4 |
|
/* |
5 |
|
* Routines to compute "ambient" values using Monte Carlo |
6 |
|
* |
7 |
+ |
* Hessian calculations based on "Practical Hessian-Based Error Control |
8 |
+ |
* for Irradiance Caching" by Schwarzhaupt, Wann Jensen, & Jarosz |
9 |
+ |
* from ACM SIGGRAPH Asia 2012 conference proceedings. |
10 |
+ |
* |
11 |
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* Declarations of external symbols in ambient.h |
12 |
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*/ |
13 |
|
|
14 |
|
#include "copyright.h" |
15 |
|
|
16 |
|
#include "ray.h" |
13 |
– |
|
17 |
|
#include "ambient.h" |
15 |
– |
|
18 |
|
#include "random.h" |
19 |
|
|
20 |
+ |
#ifdef NEWAMB |
21 |
|
|
22 |
+ |
extern void SDsquare2disk(double ds[2], double seedx, double seedy); |
23 |
+ |
|
24 |
+ |
typedef struct { |
25 |
+ |
RAY *rp; /* originating ray sample */ |
26 |
+ |
FVECT ux, uy; /* tangent axis unit vectors */ |
27 |
+ |
int ns; /* number of samples per axis */ |
28 |
+ |
COLOR acoef; /* division contribution coefficient */ |
29 |
+ |
struct s_ambsamp { |
30 |
+ |
COLOR v; /* hemisphere sample value */ |
31 |
+ |
float p[3]; /* intersection point */ |
32 |
+ |
} sa[1]; /* sample array (extends struct) */ |
33 |
+ |
} AMBHEMI; /* ambient sample hemisphere */ |
34 |
+ |
|
35 |
+ |
#define ambsamp(h,i,j) (h)->sa[(i)*(h)->ns + (j)] |
36 |
+ |
|
37 |
+ |
typedef struct { |
38 |
+ |
FVECT r_i, r_i1, e_i; |
39 |
+ |
double nf, I1, I2, J2; |
40 |
+ |
} FFTRI; /* vectors and coefficients for Hessian calculation */ |
41 |
+ |
|
42 |
+ |
|
43 |
+ |
static AMBHEMI * |
44 |
+ |
inithemi( /* initialize sampling hemisphere */ |
45 |
+ |
COLOR ac, |
46 |
+ |
RAY *r, |
47 |
+ |
double wt |
48 |
+ |
) |
49 |
+ |
{ |
50 |
+ |
AMBHEMI *hp; |
51 |
+ |
double d; |
52 |
+ |
int n, i; |
53 |
+ |
/* set number of divisions */ |
54 |
+ |
if (ambacc <= FTINY && |
55 |
+ |
wt > (d = 0.8*intens(ac)*r->rweight/(ambdiv*minweight))) |
56 |
+ |
wt = d; /* avoid ray termination */ |
57 |
+ |
n = sqrt(ambdiv * wt) + 0.5; |
58 |
+ |
i = 1 + 5*(ambacc > FTINY); /* minimum number of samples */ |
59 |
+ |
if (n < i) |
60 |
+ |
n = i; |
61 |
+ |
/* allocate sampling array */ |
62 |
+ |
hp = (AMBHEMI *)malloc(sizeof(AMBHEMI) + |
63 |
+ |
sizeof(struct s_ambsamp)*(n*n - 1)); |
64 |
+ |
if (hp == NULL) |
65 |
+ |
return(NULL); |
66 |
+ |
hp->rp = r; |
67 |
+ |
hp->ns = n; |
68 |
+ |
/* assign coefficient */ |
69 |
+ |
copycolor(hp->acoef, ac); |
70 |
+ |
d = 1.0/(n*n); |
71 |
+ |
scalecolor(hp->acoef, d); |
72 |
+ |
/* make tangent axes */ |
73 |
+ |
hp->uy[0] = hp->uy[1] = hp->uy[2] = 0.0; |
74 |
