<html>
  <head>
    <meta content="text/html; charset=ISO-8859-1"
      http-equiv="Content-Type">
  </head>
  <body text="#000000" bgcolor="#FFFFFF">
    <div class="moz-cite-prefix">Hi,<br>
      puh, that's weird:<br>
      First I checked my triangles if their area is > 0 (to get the
      ones which are aligned). This didn't helped as I said in my last
      mail. Now I (just for fun) checked if the area > 0.000000001
      and now it works - but I don't know why this is such a
      difference?!<br>
      <br>
      Anyway, thanks for your help!<br>
      Steffen<br>
      <br>
      Am 18.03.2014 10:57, schrieb Zenker, Dr. Matthias:<br>
    </div>
    <blockquote
cite="mid:F9562F3B302F29479A203FC5AF9E3E053077ED@SERBE4I1.intra.erbe-med.de"
      type="cite">
      <meta http-equiv="Content-Type" content="text/html;
        charset=ISO-8859-1">
      <meta name="Generator" content="Microsoft Word 14 (filtered
        medium)">
      <style><!--
/* Font Definitions */
@font-face
        {font-family:Calibri;
        panose-1:2 15 5 2 2 2 4 3 2 4;}
@font-face
        {font-family:Tahoma;
        panose-1:2 11 6 4 3 5 4 4 2 4;}
@font-face
        {font-family:Consolas;
        panose-1:2 11 6 9 2 2 4 3 2 4;}
/* Style Definitions */
p.MsoNormal, li.MsoNormal, div.MsoNormal
        {margin:0cm;
        margin-bottom:.0001pt;
        font-size:12.0pt;
        font-family:"Times New Roman","serif";
        color:black;}
a:link, span.MsoHyperlink
        {mso-style-priority:99;
        color:blue;
        text-decoration:underline;}
a:visited, span.MsoHyperlinkFollowed
        {mso-style-priority:99;
        color:purple;
        text-decoration:underline;}
pre
        {mso-style-priority:99;
        mso-style-link:"HTML Vorformatiert Zchn";
        margin:0cm;
        margin-bottom:.0001pt;
        font-size:10.0pt;
        font-family:"Courier New";
        color:black;}
p.MsoAcetate, li.MsoAcetate, div.MsoAcetate
        {mso-style-priority:99;
        mso-style-link:"Sprechblasentext Zchn";
        margin:0cm;
        margin-bottom:.0001pt;
        font-size:8.0pt;
        font-family:"Tahoma","sans-serif";
        color:black;}
span.HTMLVorformatiertZchn
        {mso-style-name:"HTML Vorformatiert Zchn";
        mso-style-priority:99;
        mso-style-link:"HTML Vorformatiert";
        font-family:Consolas;
        color:black;}
span.SprechblasentextZchn
        {mso-style-name:"Sprechblasentext Zchn";
        mso-style-priority:99;
        mso-style-link:Sprechblasentext;
        font-family:"Tahoma","sans-serif";
        color:black;}
span.moz-smiley-s3
        {mso-style-name:moz-smiley-s3;}
span.E-MailFormatvorlage22
        {mso-style-type:personal;
        font-family:"Calibri","sans-serif";
        color:#1F497D;}
span.E-MailFormatvorlage23
        {mso-style-type:personal;
        font-family:"Calibri","sans-serif";
        color:#1F497D;}
span.E-MailFormatvorlage24
        {mso-style-type:personal;
        font-family:"Calibri","sans-serif";
        color:#1F497D;}
span.E-MailFormatvorlage25
        {mso-style-type:personal;
        font-family:"Calibri","sans-serif";
        color:#1F497D;}
span.E-MailFormatvorlage26
        {mso-style-type:personal;
        font-family:"Calibri","sans-serif";
        color:#1F497D;}
span.E-MailFormatvorlage27
        {mso-style-type:personal;
        font-family:"Calibri","sans-serif";
        color:#1F497D;}
span.E-MailFormatvorlage28
        {mso-style-type:personal-reply;
        font-family:"Calibri","sans-serif";
        color:#1F497D;}
.MsoChpDefault
        {mso-style-type:export-only;
        font-size:10.0pt;}
@page WordSection1
        {size:612.0pt 792.0pt;
        margin:70.85pt 70.85pt 2.0cm 70.85pt;}
div.WordSection1
        {page:WordSection1;}
--></style><!--[if gte mso 9]><xml>
<o:shapedefaults v:ext="edit" spidmax="1026" />
</xml><![endif]--><!--[if gte mso 9]><xml>
<o:shapelayout v:ext="edit">
<o:idmap v:ext="edit" data="1" />
</o:shapelayout></xml><![endif]-->
      <div class="WordSection1">
        <p class="MsoNormal"><span
style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">Hi
            Steffen,<o:p></o:p></span></p>
        <p class="MsoNormal"><span
style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"><o:p> </o:p></span></p>
        <p class="MsoNormal"><span
style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">there
            are still ill-defined triangles, e.g. 2319, 2320, 2321.
