[Gmsh] "Ruled" surface mathematical definition
Philippe Grenard
philippe.grenard at laposte.net
Tue Mar 17 20:42:50 CET 2009
Hi all,
I would like to understant how the "ruled surfaces" in gmsh are mathematically
defined.
I mean, let's say I have 4 lines (curved, spline or anything)
These can be discretized by 4 sets of points P(i,j) :
P(i=0 , j=1,..,,N-1)
P(i=1,...,M-1 , j=0)
P(i=M , j=1,..,,N-1)
P(i=1,...,M-1 , j=N)
How are the internal points P(i,j) of the surface defined ?
for example :
Point(1) = {0, 0, 0, 0.04};
Point(2) = {0, 1, 0, 0.04};
Point(3) = {1, 0, 0, 0.04};
Point(4) = {1, 1, 0, 0.04};
Point(5) = {1, 1, 1, 0.04};
Line(1) = {1, 2};
Line(2) = {1, 3};
Circle(3) = {5, 4, 3};
Circle(4) = {5, 4, 2};
Line Loop(5) = {2, -3, 4, -1};
Ruled Surface(6) = {5};
How can I define this surface (as a set of points for example) ?
Thank you for your help,
Philippe