+ |
for (i = 0; i < 3; i++) |
75 |
+ |
if (r->ron[i] < 0.6 && r->ron[i] > -0.6) |
76 |
+ |
break; |
77 |
+ |
if (i >= 3) |
78 |
+ |
error(CONSISTENCY, "bad ray direction in inithemi()"); |
79 |
+ |
hp->uy[i] = 1.0; |
80 |
+ |
VCROSS(hp->ux, hp->uy, r->ron); |
81 |
+ |
normalize(hp->ux); |
82 |
+ |
VCROSS(hp->uy, r->ron, hp->ux); |
83 |
+ |
/* we're ready to sample */ |
84 |
+ |
return(hp); |
85 |
+ |
} |
86 |
+ |
|
87 |
+ |
|
88 |
+ |
static int |
89 |
+ |
ambsample( /* sample an ambient direction */ |
90 |
+ |
AMBHEMI *hp, |
91 |
+ |
int i, |
92 |
+ |
int j |
93 |
+ |
) |
94 |
+ |
{ |
95 |
+ |
struct s_ambsamp *ap = &ambsamp(hp,i,j); |
96 |
+ |
RAY ar; |
97 |
+ |
int hlist[3]; |
98 |
+ |
double spt[2], zd; |
99 |
+ |
int ii; |
100 |
+ |
/* ambient coefficient for weight */ |
101 |
+ |
if (ambacc > FTINY) |
102 |
+ |
setcolor(ar.rcoef, AVGREFL, AVGREFL, AVGREFL); |
103 |
+ |
else |
104 |
+ |
copycolor(ar.rcoef, hp->acoef); |
105 |
+ |
if (rayorigin(&ar, AMBIENT, hp->rp, ar.rcoef) < 0) { |
106 |
+ |
setcolor(ap->v, 0., 0., 0.); |
107 |
+ |
VCOPY(ap->p, hp->rp->rop); |
108 |
+ |
return(0); /* no sample taken */ |
109 |
+ |
} |
110 |
+ |
if (ambacc > FTINY) { |
111 |
+ |
multcolor(ar.rcoef, hp->acoef); |
112 |
+ |
scalecolor(ar.rcoef, 1./AVGREFL); |
113 |
+ |
} |
114 |
+ |
/* generate hemispherical sample */ |
115 |
+ |
SDsquare2disk(spt, (i+.1+.8*frandom())/hp->ns, |
116 |
+ |
(j+.1+.8*frandom())/hp->ns); |
117 |
+ |
zd = sqrt(1. - spt[0]*spt[0] - spt[1]*spt[1]); |
118 |
+ |
for (ii = 3; ii--; ) |
119 |
+ |
ar.rdir[ii] = spt[0]*hp->ux[ii] + |
120 |
+ |
spt[1]*hp->uy[ii] + |
121 |
+ |
zd*hp->rp->ron[ii]; |
122 |
+ |
checknorm(ar.rdir); |
123 |
+ |
dimlist[ndims++] = i*hp->ns + j + 90171; |
124 |
+ |
rayvalue(&ar); /* evaluate ray */ |
125 |
+ |
ndims--; |
126 |
+ |
multcolor(ar.rcol, ar.rcoef); /* apply coefficient */ |
127 |
+ |
copycolor(ap->v, ar.rcol); |
128 |
+ |
if (ar.rt > 20.0*maxarad) /* limit vertex distance */ |
129 |
+ |
ar.rt = 20.0*maxarad; |
130 |
+ |
VSUM(ap->p, ar.rorg, ar.rdir, ar.rt); |
131 |
+ |
return(1); |
132 |
+ |
} |
133 |
+ |
|
134 |
+ |
|
135 |
+ |
/* Compute vectors and coefficients for Hessian/gradient calcs */ |
136 |
+ |
static void |
137 |
+ |
comp_fftri(FFTRI *ftp, float ap0[3], float ap1[3], FVECT rop) |
138 |
+ |
{ |
139 |
+ |
FVECT v1; |
140 |
+ |
double dot_e, dot_er, dot_r, dot_r1; |
141 |
+ |
|
142 |
+ |
VSUB(ftp->r_i, ap0, rop); |
143 |
+ |
VSUB(ftp->r_i1, ap1, rop); |
144 |
+ |
VSUB(ftp->e_i, ap1, ap0); |
145 |
+ |
VCROSS(v1, ftp->e_i, ftp->r_i); |
146 |
+ |
ftp->nf = 1.0/DOT(v1,v1); |
147 |
+ |