          </span><span
style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"
            lang="EN-US">You can find that out by yourself by inspecting
            your mesh with gmsh in the way I described in my last mail.<o:p></o:p></span></p>
        <p class="MsoNormal"><span
style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"
            lang="EN-US">Remark: checking “surface faces” can help to
            examine the surface.<o:p></o:p></span></p>
        <p class="MsoNormal"><span
style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"
            lang="EN-US"><o:p> </o:p></span></p>
        <p class="MsoNormal"><span
style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"
            lang="EN-US">HTH,<o:p></o:p></span></p>
        <p class="MsoNormal"><span
style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"
            lang="EN-US"><o:p> </o:p></span></p>
        <p class="MsoNormal"><span
style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"
            lang="EN-US">Matthias<o:p></o:p></span></p>
        <p class="MsoNormal"><span
style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"
            lang="EN-US"><o:p> </o:p></span></p>
        <p class="MsoNormal"><span lang="EN-US"><o:p> </o:p></span></p>
        <div style="border:none;border-left:solid blue 1.5pt;padding:0cm
          0cm 0cm 4.0pt">
          <div>
            <div style="border:none;border-top:solid #B5C4DF
              1.0pt;padding:3.0pt 0cm 0cm 0cm">
              <p class="MsoNormal"><b><span
style="font-size:10.0pt;font-family:"Tahoma","sans-serif";color:windowtext">Von:</span></b><span
style="font-size:10.0pt;font-family:"Tahoma","sans-serif";color:windowtext">
                  Steffen Becker [<a class="moz-txt-link-freetext" href="mailto:steffenbecker87@yahoo.de">mailto:steffenbecker87@yahoo.de</a>]
                  <br>
                  <b>Gesendet:</b> Montag, 17. März 2014 22:39<br>
                  <b>An:</b> Zenker, Dr. Matthias<br>
                  <b>Cc:</b> Roman Fratczak; <a class="moz-txt-link-abbreviated" href="mailto:gmsh@geuz.org">gmsh@geuz.org</a><br>
                  <b>Betreff:</b> Re: [Gmsh] Error : Self intersecting
                  surface mesh, computing intersections (this could take
                  a while)<o:p></o:p></span></p>
            </div>
          </div>
          <p class="MsoNormal"><o:p> </o:p></p>
          <div>
            <p class="MsoNormal">Hi Matthias,<br>
              <br>
              thank you for your help!<br>
              I think I successfully deleted all the triangles with zero
              surface. Unfortunately the same error still appears (but
              at least with much less intersections). You find my new
              .msh file in the appendix. Do you have more ideas?<br>
              <br>
              Regards,<br>
              Steffen<br>
              <br>
              Am 17.03.2014 11:37, schrieb Zenker, Dr. Matthias:<o:p></o:p></p>
          </div>
          <blockquote style="margin-top:5.0pt;margin-bottom:5.0pt">
            <p class="MsoNormal"><span
style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">Hi
                Steffen,</span><o:p></o:p></p>
            <p class="MsoNormal"><span
style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> </span><o:p></o:p></p>
            <p class="MsoNormal"><span
style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"
                lang="EN-US">I think you have ill-defined triangles in
                your mesh. For example, there is a triangle 15328 which
                contains the nodes 7358, 7359, and 7360. But these nodes
                are aligned, so the triangle has zero surface. I would
                suspect this kind of problem to be the cause for the
                failure. I discovered that by examining your mesh after
                merging the intersect.pos, and by displaying node labels
                and surface labels in gmsh. I saw that this triangle was
                not visible, just its label, and searched for “15328” in
                your msh file to see what nodes it contains.</span><o:p></o:p></p>
            <p class="MsoNormal"><span
style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"
                lang="EN-US">You should make sure that this kind of
                thing cannot happen when you define the surface mesh.</span><o:p></o:p></p>
            <p class="MsoNormal"><span
style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"
                lang="EN-US"> </span><o:p></o:p></p>
            <p class="MsoNormal"><span
style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"
                lang="EN-US">HTH,</span><o:p></o:p></p>
            <p class="MsoNormal"><span
style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"
                lang="EN-US"> </span><o:p></o:p></p>
            <p class="MsoNormal"><span
style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"
                lang="EN-US">Matthias</span><o:p></o:p></p>
            <p class="MsoNormal"><span lang="EN-US"> </span><o:p></o:p></p>
            <div style="border:none;border-left:solid blue
              1.5pt;padding:0cm 0cm 0cm 4.0pt">
              <div>
                <div style="border:none;border-top:solid #B5C4DF
                  1.0pt;padding:3.0pt 0cm 0cm 0cm">
                  <p class="MsoNormal"><b><span
style="font-size:10.0pt;font-family:"Tahoma","sans-serif";color:windowtext">Von:</span></b><span
style="font-size:10.0pt;font-family:"Tahoma","sans-serif";color:windowtext">
                      Steffen Becker [<a moz-do-not-send="true"
                        href="mailto:steffenbecker87@yahoo.de">mailto:steffenbecker87@yahoo.de</a>]
                      <br>
                      <b>Gesendet:</b> Montag, 17. März 2014 11:20<br>
                      <b>An:</b> Zenker, Dr. Matthias<br>
                      <b>Cc:</b> Roman Fratczak; <a
                        moz-do-not-send="true"
                        href="mailto:gmsh@geuz.org">gmsh@geuz.org</a><br>
                      <b>Betreff:</b> Re: [Gmsh] Error : Self
                      intersecting surface mesh, computing intersections
                      (this could take a while)</span><o:p></o:p></p>
                </div>
              </div>
              <p class="MsoNormal"> <o:p></o:p></p>
              <div>
                <p class="MsoNormal">Here it is.<br>
                  <br>
                  Am 17.03.2014 11:14, schrieb Zenker, Dr. Matthias:<o:p></o:p></p>
              </div>
              <blockquote style="margin-top:5.0pt;margin-bottom:5.0pt">
                <p class="MsoNormal"><span
style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">Hi
                    Steffen,</span><o:p></o:p></p>
                <p class="MsoNormal"><span
style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> </span><o:p></o:p></p>
                <p class="MsoNormal"><span
style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"
                    lang="EN-US">I found out: Outlook is wrong.</span><o:p></o:p></p>
                <p class="MsoNormal"><span
style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"
                    lang="EN-US">I just discovered a small info saying
                    that Outlook thinks that my_file.msh is insecure and
                    that it has deleted the attachment (Grrrr). So the
                    fault was on my side, sorry. Could you try to send
                    it again with a changed extension, e.g. rename it to
                    my_file.msh.txt?</span><o:p></o:p></p>
                <p class="MsoNormal"><span
style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"
                    lang="EN-US"> </span><o:p></o:p></p>
                <p class="MsoNormal"><span
style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"
                    lang="EN-US">Matthias</span><o:p></o:p></p>
                <p class="MsoNormal"><span
style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"
                    lang="EN-US"> </span><o:p></o:p></p>
                <p class="MsoNormal"><span lang="EN-US"> </span><o:p></o:p></p>
                <div style="border:none;border-left:solid blue
                  1.5pt;padding:0cm 0cm 0cm 4.0pt">
                  <div>
                    <div style="border:none;border-top:solid #B5C4DF
                      1.0pt;padding:3.0pt 0cm 0cm 0cm">
                      <p class="MsoNormal"><b><span
style="font-size:10.0pt;font-family:"Tahoma","sans-serif";color:windowtext">Von:</span></b><span
style="font-size:10.0pt;font-family:"Tahoma","sans-serif";color:windowtext">
                          Steffen Becker [<a moz-do-not-send="true"
                            href="mailto:steffenbecker87@yahoo.de">mailto:steffenbecker87@yahoo.de</a>]
                          <br>
                          <b>Gesendet:</b> Montag, 17. März 2014 10:55<br>
                          <b>An:</b> Zenker, Dr. Matthias<br>
                          <b>Cc:</b> Roman Fratczak; <a
                            moz-do-not-send="true"
