7 |
|
* G. Ward |
8 |
|
*/ |
9 |
|
|
10 |
+ |
/**************************************************************** |
11 |
+ |
1) Collect samples into a grid using the Shirley-Chiu |
12 |
+ |
angular mapping from a hemisphere to a square. |
13 |
+ |
|
14 |
+ |
2) Compute an adaptive quadtree by subdividing the grid so that |
15 |
+ |
each leaf node has at least one sample up to as many |
16 |
+ |
samples as fit nicely on a plane to within a certain |
17 |
+ |
MSE tolerance. |
18 |
+ |
|
19 |
+ |
3) Place one Gaussian lobe at each leaf node in the quadtree, |
20 |
+ |
sizing it to have a radius equal to the leaf size and |
21 |
+ |
a volume equal to the energy in that node. |
22 |
+ |
*****************************************************************/ |
23 |
+ |
|
24 |
|
#define _USE_MATH_DEFINES |
25 |
|
#include <stdio.h> |
26 |
|
#include <stdlib.h> |
29 |
|
#include "bsdfrep.h" |
30 |
|
|
31 |
|
#ifndef RSCA |
32 |
< |
#define RSCA 2.7 /* radius scaling factor (empirical) */ |
32 |
> |
#define RSCA 2.0 /* radius scaling factor (empirical) */ |
33 |
|
#endif |
34 |
< |
/* our loaded grid for this incident angle */ |
34 |
> |
#ifndef SMOOTH_MSE |
35 |
> |
#define SMOOTH_MSE 5e-5 /* acceptable mean squared error */ |
36 |
> |
#endif |
37 |
> |
#ifndef SMOOTH_MSER |
38 |
> |
#define SMOOTH_MSER 0.03 /* acceptable relative MSE */ |
39 |
> |
#endif |
40 |
> |
#define MAX_RAD (GRIDRES/8) /* maximum lobe radius */ |
41 |
> |
|
42 |
> |
#define RBFALLOCB 10 /* RBF allocation block size */ |
43 |
> |
|
44 |
> |
/* loaded grid or comparison DSFs */ |
45 |
|
GRIDVAL dsf_grid[GRIDRES][GRIDRES]; |
46 |
+ |
/* allocated chrominance sums if any */ |
47 |
+ |
float (*spec_grid)[GRIDRES][GRIDRES]; |
48 |
+ |
int nspec_grid = 0; |
49 |
|
|
50 |
+ |
/* Set up visible spectrum sampling */ |
51 |
+ |
void |
52 |
+ |
set_spectral_samples(int nspec) |
53 |
+ |
{ |
54 |
+ |
if (rbf_colorimetry == RBCunknown) { |
55 |
+ |
if (nspec_grid > 0) { |
56 |
+ |
free(spec_grid); |
57 |
+ |
spec_grid = NULL; |
58 |
+ |
nspec_grid = 0; |
59 |
+ |
} |
60 |
+ |
if (nspec == 1) { |
61 |
+ |
rbf_colorimetry = RBCphotopic; |
62 |
+ |
return; |
63 |
+ |
} |
64 |
+ |
if (nspec == 3) { |
65 |
+ |
rbf_colorimetry = RBCtristimulus; |
66 |
+ |
spec_grid = (float (*)[GRIDRES][GRIDRES])calloc( |
67 |
+ |
2*GRIDRES*GRIDRES, sizeof(float) ); |
68 |
+ |
if (spec_grid == NULL) |
69 |
+ |
goto mem_error; |
70 |
+ |
nspec_grid = 2; |
71 |
+ |
return; |
72 |
+ |
} |
73 |
+ |
fprintf(stderr, |
74 |
+ |
"%s: only 1 or 3 spectral samples currently supported\n", |
75 |
+ |
progname); |
76 |
+ |
exit(1); |
77 |
+ |
} |
78 |
+ |
if (nspec != nspec_grid+1) { |
79 |
+ |
fprintf(stderr, |
80 |
+ |
"%s: number of spectral samples cannot be changed\n", |
81 |
+ |
progname); |
82 |
+ |
exit(1); |
83 |
+ |
} |
84 |
+ |
return; |
85 |
+ |
mem_error: |
86 |
+ |
fprintf(stderr, "%s: out of memory in set_spectral_samples()\n", |
87 |