VCROSS(v1, ftp->r_i, ftp->r_i1); |
148 |
+ |
ftp->I1 = sqrt(DOT(v1,v1)*ftp->nf); |
149 |
+ |
dot_e = DOT(ftp->e_i,ftp->e_i); |
150 |
+ |
dot_er = DOT(ftp->e_i, ftp->r_i); |
151 |
+ |
dot_r = DOT(ftp->r_i,ftp->r_i); |
152 |
+ |
dot_r1 = DOT(ftp->r_i1,ftp->r_i1); |
153 |
+ |
ftp->I2 = ( DOT(ftp->e_i, ftp->r_i1)/dot_r1 - dot_er/dot_r + |
154 |
+ |
dot_e*ftp->I1 )*0.5*ftp->nf; |
155 |
+ |
ftp->J2 = 0.25*ftp->nf*( 1.0/dot_r - 1.0/dot_r1 ) - |
156 |
+ |
dot_er/dot_e*ftp->I2; |
157 |
+ |
} |
158 |
+ |
|
159 |
+ |
|
160 |
+ |
/* Compose matrix from two vectors */ |
161 |
+ |
static void |
162 |
+ |
compose_matrix(FVECT mat[3], FVECT va, FVECT vb) |
163 |
+ |
{ |
164 |
+ |
mat[0][0] = 2.0*va[0]*vb[0]; |
165 |
+ |
mat[1][1] = 2.0*va[1]*vb[1]; |
166 |
+ |
mat[2][2] = 2.0*va[2]*vb[2]; |
167 |
+ |
mat[0][1] = mat[1][0] = va[0]*vb[1] + va[1]*vb[0]; |
168 |
+ |
mat[0][2] = mat[2][0] = va[0]*vb[2] + va[2]*vb[0]; |
169 |
+ |
mat[1][2] = mat[2][1] = va[1]*vb[2] + va[2]*vb[1]; |
170 |
+ |
} |
171 |
+ |
|
172 |
+ |
|
173 |
+ |
/* Compute partial 3x3 Hessian matrix for edge */ |
174 |
+ |
static void |
175 |
+ |
comp_hessian(FVECT hess[3], FFTRI *ftp, FVECT nrm) |
176 |
+ |
{ |
177 |
+ |
FVECT v1, v2; |
178 |
+ |
FVECT m1[3], m2[3], m3[3], m4[3]; |
179 |
+ |
double d1, d2, d3, d4; |
180 |
+ |
double I3, J3, K3; |
181 |
+ |
int i, j; |
182 |
+ |
/* compute intermediate coefficients */ |
183 |
+ |
d1 = 1.0/DOT(ftp->r_i,ftp->r_i); |
184 |
+ |
d2 = 1.0/DOT(ftp->r_i1,ftp->r_i1); |
185 |
+ |
d3 = 1.0/DOT(ftp->e_i,ftp->e_i); |
186 |
+ |
d4 = DOT(ftp->e_i, ftp->r_i); |
187 |
+ |
I3 = 0.25*ftp->nf*( DOT(ftp->e_i, ftp->r_i1)*d2*d2 - d4*d1*d1 + |
188 |
+ |
3.0*ftp->I2*d3 ); |
189 |
+ |
J3 = 0.25*d3*(d1*d1 - d2*d2) - d4*d3*I3; |
190 |
+ |
K3 = d3*(ftp->I2 - I3/d1 - 2.0*d4*J3); |
191 |
+ |
/* intermediate matrices */ |
192 |
+ |
VCROSS(v1, nrm, ftp->e_i); |
193 |
+ |
for (j = 3; j--; ) |
194 |
+ |
v2[i] = ftp->I2*ftp->r_i[j] + ftp->J2*ftp->e_i[j]; |
195 |
+ |
compose_matrix(m1, v1, v2); |
196 |
+ |
compose_matrix(m2, ftp->r_i, ftp->r_i); |
197 |
+ |
compose_matrix(m3, ftp->e_i, ftp->e_i); |
198 |
+ |
compose_matrix(m4, ftp->r_i, ftp->e_i); |
199 |
+ |
VCROSS(v1, ftp->r_i, ftp->e_i); |
200 |
+ |
d1 = DOT(nrm, v1); |
201 |
+ |
d2 = -d1*ftp->I2; |
202 |
+ |
d1 *= 2.0; |
203 |
+ |
for (i = 3; i--; ) /* final matrix sum */ |
204 |
+ |
for (j = 3; j--; ) { |
205 |
+ |
hess[i][j] = m1[i][j] + d1*( I3*m2[i][j] + K3*m3[i][j] + |
206 |
+ |
2.0*J3*m4[i][j] ); |
207 |
+ |
hess[i][j] += d2*(i==j); |
208 |
+ |
hess[i][j] *= -1.0/PI; |
209 |
+ |
} |
210 |
+ |
} |
211 |
+ |
|
212 |
+ |
|
213 |
+ |