                            href="mailto:gmsh@geuz.org">gmsh@geuz.org</a><br>
                          <b>Betreff:</b> Re: [Gmsh] Error : Self
                          intersecting surface mesh, computing
                          intersections (this could take a while)</span><o:p></o:p></p>
                    </div>
                  </div>
                  <p class="MsoNormal"> <o:p></o:p></p>
                  <div>
                    <p class="MsoNormal">Hi Matthias,<br>
                      <br>
                      I don't know what's wrong here.<br>
                      When I check my mails, there is a .msh file in the
                      mail from 12.03.2014 18:21 and also one in the
                      mail from 14.03.2014 12:33.<br>
                      Finally, I sent you again a .msh file in this
                      mail. Do you receive it?<br>
                      <br>
                      Steffen<br>
                      <br>
                      <br>
                      Am 17.03.2014 09:52, schrieb Zenker, Dr. Matthias:<o:p></o:p></p>
                  </div>
                  <blockquote
                    style="margin-top:5.0pt;margin-bottom:5.0pt">
                    <p class="MsoNormal"><span
style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"
                        lang="EN-US">Hi Steffen,</span><o:p></o:p></p>
                    <p class="MsoNormal"><span
style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"
                        lang="EN-US"> </span><o:p></o:p></p>
                    <p class="MsoNormal"><span
style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"
                        lang="EN-US">in the mail you mention there is
                        only a geo file…</span><o:p></o:p></p>
                    <p class="MsoNormal"><span
style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"
                        lang="EN-US"> </span><o:p></o:p></p>
                    <p class="MsoNormal"><span
style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"
                        lang="EN-US">Matthias</span><o:p></o:p></p>
                    <p class="MsoNormal"><span
style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"
                        lang="EN-US"> </span><o:p></o:p></p>
                    <p class="MsoNormal"><span lang="EN-US"> </span><o:p></o:p></p>
                    <div style="border:none;border-left:solid blue
                      1.5pt;padding:0cm 0cm 0cm 4.0pt">
                      <div>
                        <div style="border:none;border-top:solid #B5C4DF
                          1.0pt;padding:3.0pt 0cm 0cm 0cm">
                          <p class="MsoNormal"><b><span
style="font-size:10.0pt;font-family:"Tahoma","sans-serif";color:windowtext">Von:</span></b><span
style="font-size:10.0pt;font-family:"Tahoma","sans-serif";color:windowtext">
                              Steffen Becker [<a moz-do-not-send="true"
                                href="mailto:steffenbecker87@yahoo.de">mailto:steffenbecker87@yahoo.de</a>]
                              <br>
                              <b>Gesendet:</b> Freitag, 14. März 2014
                              21:09<br>
                              <b>An:</b> Zenker, Dr. Matthias<br>
                              <b>Cc:</b> Roman Fratczak; <a
                                moz-do-not-send="true"
                                href="mailto:gmsh@geuz.org">gmsh@geuz.org</a><br>
                              <b>Betreff:</b> Re: [Gmsh] Error : Self
                              intersecting surface mesh, computing
                              intersections (this could take a while)</span><o:p></o:p></p>
                        </div>
                      </div>
                      <p class="MsoNormal"> <o:p></o:p></p>
                      <div>
                        <p class="MsoNormal">Hi Matthias,<br>
                          <br>
                          hm, I sent it on 12.03.2014 18:21, don't know
                          what went wrong.<br>
                          As you see, I created a ASCII .msh file as
                          explained in the documentation, so I hope it's
                          correct.<br>
                          What can I do now?<br>
                          <br>
                          Steffen<br>
                          <br>
                          Am 14.03.2014 13:05, schrieb Zenker, Dr.
                          Matthias:<o:p></o:p></p>
                      </div>
                      <blockquote
                        style="margin-top:5.0pt;margin-bottom:5.0pt">
                        <p class="MsoNormal"><span
style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">Hi
                            Steffen,</span><o:p></o:p></p>
                        <p class="MsoNormal"><span
style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> </span><o:p></o:p></p>
                        <p class="MsoNormal"><span
style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"
                            lang="EN-US">there was no msh file in any of
                            your mails.</span><o:p></o:p></p>
                        <p class="MsoNormal"><span
style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"
                            lang="EN-US">Depending on what is in the msh
                            file, your steps seem correct to me.</span><o:p></o:p></p>
                        <p class="MsoNormal"><span
style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"
                            lang="EN-US"> </span><o:p></o:p></p>
                        <p class="MsoNormal"><span
style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"
                            lang="EN-US">Matthias</span><o:p></o:p></p>
                        <p class="MsoNormal"><span lang="EN-US"> </span><o:p></o:p></p>
                        <div style="border:none;border-left:solid blue
                          1.5pt;padding:0cm 0cm 0cm 4.0pt">
                          <div>
                            <div style="border:none;border-top:solid
                              #B5C4DF 1.0pt;padding:3.0pt 0cm 0cm 0cm">
                              <p class="MsoNormal"><b><span
style="font-size:10.0pt;font-family:"Tahoma","sans-serif";color:windowtext">Von:</span></b><span
style="font-size:10.0pt;font-family:"Tahoma","sans-serif";color:windowtext">
                                  Steffen Becker [<a
                                    moz-do-not-send="true"
                                    href="mailto:steffenbecker87@yahoo.de">mailto:steffenbecker87@yahoo.de</a>]
                                  <br>
                                  <b>Gesendet:</b> Freitag, 14. März
                                  2014 12:33<br>
                                  <b>An:</b> Zenker, Dr. Matthias<br>
                                  <b>Cc:</b> Roman Fratczak; <a
                                    moz-do-not-send="true"
                                    href="mailto:gmsh@geuz.org">gmsh@geuz.org</a><br>
                                  <b>Betreff:</b> Re: [Gmsh] Error :
                                  Self intersecting surface mesh,
                                  computing intersections (this could
                                  take a while)</span><o:p></o:p></p>
                            </div>
                          </div>
                          <p class="MsoNormal"> <o:p></o:p></p>
                          <div>
                            <p class="MsoNormal">Hi Matthias,<br>
                              <br>
                              I think you are talking about your mail
                              from 12.03.2014 09:59 ?<br>
                              In one of my last mails I already sent you
                              a selfcreated .msh file - but the 3D mesh
                              still failes. The intersect.pos shows me
                              some
                              <o:p></o:p></p>
                            <p class="MsoNormal"><span lang="EN-US">intersections,
                                but when I check my nodes for duplicates
                                I can't find any.<br>
                              </span>Hope my steps are correct:<br>
                              - create "my_file.msh" with my python
                              script and check it for nodes duplications
                              -> none found<br>
                              - open "my_file.geo" in Gmsh<br>
                              - do "Modules" -> "Mesh" -> "3D"<br>
                              - receive error message<br>
                              - merge "intersect.pos" and see some
                              intersections but I don't know why because
                              the are no duplicated nodes<br>
                              <br>
                              Steffen<br>
                              <br>
                              <br>
                              Am 14.03.2014 09:50, schrieb Zenker, Dr.
