hongde@ms.uky.edu (Hongde Luo) (11/03/90)
I need rendering routine which can do the following:
Given a triangle represented by three vertices: M1(x1,y1,z1),
M2(x2,y2,z2) and M3(x3,y3,z3); the "density" at these three
vertices are d1, d2 and d3, respectively. I also have another
point M(x,y,z) inside the triangle. I want to find the "rendered
density" at point M.
I was going to do it my self but it seems more complicated than I thought,
I appreciate any pointer to a reference or a code. Thanks in advance.
Hongde
--
************************>>>> hongde@ms.uky.edu <<<<************************
* Hongde Luo Center for Computational Science Univ. of Kentucky *
************************>>>> (606)-257-8741 <<<<************************joerg@cat.de (Markus Schichtel) (11/08/90)
Hongde Luo (hongde@ms.uky.edu) schrieb am 3.11.: > > I need rendering routine which can do the following: > > Given a triangle represented by three vertices: M1(x1,y1,z1), > M2(x2,y2,z2) and M3(x3,y3,z3); the "density" at these three > vertices are d1, d2 and d3, respectively. I also have another > point M(x,y,z) inside the triangle. I want to find the "rendered > density" at point M. > > I was going to do it my self but it seems more complicated than I thought, > I appreciate any pointer to a reference or a code. Thanks in advance. > > Hongde > > -- > ************************>>>> hongde@ms.uky.edu <<<<************************ > * Hongde Luo Center for Computational Science Univ. of Kentucky * > ************************>>>> (606)-257-8741 <<<<************************ Try out barycentric coordinates.It's appropriate since your point M is inside the triangle.Barycentric coordinates of M are (u,v,w) where u+v+w = 1. Then weigh the density of M1 M2 M3 by u,v,w respectively. Note that M1 has coordinates(1,0,0) M2 (0,1,0) M3 (0,0,1) in barycentric coordinates.If you don't know how to handle those coordinates feel free to contact me again. --- Markus Schichtel (joerg@cat.de) C.A.T. Kommunikations-System, Frankfurt