/* Reverse hessian calculation result for edge in other direction */ |
214 |
+ |
static void |
215 |
+ |
rev_hessian(FVECT hess[3]) |
216 |
+ |
{ |
217 |
+ |
int i; |
218 |
+ |
|
219 |
+ |
for (i = 3; i--; ) { |
220 |
+ |
hess[i][0] = -hess[i][0]; |
221 |
+ |
hess[i][1] = -hess[i][1]; |
222 |
+ |
hess[i][2] = -hess[i][2]; |
223 |
+ |
} |
224 |
+ |
} |
225 |
+ |
|
226 |
+ |
|
227 |
+ |
/* Add to radiometric Hessian from the given triangle */ |
228 |
+ |
static void |
229 |
+ |
add2hessian(FVECT hess[3], FVECT ehess1[3], |
230 |
+ |
FVECT ehess2[3], FVECT ehess3[3], COLORV v) |
231 |
+ |
{ |
232 |
+ |
int i, j; |
233 |
+ |
|
234 |
+ |
for (i = 3; i--; ) |
235 |
+ |
for (j = 3; j--; ) |
236 |
+ |
hess[i][j] += v*( ehess1[i][j] + ehess2[i][j] + ehess3[i][j] ); |
237 |
+ |
} |
238 |
+ |
|
239 |
+ |
|
240 |
+ |
/* Compute partial displacement form factor gradient for edge */ |
241 |
+ |
static void |
242 |
+ |
comp_gradient(FVECT grad, FFTRI *ftp, FVECT nrm) |
243 |
+ |
{ |
244 |
+ |
FVECT vcp; |
245 |
+ |
double f1; |
246 |
+ |
int i; |
247 |
+ |
|
248 |
+ |
VCROSS(vcp, ftp->r_i, ftp->r_i1); |
249 |
+ |
f1 = 2.0*DOT(nrm, vcp); |
250 |
+ |
VCROSS(vcp, nrm, ftp->e_i); |
251 |
+ |
for (i = 3; i--; ) |
252 |
+ |
grad[i] = (0.5/PI)*( ftp->I1*vcp[i] + |
253 |
+ |
f1*(ftp->I2*ftp->r_i[i] + ftp->J2*ftp->e_i[i]) ); |
254 |
+ |
} |
255 |
+ |
|
256 |
+ |
|
257 |
+ |
/* Reverse gradient calculation result for edge in other direction */ |
258 |
+ |
static void |
259 |
+ |
rev_gradient(FVECT grad) |
260 |
+ |
{ |
261 |
+ |
grad[0] = -grad[0]; |
262 |
+ |
grad[1] = -grad[1]; |
263 |
+ |
grad[2] = -grad[2]; |
264 |
+ |
} |
265 |
+ |
|
266 |
+ |
|
267 |
+ |
/* Add to displacement gradient from the given triangle */ |
268 |
+ |
static void |
269 |
+ |
add2gradient(FVECT grad, FVECT egrad1, FVECT egrad2, FVECT egrad3, COLORV v) |
270 |
+ |
{ |
271 |
+ |
int i; |
272 |
+ |
|
273 |
+ |
for (i = 3; i--; ) |
274 |
+ |
grad[i] += v*( egrad1[i] + egrad2[i] + egrad3[i] ); |
275 |
+ |
} |
276 |
+ |
|
277 |
+ |
|
278 |
+ |
/* Return brightness of furthest ambient sample */ |
279 |
+ |
static COLORV |
280 |
+ |
back_ambval(struct s_ambsamp *ap1, struct s_ambsamp *ap2, |
281 |
+ |
struct s_ambsamp *ap3, FVECT orig) |
282 |
+ |
{ |
283 |
+ |
COLORV vback; |
284 |
+ |
FVECT vec; |
285 |
+ |
double d2, d2best; |
286 |
+ |
|
287 |
+ |
VSUB(vec, ap1->p, orig); |
288 |
+ |
d2best = DOT(vec,vec); |
289 |
+ |
vback = ap1->v[CIEY]; |
290 |
+ |
VSUB(vec, ap2->p, orig); |
291 |
+ |
d2 = DOT(vec,vec); |
292 |
+ |
if (d2 > d2best) { |
293 |
+ |
d2best = d2; |
294 |
+ |
vback = ap2->v[CIEY]; |
295 |
+ |
} |
