#ifndef lint static const char RCSid[] = "$Id: o_mesh.c,v 2.10 2004/03/30 16:13:01 schorsch Exp $"; #endif /* * Routines for computing ray intersections with meshes. * * Intersection with a triangle mesh is based on Segura and Feito's * WSCG 2001 paper, "Algorithms to Test Ray-Triangle Intersection, * Comparative Study." This method avoids additional storage * requirements, floating divides, and allows some savings by * caching ray-edge comparisons that are otherwise repeated locally * in typical mesh geometries. (This is our own optimization.) * * The code herein is quite similar to that in o_instance.c, the * chief differences being the custom triangle intersection routines * and the fact that an "OBJECT" in the mesh octree is not an index * into the Radiance OBJREC list, but a mesh triangle index. We still * utilize the standard octree traversal code by setting the hitf * function pointer in the RAY struct to our custom mesh_hit() call. */ #include "copyright.h" #include #include "ray.h" #include "mesh.h" #include "tmesh.h" #include "rtotypes.h" #define EDGE_CACHE_SIZ 251 /* length of mesh edge cache */ #define curmi (edge_cache.mi) #define curmsh (curmi->msh) /* Cache of signed volumes for this ray and this mesh */ struct EdgeCache { OBJREC *o; /* mesh object */ MESHINST *mi; /* current mesh instance */ struct EdgeSide { int32 v1i, v2i; /* vertex indices (lowest first) */ short signum; /* signed volume */ } cache[EDGE_CACHE_SIZ]; } edge_cache; static void prep_edge_cache(o) /* get instance and clear edge cache */ OBJREC *o; { /* get mesh instance */ edge_cache.mi = getmeshinst(edge_cache.o = o, IO_ALL); /* clear edge cache */ memset((void *)edge_cache.cache, '\0', sizeof(edge_cache.cache)); } static int signed_volume(r, v1, v2) /* get signed volume for ray and edge */ register RAY *r; int32 v1, v2; { int reversed = 0; register struct EdgeSide *ecp; if (v1 > v2) { int32 t = v2; v2 = v1; v1 = t; reversed = 1; } ecp = &edge_cache.cache[((v2<<11 ^ v1) & 0x7fffffff) % EDGE_CACHE_SIZ]; if (ecp->v1i != v1 || ecp->v2i != v2) { MESHVERT tv1, tv2; /* compute signed volume */ FVECT v2d; double vol; if (!getmeshvert(&tv1, edge_cache.mi->msh, v1, MT_V) || !getmeshvert(&tv2, edge_cache.mi->msh, v2, MT_V)) objerror(edge_cache.o, INTERNAL, "missing mesh vertex in signed_volume"); VSUB(v2d, tv2.v, r->rorg); vol = (tv1.v[0] - r->rorg[0]) * (v2d[1]*r->rdir[2] - v2d[2]*r->rdir[1]); vol += (tv1.v[1] - r->rorg[1]) * (v2d[2]*r->rdir[0] - v2d[0]*r->rdir[2]); vol += (tv1.v[2] - r->rorg[2]) * (v2d[0]*r->rdir[1] - v2d[1]*r->rdir[0]); if (vol > .0) ecp->signum = 1; else if (vol < .0) ecp->signum = -1; else ecp->signum = 0; ecp->v1i = v1; ecp->v2i = v2; } return(reversed ? -ecp->signum : ecp->signum); } static void mesh_hit(oset, r) /* intersect ray with mesh triangle(s) */ OBJECT *oset; RAY *r; { int32 tvi[3]; int sv1, sv2, sv3; MESHVERT tv[3]; OBJECT tmod; FVECT