                              Matthias:<o:p></o:p></p>
                          </div>
                          <blockquote
                            style="margin-top:5.0pt;margin-bottom:5.0pt">
                            <p class="MsoNormal"><span
style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"
                                lang="EN-US">Hi Steffen,</span><o:p></o:p></p>
                            <p class="MsoNormal"><span
style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"
                                lang="EN-US"> </span><o:p></o:p></p>
                            <p class="MsoNormal"><span
style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"
                                lang="EN-US">you should be able to
                                generate a filled volume mesh if you
                                follow my suggestion from the other
                                mail:</span><o:p></o:p></p>
                            <p class="MsoNormal"><span
style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"
                                lang="EN-US"> </span><o:p></o:p></p>
                            <p class="MsoNormal"><span
style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"
                                lang="EN-US">Write  the 2D mesh in gmsh
                                format (e.g. as outerface.msh, gmsh
                                documentation for more info on the msh
                                format) and merge that one instead of
                                the myfile.ply2 file, leaving the other
                                command lines in your .geo file as they
                                are. If you then do a 3D mesh, gmsh will
                                take the 2D mesh as defined in your
                                file. You can then refine the mesh if
                                you wish.</span><o:p></o:p></p>
                            <p class="MsoNormal"><span
style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"
                                lang="EN-US"> </span><o:p></o:p></p>
                            <p class="MsoNormal"><span
style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"
                                lang="EN-US">HTH,</span><o:p></o:p></p>
                            <p class="MsoNormal"><span
style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"
                                lang="EN-US"> </span><o:p></o:p></p>
                            <p class="MsoNormal"><span
style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"
                                lang="EN-US">Matthias</span><o:p></o:p></p>
                            <p class="MsoNormal"><span
style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"
                                lang="EN-US"> </span><o:p></o:p></p>
                            <p class="MsoNormal"><span lang="EN-US"> </span><o:p></o:p></p>
                            <div style="border:none;border-left:solid
                              blue 1.5pt;padding:0cm 0cm 0cm 4.0pt">
                              <div>
                                <div style="border:none;border-top:solid
                                  #B5C4DF 1.0pt;padding:3.0pt 0cm 0cm
                                  0cm">
                                  <p class="MsoNormal"><b><span
style="font-size:10.0pt;font-family:"Tahoma","sans-serif";color:windowtext">Von:</span></b><span
style="font-size:10.0pt;font-family:"Tahoma","sans-serif";color:windowtext">
                                      Steffen Becker [<a
                                        moz-do-not-send="true"
                                        href="mailto:steffenbecker87@yahoo.de">mailto:steffenbecker87@yahoo.de</a>]
                                      <br>
                                      <b>Gesendet:</b> Mittwoch, 12.
                                      März 2014 20:00<br>
                                      <b>An:</b> Roman Fratczak<br>
                                      <b>Cc:</b> Zenker, Dr. Matthias; <a
                                        moz-do-not-send="true"
                                        href="mailto:gmsh@geuz.org">gmsh@geuz.org</a><br>
                                      <b>Betreff:</b> Re: [Gmsh] Error :
                                      Self intersecting surface mesh,
                                      computing intersections (this
                                      could take a while)</span><o:p></o:p></p>
                                </div>
                              </div>
                              <p class="MsoNormal"> <o:p></o:p></p>
                              <div>
                                <p class="MsoNormal">Hi,<br>
                                  <br>
                                  I'm so sorry for all time you spent
                                  with my problem, but now I see: We
                                  talk at cross. It's my fault, I didn't
                                  explained correctly what I need.<br>
                                  I want to receive a *filled* volume
                                  mesh.<br>
                                  I created 2 files (steffen.stl and
                                  steffen2.stl) with my python script.<br>
                                  With steffen.stl I successfully could
                                  create such a filled volume mesh as
                                  seen in steffen.msh.<br>
                                  When I try exactly the same with
                                  steffen2.stl then I get the error
                                  message in the subject (and the
                                  surface mesh doesn't get filled).<br>
                                  So that's why the .iges file you sent
                                  me isn't what I need.<br>
                                  <br>
                                  Sorry for all this confusion,<br>
                                  Steffen<br>
                                  <br>
                                  <br>
                                  Am 12.03.2014 18:53, schrieb Roman
                                  Fratczak:<o:p></o:p></p>
                              </div>
                              <blockquote
                                style="margin-top:5.0pt;margin-bottom:5.0pt">
                                <div>
                                  <p class="MsoNormal">Steffen,<br>
                                    <br>
                                    I did a volume based on your surface
                                    mesh - see attached IGES (compressed
                                    with 7-zip).<br>
                                    After reading it into GMSH, you can
                                    create the 1D, then 2D and finally
                                    3D mesh with no errors.<br>
                                    <br>
                                    You can do the same using GMSH
                                    volume definition (as already
                                    wrote)-> it will work, as the
                                    fundamental faces are plane
                                    triangles.<br>
                                    <br>
                                    Regards<br>
                                    Roman<br>
                                    <br>
                                    <br>
                                    W dniu 12.03.2014 18:27, Steffen
                                    Becker pisze:<o:p></o:p></p>
                                </div>
                                <blockquote
                                  style="margin-top:5.0pt;margin-bottom:5.0pt">
                                  <div>
                                    <p class="MsoNormal">Wrong .geo
                                      file, sorry!<br>
                                      <br>
                                      Am 12.03.2014 18:21, schrieb
                                      Steffen Becker:<o:p></o:p></p>
                                  </div>
                                  <blockquote
                                    style="margin-top:5.0pt;margin-bottom:5.0pt">
                                    <div>
                                      <p class="MsoNormal">Thank you so
                                        far,<br>
                                        <br>
                                        I create both files: .msh and
                                        .geo, but I still get the same
                                        error. What's my mistake?<br>
                                        <br>
                                        Steffen<br>
                                        <br>
                                        Am 12.03.2014 11:48, schrieb
                                        Roman Fratczak:<o:p></o:p></p>
                                    </div>
                                    <blockquote
                                      style="margin-top:5.0pt;margin-bottom:5.0pt">
                                      <div>
                                        <p class="MsoNormal">Hi,<br>
                                          <br>
                                          FYI - you can remove double