296 |
+ |
VSUB(vec, ap3->p, orig); |
297 |
+ |
d2 = DOT(vec,vec); |
298 |
+ |
if (d2 > d2best) |
299 |
+ |
return(ap3->v[CIEY]); |
300 |
+ |
return(vback); |
301 |
+ |
} |
302 |
+ |
|
303 |
+ |
|
304 |
+ |
/* Compute anisotropic radii and eigenvector directions */ |
305 |
+ |
static int |
306 |
+ |
eigenvectors(FVECT uv[2], float ra[2], FVECT hessian[3]) |
307 |
+ |
{ |
308 |
+ |
double hess2[2][2]; |
309 |
+ |
FVECT a, b; |
310 |
+ |
double evalue[2], slope1, xmag1; |
311 |
+ |
int i; |
312 |
+ |
/* project Hessian to sample plane */ |
313 |
+ |
for (i = 3; i--; ) { |
314 |
+ |
a[i] = DOT(hessian[i], uv[0]); |
315 |
+ |
b[i] = DOT(hessian[i], uv[1]); |
316 |
+ |
} |
317 |
+ |
hess2[0][0] = DOT(uv[0], a); |
318 |
+ |
hess2[0][1] = DOT(uv[0], b); |
319 |
+ |
hess2[1][0] = DOT(uv[1], a); |
320 |
+ |
hess2[1][1] = DOT(uv[1], b); |
321 |
+ |
/* compute eigenvalues */ |
322 |
+ |
if (quadratic(evalue, 1.0, -hess2[0][0]-hess2[1][1], |
323 |
+ |
hess2[0][0]*hess2[1][1]-hess2[0][1]*hess2[1][0]) != 2 || |
324 |
+ |
(evalue[0] = fabs(evalue[0])) <= FTINY*FTINY*FTINY || |
325 |
+ |
(evalue[1] = fabs(evalue[1])) <= FTINY*FTINY*FTINY) |
326 |
+ |
error(INTERNAL, "bad eigenvalue calculation"); |
327 |
+ |
|
328 |
+ |
if (evalue[0] > evalue[1]) { |
329 |
+ |
ra[0] = 1.0/sqrt(sqrt(evalue[0])); |
330 |
+ |
ra[1] = 1.0/sqrt(sqrt(evalue[1])); |
331 |
+ |
slope1 = evalue[1]; |
332 |
+ |
} else { |
333 |
+ |
ra[0] = 1.0/sqrt(sqrt(evalue[1])); |
334 |
+ |
ra[1] = 1.0/sqrt(sqrt(evalue[0])); |
335 |
+ |
slope1 = evalue[0]; |
336 |
+ |
} |
337 |
+ |
/* compute unit eigenvectors */ |
338 |
+ |
if (fabs(hess2[0][1]) <= FTINY) |
339 |
+ |
return; /* uv OK as is */ |
340 |
+ |
slope1 = (slope1 - hess2[0][0]) / hess2[0][1]; |
341 |
+ |
xmag1 = sqrt(1.0/(1.0 + slope1*slope1)); |
342 |
+ |
for (i = 3; i--; ) { |
343 |
+ |
b[i] = xmag1*uv[0][i] + slope1*xmag1*uv[1][i]; |
344 |
+ |
a[i] = slope1*xmag1*uv[0][i] - xmag1*uv[1][i]; |
345 |
+ |
} |
346 |
+ |
VCOPY(uv[0], a); |
347 |
+ |
VCOPY(uv[1], b); |
348 |
+ |
} |
349 |
+ |
|
350 |
+ |
|
351 |
+ |
static void |
352 |
+ |
ambHessian( /* anisotropic radii & pos. gradient */ |
353 |
+ |
AMBHEMI *hp, |
354 |
+ |
FVECT uv[2], /* returned */ |
355 |
+ |
float ra[2], /* returned */ |
356 |
+ |
float pg[2] /* returned */ |
357 |
+ |
) |
358 |
+ |
{ |
359 |
+ |
static char memerrmsg[] = "out of memory in ambHessian()"; |
360 |
+ |
FVECT (*hessrow)[3] = NULL; |
361 |
+ |
FVECT *gradrow = NULL; |
362 |
+ |
FVECT hessian[3]; |
363 |
+ |
FVECT gradient; |
364 |
+ |
FFTRI fftr; |
365 |
+ |
int i, j; |
366 |
+ |
/* be sure to assign unit vectors */ |