va, vb, nrm; double d; int i; /* check each triangle */ for (i = oset[0]; i > 0; i--) { if (!getmeshtrivid(tvi, &tmod, curmsh, oset[i])) objerror(edge_cache.o, INTERNAL, "missing triangle vertices in mesh_hit"); sv1 = signed_volume(r, tvi[0], tvi[1]); sv2 = signed_volume(r, tvi[1], tvi[2]); sv3 = signed_volume(r, tvi[2], tvi[0]); if (sv1 != sv2 || sv2 != sv3) /* compare volume signs */ if (sv1 && sv2 && sv3) continue; /* compute intersection */ getmeshvert(&tv[0], curmsh, tvi[0], MT_V); getmeshvert(&tv[1], curmsh, tvi[1], MT_V); getmeshvert(&tv[2], curmsh, tvi[2], MT_V); VSUB(va, tv[0].v, tv[2].v); VSUB(vb, tv[1].v, tv[0].v); VCROSS(nrm, va, vb); d = DOT(r->rdir, nrm); if (d == 0.0) continue; /* ray is tangent */ VSUB(va, tv[0].v, r->rorg); d = DOT(va, nrm) / d; if (d <= FTINY || d >= r->rot) continue; /* not good enough */ r->robj = oset[i]; /* else record hit */ r->ro = edge_cache.o; r->rot = d; VSUM(r->rop, r->rorg, r->rdir, d); VCOPY(r->ron, nrm); /* normalize(r->ron) called & r->rod set in o_mesh() */ } } extern int o_mesh( /* compute ray intersection with a mesh */ OBJREC *o, register RAY *r ) { RAY rcont; int flags; MESHVERT tv[3]; OBJECT tmod; RREAL wt[3]; int i; /* get the mesh instance */ prep_edge_cache(o); /* copy and transform ray */ rcont = *r; multp3(rcont.rorg, r->rorg, curmi->x.b.xfm); multv3(rcont.rdir, r->rdir, curmi->x.b.xfm); for (i = 0; i < 3; i++) rcont.rdir[i] /= curmi->x.b.sca; rcont.rmax *= curmi->x.b.sca; /* clear and trace ray */ rayclear(&rcont); rcont.hitf = mesh_hit; if (!localhit(&rcont, &curmi->msh->mcube)) return(0); /* missed */ if (rcont.rot * curmi->x.f.sca >= r->rot) return(0); /* not close enough */ /* transform ray back */ r->rot = rcont.rot * curmi->x.f.sca; multp3(r->rop, rcont.rop, curmi->x.f.xfm); multv3(r->ron, rcont.ron, curmi->x.f.xfm); normalize(r->ron); r->rod = -DOT(r->rdir, r->ron); /* get triangle */ flags = getmeshtri(tv, &tmod, curmsh, rcont.robj, MT_ALL); if (!(flags & MT_V)) objerror(o, INTERNAL, "missing mesh vertices in o_mesh"); r->robj = objndx(o); /* set object and material */ if (o->omod == OVOID && tmod != OVOID) { r->ro = getmeshpseudo(curmsh, tmod); r->rox = &curmi->x; } else r->ro = o; /* compute barycentric weights */ if (flags & (MT_N|MT_UV)) if (get_baryc(wt, rcont.rop, tv[0].v, tv[1].v, tv[2].v) < 0) { objerror(o, WARNING, "bad triangle in o_mesh"); flags &= ~(MT_N|MT_UV); } if (flags & MT_N) { /* interpolate normal */ for (i = 0; i < 3; i++) rcont.pert[i] = wt[0]*tv[0].n[i] + wt[1]*tv[1].n[i] + wt[2]*tv[2].n[i]; multv3(r->pert, rcont.pert, curmi->x.f.xfm); if (normalize(r->pert) != 0.0) for (i = 0; i < 3; i++) r->pert[i] -= r->ron[i]; } else r->pert[0] = r->pert[1] = r->pert[2] = .0; if (flags & MT_UV) /* interpolate uv coordinates */ for (i = 0; i < 2; i++) r->uv[i] = wt[0]*tv[0].uv[i] + wt[1]*tv[1].uv[i] + wt[2]*tv[2].uv[i]; else r->uv[0] = r->uv[1] = .0; /* return hit */ return(1); }