Re: [help-3dldf] Fwd: Re: button-hole problem
"Laurence Finston" <[email protected]> Sun, 24 Apr 2005 22:08:20 +0200
| Newsgroups | gmane.comp.tex.metafont |
|---|---|
| Message-ID | <[email protected]> |
> Take, for example, two parallel triangles. >=20 > A B > /\ /\ > / \/ \ > / /\ \ > / C/__\___\D > /________\ > E F >=20 > If AEF is in front of BCD, then >=20 > A B > /\ /\ > / \/g \ > / \ \ > / \h__\D > /________\ > E F >=20 > the plan containing A, F and Focus::position has cut BCD in two parts. > Cgh is occluded and BghD is not. Thanks for the explanation. The case I'm having difficulty with is where= the triangles lie in a plane parallel to the x-z plane, the line Focus::posit= ion -- Focus::direction also lies in a plane parallel to the x-z plane, and t= he triangles as seen from above look something like this, but rotated about = plus or minus 75=B0: ______ | /| | / |=20 | / | | A / | | / B | | / | | / | I / | =20 | / | |/_____| I've implemented routines for "self-decomposition" of polygons, but I'm a= fraid that no matter how many pieces I break them into, simply sorting by their max-z, min-z, or mean-z values will fail for some of them. I may try projecting a ray from Focus::position through each of the vertices and te= sting the distance from Focus::position to the first intersection point of each= of the polygons. I think this will work for convex polygons. I don't know what to do about conic sections yet. Thanks. Laurence