+ |
progname); |
88 |
+ |
exit(1); |
89 |
+ |
} |
90 |
+ |
|
91 |
|
/* Start new DSF input grid */ |
92 |
|
void |
93 |
|
new_bsdf_data(double new_theta, double new_phi) |
95 |
|
if (!new_input_direction(new_theta, new_phi)) |
96 |
|
exit(1); |
97 |
|
memset(dsf_grid, 0, sizeof(dsf_grid)); |
98 |
+ |
if (nspec_grid > 0) |
99 |
+ |
memset(spec_grid, 0, sizeof(float)*GRIDRES*GRIDRES*nspec_grid); |
100 |
|
} |
101 |
|
|
102 |
|
/* Add BSDF data point */ |
103 |
|
void |
104 |
< |
add_bsdf_data(double theta_out, double phi_out, double val, int isDSF) |
104 |
> |
add_bsdf_data(double theta_out, double phi_out, const double val[], int isDSF) |
105 |
|
{ |
106 |
|
FVECT ovec; |
107 |
+ |
double cfact, Yval; |
108 |
|
int pos[2]; |
109 |
|
|
110 |
+ |
if (nspec_grid > 2) { |
111 |
+ |
fprintf(stderr, "%s: unsupported color space\n", progname); |
112 |
+ |
exit(1); |
113 |
+ |
} |
114 |
|
if (!output_orient) /* check output orientation */ |
115 |
|
output_orient = 1 - 2*(theta_out > 90.); |
116 |
|
else if (output_orient > 0 ^ theta_out < 90.) { |
117 |
< |
fputs("Cannot handle output angles on both sides of surface\n", |
118 |
< |
stderr); |
117 |
> |
fprintf(stderr, |
118 |
> |
"%s: cannot handle output angles on both sides of surface\n", |
119 |
> |
progname); |
120 |
|
exit(1); |
121 |
|
} |
122 |
|
ovec[2] = sin((M_PI/180.)*theta_out); |
123 |
|
ovec[0] = cos((M_PI/180.)*phi_out) * ovec[2]; |
124 |
|
ovec[1] = sin((M_PI/180.)*phi_out) * ovec[2]; |
125 |
|
ovec[2] = sqrt(1. - ovec[2]*ovec[2]); |
126 |
+ |
/* BSDF to DSF correction */ |
127 |
+ |
cfact = isDSF ? 1. : ovec[2]; |
128 |
|
|
129 |
< |
if (!isDSF) |
52 |
< |
val *= ovec[2]; /* convert from BSDF to DSF */ |
53 |
< |
|
129 |
> |
Yval = cfact * val[rbf_colorimetry==RBCtristimulus]; |
130 |
|
/* update BSDF histogram */ |
131 |
< |
if (val < BSDF2BIG*ovec[2] && val > BSDF2SML*ovec[2]) |
132 |
< |
++bsdf_hist[histndx(val/ovec[2])]; |
131 |
> |
if (BSDF2SML*ovec[2] < Yval && Yval < BSDF2BIG*ovec[2]) |
132 |
> |
++bsdf_hist[histndx(Yval/ovec[2])]; |
133 |
|
|
134 |
|
pos_from_vec(pos, ovec); |
135 |
|
|
136 |
< |
dsf_grid[pos[0]][pos[1]].vsum += val; |
137 |
< |
dsf_grid[pos[0]][pos[1]].nval++; |
136 |
> |
dsf_grid[pos[0]][pos[1]].sum.v += Yval; |
137 |
> |
dsf_grid[pos[0]][pos[1]].sum.n++; |
138 |
> |
/* add in X and Z values */ |
139 |
> |
if (rbf_colorimetry == RBCtristimulus) { |
140 |
> |
spec_grid[0][pos[0]][pos[1]] += cfact * val[0]; |
141 |
> |
spec_grid[1][pos[0]][pos[1]] += cfact * val[2]; |
142 |
> |
} |
143 |
|
} |
144 |
|
|
145 |
< |
/* Compute radii for non-empty bins */ |
65 |
< |
/* (distance to furthest empty bin for which non-empty bin is the closest) */ |
145 |
> |
/* Compute minimum BSDF from histogram (does not clear) */ |
146 |
|
static void |
67 |
– |
compute_radii(void) |
68 |
– |
{ |
69 |
– |
unsigned int fill_grid[GRIDRES][GRIDRES]; |
70 |
– |
unsigned short fill_cnt[GRIDRES][GRIDRES]; |
