3
$\begingroup$

I have a triangle that is extended in space and each edge is refracted differently, creating a 5 sided polytope. The initial and final triangles are the view radii segments of a frustum. We need to get the u and v along the triangle and the w depth in between the triangles of a point inside the polytope.

$\endgroup$
  • $\begingroup$ You also can use Transfinite interpolation where you take the refracted triangle as a four sides polygon by having vertices at sides. en.wikipedia.org/wiki/Transfinite_interpolation $\endgroup$ – ali Jun 7 '18 at 6:35
  • $\begingroup$ or this link:ebrary.free.fr/Mesh%20Generation/… $\endgroup$ – ali Jun 7 '18 at 8:11
  • $\begingroup$ I'm not clear on what shape you're trying to parameterize. Is it an oblique triangular prism? What's a refracted edge? Are the triangles parallel? Could you draw a picture of the shape? $\endgroup$ – gilgamec May 3 '19 at 7:45
0
$\begingroup$

I think I can do this using trilinear interpolation and treating two vertices on each side as merged and using my own volume calculations. I just need to interpolate some values given by the three points and a z. http://bmia.bmt.tue.nl/People/BRomeny/Courses/8C080/Interpolation.pdf

| improve this answer | |
$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.