                                          vertices/edges (or repair) in
                                          mesh in FreeCad (for exampe).<br>
                                          <br>
                                          regards<br>
                                          Roman<br>
                                          <br>
                                          <br>
                                          <br>
                                          W dniu 12.03.2014 10:17,
                                          Steffen Becker pisze:<o:p></o:p></p>
                                      </div>
                                      <blockquote
                                        style="margin-top:5.0pt;margin-bottom:5.0pt">
                                        <div>
                                          <p class="MsoNormal">Hi
                                            Matthias & Roman,<br>
                                            <br>
                                            I create a nodes- and
                                            elements-list like this:<br>
                                            # nodes:<br>
                                            N1 0,0,0<br>
                                            N2 0,1,0<br>
                                            N3 1,0,0<br>
                                            N4 0,0,1<br>
                                            # elements, which describe
                                            triangles:<br>
                                            E1 1,2,3<br>
                                            E2 2,3,4<br>
                                            <br>
                                            So I do have double edges
                                            (here: between node 2+3).
                                            Didn't now that this is a
                                            problem for gmsh, sorry.<br>
                                            <br>
                                            I will try Romans solution
                                            asap and give you a
                                            feedback.<br>
                                            Thank you both!<br>
                                            <br>
                                            Steffen<br>
                                            <br>
                                            <br>
                                            Am 12.03.2014 09:59, schrieb
                                            Zenker, Dr. Matthias:<o:p></o:p></p>
                                        </div>
                                        <blockquote
                                          style="margin-top:5.0pt;margin-bottom:5.0pt">
                                          <p class="MsoNormal"><span
style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">Hi
                                              Steffen,</span><o:p></o:p></p>
                                          <p class="MsoNormal"><span
style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"> </span><o:p></o:p></p>
                                          <p class="MsoNormal"><span
style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"
                                              lang="EN-US">I am not
                                              totally sure from what you
                                              wrote that there are
                                              really no duplicated
                                              nodes. In gmsh, you need
                                              to define the surfaces in
                                              a way that neighbouring
                                              surfaces/facets with a
                                              common border use the _<i>same</i>_
                                              nodes to define the
                                              border. I could not see
                                              from your file if there
                                              are duplicated nodes, and
                                              would propose that you
                                              make sure that there are
                                              really no such
                                              duplications.</span><o:p></o:p></p>
                                          <p class="MsoNormal"><span
style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"
                                              lang="EN-US"> </span><o:p></o:p></p>
                                          <p class="MsoNormal"><span
style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"
                                              lang="EN-US">If the
                                              meshing still fails, then
                                              this is a question for the
                                              real gurus (Christophe?).</span><o:p></o:p></p>
                                          <p class="MsoNormal"><span
style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"
                                              lang="EN-US"> </span><o:p></o:p></p>
                                          <p class="MsoNormal"><span
style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"
                                              lang="EN-US">HTH,</span><o:p></o:p></p>
                                          <p class="MsoNormal"><span
style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"
                                              lang="EN-US"> </span><o:p></o:p></p>
                                          <p class="MsoNormal"><span
style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"
                                              lang="EN-US">Matthias</span><o:p></o:p></p>
                                          <p class="MsoNormal"><span
style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"
                                              lang="EN-US"> </span><o:p></o:p></p>
                                          <p class="MsoNormal"><span
                                              lang="EN-US"> </span><o:p></o:p></p>
                                          <div
                                            style="border:none;border-left:solid
                                            blue 1.5pt;padding:0cm 0cm
                                            0cm 4.0pt">
                                            <div>
                                              <div
                                                style="border:none;border-top:solid
                                                #B5C4DF
                                                1.0pt;padding:3.0pt 0cm
                                                0cm 0cm">
                                                <p class="MsoNormal"><b><span
style="font-size:10.0pt;font-family:"Tahoma","sans-serif";color:windowtext"
                                                      lang="EN-US">Von:</span></b><span
style="font-size:10.0pt;font-family:"Tahoma","sans-serif";color:windowtext"
                                                    lang="EN-US"> Roman
                                                    Fratczak [<a
                                                      moz-do-not-send="true"
href="mailto:fratczakroman@o2.pl">mailto:fratczakroman@o2.pl</a>]
                                                    <br>
                                                  </span><b><span
style="font-size:10.0pt;font-family:"Tahoma","sans-serif";color:windowtext">Gesendet:</span></b><span
style="font-size:10.0pt;font-family:"Tahoma","sans-serif";color:windowtext">
                                                    Mittwoch, 12. März
                                                    2014 09:51<br>
                                                    <b>An:</b> Steffen
                                                    Becker<br>
                                                    <b>Cc:</b> <a
                                                      moz-do-not-send="true"
href="mailto:gmsh@geuz.org">gmsh@geuz.org</a><br>
                                                    <b>Betreff:</b> Re:
                                                    [Gmsh] Error : Self
                                                    intersecting surface
                                                    mesh, computing
                                                    intersections (this
                                                    could take a while)</span><o:p></o:p></p>
                                              </div>
                                            </div>
                                            <p class="MsoNormal"> <o:p></o:p></p>
                                            <div>
                                              <p class="MsoNormal">Hi
                                                Steffen,<br>
                                                <br>
                                                No it is more clear. If
                                                you are working with
                                                cloud of point, then you
                                                may use Meshlab for
                                                surface regeneration.