367 |
+ |
VCOPY(uv[0], hp->ux); |
368 |
+ |
VCOPY(uv[1], hp->uy); |
369 |
+ |
/* clock-wise vertex traversal from sample POV */ |
370 |
+ |
if (ra != NULL) { /* initialize Hessian row buffer */ |
371 |
+ |
hessrow = (FVECT (*)[3])malloc(sizeof(FVECT)*3*hp->ns); |
372 |
+ |
if (hessrow == NULL) |
373 |
+ |
error(SYSTEM, memerrmsg); |
374 |
+ |
memset(hessian, 0, sizeof(hessian)); |
375 |
+ |
} else if (pg == NULL) /* bogus call? */ |
376 |
+ |
return; |
377 |
+ |
if (pg != NULL) { /* initialize form factor row buffer */ |
378 |
+ |
gradrow = (FVECT *)malloc(sizeof(FVECT)*hp->ns); |
379 |
+ |
if (gradrow == NULL) |
380 |
+ |
error(SYSTEM, memerrmsg); |
381 |
+ |
memset(gradient, 0, sizeof(gradient)); |
382 |
+ |
} |
383 |
+ |
/* compute first row of edges */ |
384 |
+ |
for (j = 0; j < hp->ns-1; j++) { |
385 |
+ |
comp_fftri(&fftr, ambsamp(hp,0,j).p, |
386 |
+ |
ambsamp(hp,0,j+1).p, hp->rp->rop); |
387 |
+ |
if (hessrow != NULL) |
388 |
+ |
comp_hessian(hessrow[j], &fftr, hp->rp->ron); |
389 |
+ |
if (gradrow != NULL) |
390 |
+ |
comp_gradient(gradrow[j], &fftr, hp->rp->ron); |
391 |
+ |
} |
392 |
+ |
/* sum each row of triangles */ |
393 |
+ |
for (i = 0; i < hp->ns-1; i++) { |
394 |
+ |
FVECT hesscol[3]; /* compute first vertical edge */ |
395 |
+ |
FVECT gradcol; |
396 |
+ |
comp_fftri(&fftr, ambsamp(hp,i,0).p, |
397 |
+ |
ambsamp(hp,i+1,0).p, hp->rp->rop); |
398 |
+ |
if (hessrow != NULL) |
399 |
+ |
comp_hessian(hesscol, &fftr, hp->rp->ron); |
400 |
+ |
if (gradrow != NULL) |
401 |
+ |
comp_gradient(gradcol, &fftr, hp->rp->ron); |
402 |
+ |
for (j = 0; j < hp->ns-1; j++) { |
403 |
+ |
FVECT hessdia[3]; /* compute triangle contributions */ |
404 |
+ |
FVECT graddia; |
405 |
+ |
COLORV backg; |
406 |
+ |
backg = back_ambval(&ambsamp(hp,i,j), &ambsamp(hp,i,j+1), |
407 |
+ |
&ambsamp(hp,i+1,j), hp->rp->rop); |
408 |
+ |
/* diagonal (inner) edge */ |
409 |
+ |
comp_fftri(&fftr, ambsamp(hp,i,j+1).p, |
410 |
+ |
ambsamp(hp,i+1,j).p, hp->rp->rop); |
411 |
+ |
if (hessrow != NULL) { |
412 |
+ |
comp_hessian(hessdia, &fftr, hp->rp->ron); |
413 |
+ |
rev_hessian(hesscol); |
414 |
+ |
add2hessian(hessian, hessrow[j], hessdia, hesscol, backg); |
415 |
+ |
} |
416 |
+ |
if (gradient != NULL) { |
417 |
+ |
comp_gradient(graddia, &fftr, hp->rp->ron); |
418 |
+ |
rev_gradient(gradcol); |
419 |
+ |
add2gradient(gradient, gradrow[j], graddia, gradcol, backg); |
420 |
+ |
} |
421 |
+ |
/* initialize edge in next row */ |
422 |
+ |
comp_fftri(&fftr, ambsamp(hp,i+1,j+1).p, |
423 |
+ |
ambsamp(hp,i+1,j).p, hp->rp->rop); |
424 |
+ |
if (hessrow != NULL) |
425 |