                                                There are many software
                                                that are able to handle
                                                in a resonable way the
                                                cloud of points (like
                                                rhino3D + resurf,
                                                other). But these are
                                                rather commercial.<br>
                                                <br>
                                                From the other side -
                                                try to do the simplest
                                                thing:<br>
                                                <br>
                                                Adjust your python
                                                script for surface
                                                creation in order to
                                                save not as PLY but as
                                                GMSH "geo" file using
                                                points and lines<br>
                                                <br>
                                                Point(1)={0,0,0} ;<br>
                                                Point(2)={0,1,0} ;<br>
                                                ...<br>
                                                <br>
                                                Line(1) = {1,2};<br>
                                                ..<br>
                                                and.. Line Loop &
                                                Surface -> Volume ..<br>
                                                <br>
                                                Then you will get a
                                                volume defined by
                                                geometric entities. In
                                                this case is shoul be
                                                easier to create a
                                                better mesh on surface
                                                and then on whole
                                                volume.<br>
                                                <br>
                                                Regards<br>
                                                Roman<br>
                                                <br>
                                                <br>
                                                 <br>
                                                W dniu 11.03.2014 17:59,
                                                Steffen Becker pisze:<o:p></o:p></p>
                                            </div>
                                            <blockquote
                                              style="margin-top:5.0pt;margin-bottom:5.0pt">
                                              <div>
                                                <p class="MsoNormal">Hi,<br>
                                                  <br>
                                                  @ Roman:<br>
                                                  some more details:<br>
                                                  I have a point cloud
                                                  given and generate the
                                                  surface mesh by myself
                                                  (with python). I don't
                                                  know a good algorithm
                                                  to create a volume
                                                  mesh out of this
                                                  surface mesh - that's
                                                  why I use gmsh for
                                                  this task.<br>
                                                  I also checked my
                                                  surface mesh for
                                                  double vertexes but I
                                                  didn't find any. What
                                                  do you mean with
                                                  "double egdes"? Isn't
                                                  there always a "double
                                                  edge", because two
                                                  neighbour facets
                                                  always have one same
                                                  edge?!<br>
                                                  <br>
                                                  I will send you a
                                                  .step or .iges file as
                                                  soon as I figured out
                                                  how to handle the "No
                                                  OpenCASCADE model
                                                  found" error.<br>
                                                  <br>
                                                  I'm appending the
                                                  other mailing history
                                                  (with Matthias) to
                                                  this mail - sorry for
                                                  that "double mailing",
                                                  I just forgot one time
                                                  to "reply to all" -.-<br>
                                                  Anyone else has an
                                                  idea why the meshing
                                                  fails?<br>
                                                  <br>
                                                  Regards and thank you
                                                  a lot,<br>
                                                  Steffen<br>
                                                  <br>
                                                  <br>
                                                  <br>
                                                  <br>
                                                  <br>
                                                  <br>
                                                  <br>
                                                  <br>
                                                  <br>
                                                  <o:p></o:p></p>
                                                <pre>Hi Steffen,<o:p></o:p></pre>
                                                <pre> <o:p></o:p></pre>
                                                <pre>I don't see either why the meshing fails, sorry.<o:p></o:p></pre>
                                                <pre> <o:p></o:p></pre>
                                                <pre>Matthias<o:p></o:p></pre>
                                                <pre> <o:p></o:p></pre>
                                                <pre>-----Ursprüngliche Nachricht-----<o:p></o:p></pre>
                                                <pre>Von: Steffen Becker [<a moz-do-not-send="true" href="mailto:steffenbecker87@yahoo.de">mailto:steffenbecker87@yahoo.de</a>]<o:p></o:p></pre>
                                                <pre>Gesendet: Dienstag, 11. März 2014 14:42<o:p></o:p></pre>
                                                <pre>An: Zenker, Dr. Matthias<o:p></o:p></pre>
                                                <pre>Cc: <a moz-do-not-send="true" href="mailto:gmsh@geuz.org">gmsh@geuz.org</a><o:p></o:p></pre>
                                                <pre>Betreff: Re: [Gmsh] Error : Self intersecting surface mesh, computing<o:p></o:p></pre>
                                                <pre>intersections (this could take a while)<o:p></o:p></pre>
                                                <pre> <o:p></o:p></pre>
                                                <pre>Oh I'm really sorry, here is the file.<o:p></o:p></pre>
                                                <pre>In addition I sent you also the intersect.pos. I don't understand why exactly<o:p></o:p></pre>
                                                <pre>these surfaces are problematic and the "neighbour surfaces"<o:p></o:p></pre>
                                                <pre>aren't - although they have the same geometry =/<o:p></o:p></pre>
                                                <pre> <o:p></o:p></pre>
                                                <pre>Am 11.03.2014 12:07, schrieb Zenker, Dr. Matthias:<o:p></o:p></pre>
                                                <pre>Hi Steffen,<o:p></o:p></pre>
                                                <pre> <o:p></o:p></pre>
                                                <pre>if you don't provide the myfile.ply2, we cannot see your geometry...<o:p></o:p></pre>
                                                <pre> You can visualize intersect.pos by merging it to your geometry.<o:p></o:p></pre>
                                                <pre> <o:p></o:p></pre>
                                                <pre>HTH,<o:p></o:p></pre>
                                                <pre> <o:p></o:p></pre>
                                                <pre>Matthias<o:p></o:p></pre>
                                                <pre> <o:p></o:p></pre>
                                                <pre> <o:p></o:p></pre>
                                                <p class="MsoNormal">Am
                                                  11.03.2014 14:33,
                                                  schrieb Roman
                                                  Fratczak:<o:p></o:p></p>
                                              </div>
                                              <blockquote
                                                style="margin-top:5.0pt;margin-bottom:5.0pt">
                                                <div>
                                                  <p class="MsoNormal">Hello,<br>
                                                    <br>
                                                    It is possible, that
                                                    you will get your
                                                    geometry in other
                                                    format? <br>
                                                    In your "ply" there
                                                    is already a surface
                                                    mesh given. Try
                                                    maybe use STEP,
                                                    IGES,...  as input-
                                                    then it is easer to
                                                    recalculate the
                                                    surface mesh.<br>
                                                    <br>
                                                    In case of need of
                                                    usage of "a dead
                                                    mesh" - maybe try
                                                    first to remesh it
                                                    (i.e. in blender
                                                    with modification
                                                    Remesh) and/or clean
                                                    it (removing double
                                                    vertexes and edges).<br>
                                                    <br>
                                                    regards<br>
                                                    Roman<br>
                                                    <br>
                                                    <br>
                                                    <br>
                                                    <br>
                                                    W dniu 11.03.2014
                                                    12:13, Steffen
                                                    Becker pisze:<o:p></o:p></p>
                                                </div>
                                                <blockquote
                                                  style="margin-top:5.0pt;margin-bottom:5.0pt">
                                                  <div>
                                                    <p class="MsoNormal">Hi,<br>
                                                      <br>
                                                      in the appendix
                                                      you find my model.<br>
                                                      Thanks for  help!!<br>
                                                      <br>
                                                      Regards,<br>
                                                      Steffen<br>
                                                      <br>
                                                      Am 11.03.2014
                                                      11:47, schrieb
                                                      Roman Fratczak:<o:p></o:p></p>
                                                  </div>
                                                  <blockquote
                                                    style="margin-top:5.0pt;margin-bottom:5.0pt">
                                                    <div>
                                                      <p
                                                        class="MsoNormal">Hello
                                                        Steffen,<br>
                                                        <br>
                                                        Yes. You can try
                                                        to the first
                                                        Optimize quality
                                                        of tetra, or all
                                                        of them (just
                                                        try).<br>
                                                        <br>
                                                        I don't know how
                                                        your model looks
                                                        like. If the
                                                        elements on the
                                                        surface are too
                                                        big, then the
                                                        solid elements
                                                        (probably
                                                        tetragonal) may
                                                        be with
                                                        intersecting
                                                        edges or faces.
                                                        Therefore the
                                                        reducing size of
                                                        element may help
                                                        (especially on
                                                        the surfaces).<br>
                                                        <br>
                                                        Or- just share
                                                        your model (ply)
                                                        -in order to be
                                                        more precise.<br>
                                                        <br>
                                                        regards<br>
                                                        Roman<br>
                                                        <br>
                                                        <br>
                                                        <br>
                                                        W dniu
                                                        10.03.2014
                                                        18:06, Steffen
                                                        Becker pisze:<o:p></o:p></p>
                                                    </div>
                                                    <blockquote
                                                      style="margin-top:5.0pt;margin-bottom:5.0pt">
                                                      <div>
                                                        <p
                                                          class="MsoNormal">Hi
                                                          Roman,<br>
                                                          when you say
                                                          "enable
                                                          option:
                                                          optimize", you
                                                          mean" Tools
                                                          -> Options
                                                          -> Mesh
                                                          -> Advanced
                                                          -> Optimize
                                                          quality of
                                                          tetrahedra,
                                                          Optimize
                                                          quality of
                                                          tetrahedra
                                                          with Netgen,
                                                          Optimize high
                                                          order meshes
                                                          (experimental)"
                                                          ?<br>
                                                          And why is
                                                          reducing
                                                          element size
                                                          important? In
                                                          my case it is
                                                          important that
                                                          the object has
                                                          such "90
                                                          degree
                                                          corners".<br>
                                                          <br>
                                                          Regards,<br>
                                                          Steffen<br>
                                                          <br>
                                                          Am 10.03.2014
                                                          16:55, schrieb
                                                          Roman
                                                          Fratczak:<o:p></o:p></p>
                                                      </div>
                                                      <blockquote
                                                        style="margin-top:5.0pt;margin-bottom:5.0pt">
                                                        <div>
                                                          <p
                                                          class="MsoNormal">Hi
                                                          Steffen,<br>
                                                          <br>
                                                          If your volume
                                                          is OK (is
                                                          really a
                                                          closed one) -
                                                          try to:<br>
                                                          <br>
                                                          1. Reduce
                                                          element size
                                                          (especially in
                                                          a curved
                                                          shapes)<br>
                                                          2. Enable
                                                          option
                                                          "Optimize" -
                                                          in mesh
                                                          options <br>
                                                          <br>
                                                          Regards<br>
                                                          Roman<br>
                                                          <br>
                                                          <br>
                                                          <br>
                                                          W dniu
                                                          10.03.2014
                                                          16:41, Steffen
                                                          Becker pisze:<o:p></o:p></p>
                                                        </div>
                                                        <blockquote
                                                          style="margin-top:5.0pt;margin-bottom:5.0pt">
                                                          <p
                                                          class="MsoNormal">Hello
                                                          everyone, <br>
                                                          <br>
                                                          I'm a gmsh
                                                          beginner and I
                                                          want to create
                                                          a 3D volume
                                                          mesh out of a
                                                          given
                                                          surface-mesh
                                                          but I got the
                                                          error message
                                                          as seen in the
                                                          subject. You
                                                          find my .geo
                                                          file in the
                                                          appendix.
                                                          <br>
                                                          Can anyone
                                                          tell me what I
                                                          have to do to
                                                          create a 3D
                                                          mesh? I even
                                                          can't figure
                                                          out where the
                                                          intersection
                                                          are located
                                                          (don't know
                                                          how to read
                                                          the
                                                          intersect.pos).
                                                          <br>
                                                          Sorry for my
                                                          poor english.