+ |
comp_hessian(hessrow[j], &fftr, hp->rp->ron); |
426 |
+ |
if (gradrow != NULL) |
427 |
+ |
comp_gradient(gradrow[j], &fftr, hp->rp->ron); |
428 |
+ |
/* new column edge & paired triangle */ |
429 |
+ |
backg = back_ambval(&ambsamp(hp,i,j+1), &ambsamp(hp,i+1,j+1), |
430 |
+ |
&ambsamp(hp,i+1,j), hp->rp->rop); |
431 |
+ |
comp_fftri(&fftr, ambsamp(hp,i,j+1).p, ambsamp(hp,i+1,j+1).p, |
432 |
+ |
hp->rp->rop); |
433 |
+ |
if (hessrow != NULL) { |
434 |
+ |
comp_hessian(hesscol, &fftr, hp->rp->ron); |
435 |
+ |
rev_hessian(hessdia); |
436 |
+ |
add2hessian(hessian, hessrow[j], hessdia, hesscol, backg); |
437 |
+ |
if (i < hp->ns-2) |
438 |
+ |
rev_hessian(hessrow[j]); |
439 |
+ |
} |
440 |
+ |
if (gradrow != NULL) { |
441 |
+ |
comp_gradient(gradcol, &fftr, hp->rp->ron); |
442 |
+ |
rev_gradient(graddia); |
443 |
+ |
add2gradient(gradient, gradrow[j], graddia, gradcol, backg); |
444 |
+ |
if (i < hp->ns-2) |
445 |
+ |
rev_gradient(gradrow[j]); |
446 |
+ |
} |
447 |
+ |
} |
448 |
+ |
} |
449 |
+ |
/* release row buffers */ |
450 |
+ |
if (hessrow != NULL) free(hessrow); |
451 |
+ |
if (gradrow != NULL) free(gradrow); |
452 |
+ |
|
453 |
+ |
if (ra != NULL) /* extract eigenvectors & radii */ |
454 |
+ |
eigenvectors(uv, ra, hessian); |
455 |
+ |
if (pg != NULL) { /* project position gradient */ |
456 |
+ |
pg[0] = DOT(gradient, uv[0]); |
457 |
+ |
pg[1] = DOT(gradient, uv[1]); |
458 |
+ |
} |
459 |
+ |
} |
460 |
+ |
|
461 |
+ |
|
462 |
+ |
/* Compute direction gradient from a hemispherical sampling */ |
463 |
+ |
static void |
464 |
+ |
ambdirgrad(AMBHEMI *hp, FVECT uv[2], float dg[2]) |
465 |
+ |
{ |
466 |
+ |
struct s_ambsamp *ap; |
467 |
+ |
int n; |
468 |
+ |
|
469 |
+ |
dg[0] = dg[1] = 0; |
470 |
+ |
for (ap = hp->sa, n = hp->ns*hp->ns; n--; ap++) { |
471 |
+ |
FVECT vd; |
472 |
+ |
double gfact; |
473 |
+ |
/* use vector for azimuth + 90deg */ |
474 |
+ |
VSUB(vd, ap->p, hp->rp->rop); |
475 |
+ |
/* brightness with tangent factor */ |
476 |
+ |
gfact = ap->v[CIEY] / DOT(hp->rp->ron, vd); |
477 |
+ |
/* sine = proj_radius/vd_length */ |
478 |
+ |
dg[0] -= DOT(uv[1], vd) * gfact ; |
479 |
+ |
dg[1] += DOT(uv[0], vd) * gfact; |
480 |
+ |
} |
481 |
+ |
} |
482 |
+ |
|
483 |
+ |
|
484 |
+ |
int |
485 |
+ |
doambient( /* compute ambient component */ |
486 |
+ |
COLOR rcol, /* input/output color */ |
487 |
+ |
RAY *r, |
488 |
+ |
double wt, |
489 |
+ |
FVECT uv[2], /* returned (optional) */ |
490 |
+ |
float ra[2], /* returned (optional) */ |
491 |
+ |
float pg[2], /* returned (optional) */ |
492 |
+ |
float dg[2] /* returned (optional) */ |
493 |