                                                          <br>
                                                          <br>
                                                          Regards, <br>
                                                          Steffen <br>
                                                          <br>
                                                          <br>
                                                          <br>
                                                          <br>
                                                          <br>
                                                          <br>
                                                          <br>
                                                          <br>
                                                          <br>
                                                          <o:p></o:p></p>
                                                          <pre>_______________________________________________<o:p></o:p></pre>
                                                          <pre>gmsh mailing list<o:p></o:p></pre>
                                                          <pre><a moz-do-not-send="true" href="mailto:gmsh@geuz.org">gmsh@geuz.org</a><o:p></o:p></pre>
                                                          <pre><a moz-do-not-send="true" href="http://www.geuz.org/mailman/listinfo/gmsh">http://www.geuz.org/mailman/listinfo/gmsh</a><o:p></o:p></pre>
                                                        </blockquote>
                                                        <p
                                                          class="MsoNormal"><br>
                                                          <br>
                                                          <br>
                                                          <br>
                                                          <br>
                                                          <br>
                                                          <br>
                                                          <br>
                                                          <br>
                                                          <br>
                                                          <o:p></o:p></p>
                                                        <pre>_______________________________________________<o:p></o:p></pre>
                                                        <pre>gmsh mailing list<o:p></o:p></pre>
                                                        <pre><a moz-do-not-send="true" href="mailto:gmsh@geuz.org">gmsh@geuz.org</a><o:p></o:p></pre>
                                                        <pre><a moz-do-not-send="true" href="http://www.geuz.org/mailman/listinfo/gmsh">http://www.geuz.org/mailman/listinfo/gmsh</a><o:p></o:p></pre>
                                                      </blockquote>
                                                      <p
                                                        class="MsoNormal"><br>
                                                        <br>
                                                        <br>
                                                        <br>
                                                        <br>
                                                        <br>
                                                        <br>
                                                        <br>
                                                        <br>
                                                        <br>
                                                        <o:p></o:p></p>
                                                      <pre>_______________________________________________<o:p></o:p></pre>
                                                      <pre>gmsh mailing list<o:p></o:p></pre>
                                                      <pre><a moz-do-not-send="true" href="mailto:gmsh@geuz.org">gmsh@geuz.org</a><o:p></o:p></pre>
                                                      <pre><a moz-do-not-send="true" href="http://www.geuz.org/mailman/listinfo/gmsh">http://www.geuz.org/mailman/listinfo/gmsh</a><o:p></o:p></pre>
                                                    </blockquote>
                                                    <p class="MsoNormal"> <o:p></o:p></p>
                                                  </blockquote>
                                                  <p class="MsoNormal"> <o:p></o:p></p>
                                                </blockquote>
                                                <p class="MsoNormal"> <o:p></o:p></p>
                                              </blockquote>
                                              <p class="MsoNormal"> <o:p></o:p></p>
                                            </blockquote>
                                            <p class="MsoNormal"> <o:p></o:p></p>
                                          </div>
                                          <p class="MsoNormal"
                                            style="margin-bottom:12.0pt"><br>
                                            <br>
_____________________________________________________________________<br>
                                            ERBE Elektromedizin GmbH<br>
                                            Firmensitz: 72072 Tuebingen<br>
                                            Geschaeftsfuehrer: Christian
                                            O. Erbe, Reiner Thede<br>
                                            Registergericht: Stuttgart
                                            HRB 380137<o:p></o:p></p>
                                        </blockquote>
                                        <p class="MsoNormal"> <o:p></o:p></p>
                                      </blockquote>
                                      <p class="MsoNormal"> <o:p></o:p></p>
                                    </blockquote>
                                    <p class="MsoNormal"> <o:p></o:p></p>
                                  </blockquote>
                                  <p class="MsoNormal"> <o:p></o:p></p>
                                </blockquote>
                                <p class="MsoNormal"> <o:p></o:p></p>
                              </blockquote>
                              <p class="MsoNormal"> <o:p></o:p></p>
                            </div>
                            <p class="MsoNormal"
                              style="margin-bottom:12.0pt"><br>
                              <br>
_____________________________________________________________________<br>
                              ERBE Elektromedizin GmbH<br>
                              Firmensitz: 72072 Tuebingen<br>
                              Geschaeftsfuehrer: Christian O. Erbe,
                              Reiner Thede<br>
                              Registergericht: Stuttgart HRB 380137<o:p></o:p></p>
                          </blockquote>
                          <p class="MsoNormal"> <o:p></o:p></p>
                        </div>
                        <p class="MsoNormal"
                          style="margin-bottom:12.0pt"><br>
                          <br>
_____________________________________________________________________<br>
                          ERBE Elektromedizin GmbH<br>
                          Firmensitz: 72072 Tuebingen<br>
                          Geschaeftsfuehrer: Christian O. Erbe, Reiner
                          Thede<br>
                          Registergericht: Stuttgart HRB 380137<o:p></o:p></p>
                      </blockquote>
                      <p class="MsoNormal"> <o:p></o:p></p>
                    </div>
                    <p class="MsoNormal" style="margin-bottom:12.0pt"><br>
                      <br>
_____________________________________________________________________<br>
                      ERBE Elektromedizin GmbH<br>
                      Firmensitz: 72072 Tuebingen<br>
                      Geschaeftsfuehrer: Christian O. Erbe, Reiner Thede<br>
                      Registergericht: Stuttgart HRB 380137<o:p></o:p></p>
                  </blockquote>
                  <p class="MsoNormal"> <o:p></o:p></p>
                </div>
                <p class="MsoNormal" style="margin-bottom:12.0pt"><br>
                  <br>
_____________________________________________________________________<br>
                  ERBE Elektromedizin GmbH<br>
                  Firmensitz: 72072 Tuebingen<br>
                  Geschaeftsfuehrer: Christian O. Erbe, Reiner Thede<br>
                  Registergericht: Stuttgart HRB 380137<o:p></o:p></p>
              </blockquote>
              <p class="MsoNormal"> <o:p></o:p></p>
            </div>
            <p class="MsoNormal" style="margin-bottom:12.0pt"><br>
              <br>
_____________________________________________________________________<br>
              ERBE Elektromedizin GmbH<br>
              Firmensitz: 72072 Tuebingen<br>
              Geschaeftsfuehrer: Christian O. Erbe, Reiner Thede<br>
              Registergericht: Stuttgart HRB 380137<o:p></o:p></p>
          </blockquote>
          <p class="MsoNormal"><o:p> </o:p></p>
        </div>
      </div>
      <br>
      <br>
_____________________________________________________________________<br>
      ERBE Elektromedizin GmbH<br>
      Firmensitz: 72072 Tuebingen<br>
      Geschaeftsfuehrer: Christian O. Erbe, Reiner Thede<br>
      Registergericht: Stuttgart HRB 380137<br>
      <br>
    </blockquote>
    <br>
  </body>
</html>