+ |
) |
494 |
+ |
{ |
495 |
+ |
int cnt = 0; |
496 |
+ |
FVECT my_uv[2]; |
497 |
+ |
AMBHEMI *hp; |
498 |
+ |
double d, acol[3]; |
499 |
+ |
struct s_ambsamp *ap; |
500 |
+ |
int i, j; |
501 |
+ |
/* initialize */ |
502 |
+ |
if ((hp = inithemi(rcol, r, wt)) == NULL) |
503 |
+ |
return(0); |
504 |
+ |
if (uv != NULL) |
505 |
+ |
memset(uv, 0, sizeof(FVECT)*2); |
506 |
+ |
if (ra != NULL) |
507 |
+ |
ra[0] = ra[1] = 0.0; |
508 |
+ |
if (pg != NULL) |
509 |
+ |
pg[0] = pg[1] = 0.0; |
510 |
+ |
if (dg != NULL) |
511 |
+ |
dg[0] = dg[1] = 0.0; |
512 |
+ |
/* sample the hemisphere */ |
513 |
+ |
acol[0] = acol[1] = acol[2] = 0.0; |
514 |
+ |
for (i = hp->ns; i--; ) |
515 |
+ |
for (j = hp->ns; j--; ) |
516 |
+ |
if (ambsample(hp, i, j)) { |
517 |
+ |
ap = &ambsamp(hp,i,j); |
518 |
+ |
addcolor(acol, ap->v); |
519 |
+ |
++cnt; |
520 |
+ |
} |
521 |
+ |
if (!cnt) { |
522 |
+ |
setcolor(rcol, 0.0, 0.0, 0.0); |
523 |
+ |
free(hp); |
524 |
+ |
return(0); /* no valid samples */ |
525 |
+ |
} |
526 |
+ |
d = 1.0 / cnt; /* final indirect irradiance/PI */ |
527 |
+ |
acol[0] *= d; acol[1] *= d; acol[2] *= d; |
528 |
+ |
copycolor(rcol, acol); |
529 |
+ |
if (cnt < hp->ns*hp->ns || /* incomplete sampling? */ |
530 |
+ |
(ra == NULL) & (pg == NULL) & (dg == NULL)) { |
531 |
+ |
free(hp); |
532 |
+ |
return(-1); /* no radius or gradient calc. */ |
533 |
+ |
} |
534 |
+ |
d = 0.01 * bright(rcol); /* add in 1% before Hessian comp. */ |
535 |
+ |
if (d < FTINY) d = FTINY; |
536 |
+ |
ap = hp->sa; /* using Y channel from here on... */ |
537 |
+ |
for (i = hp->ns*hp->ns; i--; ap++) |
538 |
+ |
colval(ap->v,CIEY) = bright(ap->v) + d; |
539 |
+ |
|
540 |
+ |
if (uv == NULL) /* make sure we have axis pointers */ |
541 |
+ |
uv = my_uv; |
542 |
+ |
/* compute radii & pos. gradient */ |
543 |
+ |
ambHessian(hp, uv, ra, pg); |
544 |
+ |
if (dg != NULL) /* compute direction gradient */ |
545 |
+ |
ambdirgrad(hp, uv, dg); |
546 |
+ |
if (ra != NULL) { /* adjust/clamp radii */ |
547 |
+ |
d = sqrt(sqrt((4.0/PI)*bright(rcol)/wt)); |
548 |
+ |
if ((ra[0] *= d) > maxarad) |
549 |
+ |
ra[0] = maxarad; |
550 |
+ |
if ((ra[1] *= d) > 2.0*ra[0]) |
551 |
+ |
ra[1] = 2.0*ra[0]; |
552 |
+ |
} |
553 |
+ |
free(hp); /* clean up and return */ |
554 |
+ |
return(1); |
555 |
+ |
} |
556 |
+ |
|
557 |
+ |
|
558 |
+ |
#else /* ! NEWAMB */ |
559 |
+ |
|
560 |
+ |
|
561 |
|
void |
562 |
|
inithemi( /* initialize sampling hemisphere */ |
563 |
|
AMBHEMI *hp, |
976 |
|
for (i = 0; i < 3; i++) |
977 |
|
gv[i] = xd*hp->ux[i] + yd*hp->uy[i]; |
978 |
|
} |
979 |
+ |
|
980 |
+ |
#endif /* ! NEWAMB */ |