71 |
– |
FVECT ovec0, ovec1; |
72 |
– |
double ang2, lastang2; |
73 |
– |
int r, i, j, jn, ii, jj, inear, jnear; |
74 |
– |
|
75 |
– |
r = GRIDRES/2; /* proceed in zig-zag */ |
76 |
– |
for (i = 0; i < GRIDRES; i++) |
77 |
– |
for (jn = 0; jn < GRIDRES; jn++) { |
78 |
– |
j = (i&1) ? jn : GRIDRES-1-jn; |
79 |
– |
if (dsf_grid[i][j].nval) /* find empty grid pos. */ |
80 |
– |
continue; |
81 |
– |
ovec_from_pos(ovec0, i, j); |
82 |
– |
inear = jnear = -1; /* find nearest non-empty */ |
83 |
– |
lastang2 = M_PI*M_PI; |
84 |
– |
for (ii = i-r; ii <= i+r; ii++) { |
85 |
– |
if (ii < 0) continue; |
86 |
– |
if (ii >= GRIDRES) break; |
87 |
– |
for (jj = j-r; jj <= j+r; jj++) { |
88 |
– |
if (jj < 0) continue; |
89 |
– |
if (jj >= GRIDRES) break; |
90 |
– |
if (!dsf_grid[ii][jj].nval) |
91 |
– |
continue; |
92 |
– |
ovec_from_pos(ovec1, ii, jj); |
93 |
– |
ang2 = 2. - 2.*DOT(ovec0,ovec1); |
94 |
– |
if (ang2 >= lastang2) |
95 |
– |
continue; |
96 |
– |
lastang2 = ang2; |
97 |
– |
inear = ii; jnear = jj; |
98 |
– |
} |
99 |
– |
} |
100 |
– |
if (inear < 0) { |
101 |
– |
fprintf(stderr, |
102 |
– |
"%s: Could not find non-empty neighbor!\n", |
103 |
– |
progname); |
104 |
– |
exit(1); |
105 |
– |
} |
106 |
– |
ang2 = sqrt(lastang2); |
107 |
– |
r = ANG2R(ang2); /* record if > previous */ |
108 |
– |
if (r > dsf_grid[inear][jnear].crad) |
109 |
– |
dsf_grid[inear][jnear].crad = r; |
110 |
– |
/* next search radius */ |
111 |
– |
r = ang2*(2.*GRIDRES/M_PI) + 3; |
112 |
– |
} |
113 |
– |
/* blur radii over hemisphere */ |
114 |
– |
memset(fill_grid, 0, sizeof(fill_grid)); |
115 |
– |
memset(fill_cnt, 0, sizeof(fill_cnt)); |
116 |
– |
for (i = 0; i < GRIDRES; i++) |
117 |
– |
for (j = 0; j < GRIDRES; j++) { |
118 |
– |
if (!dsf_grid[i][j].crad) |
119 |
– |
continue; /* missing distance */ |
120 |
– |
r = R2ANG(dsf_grid[i][j].crad)*(2.*RSCA*GRIDRES/M_PI); |
121 |
– |
for (ii = i-r; ii <= i+r; ii++) { |
122 |
– |
if (ii < 0) continue; |
123 |
– |
if (ii >= GRIDRES) break; |
124 |
– |
for (jj = j-r; jj <= j+r; jj++) { |
125 |
– |
if (jj < 0) continue; |
126 |
– |
if (jj >= GRIDRES) break; |
127 |
– |
if ((ii-i)*(ii-i) + (jj-j)*(jj-j) > r*r) |
128 |
– |
continue; |
129 |
– |
fill_grid[ii][jj] += dsf_grid[i][j].crad; |
130 |
– |
fill_cnt[ii][jj]++; |
131 |
– |
} |
132 |
– |
} |
133 |
– |
} |
134 |
– |
/* copy back blurred radii */ |
135 |
– |
for (i = 0; i < GRIDRES; i++) |
136 |
– |
for (j = 0; j < GRIDRES; j++) |
137 |
– |
if (fill_cnt[i][j]) |
138 |
– |
dsf_grid[i][j].crad = fill_grid[i][j]/fill_cnt[i][j]; |
139 |
– |
} |
140 |
– |
|
141 |
– |
/* Cull points for more uniform distribution, leave all nval 0 or 1 */ |
142 |
– |
static void |
143 |
– |
cull_values(void) |
144 |
– |
{ |
145 |
– |
FVECT ovec0, ovec1; |
146 |
– |
double maxang, maxang2; |
147 |
– |
int i, j, ii, jj, r; |
148 |
– |
/* simple greedy algorithm */ |
149 |
– |
for (i = 0; i < GRIDRES; i++) |
150 |
– |
for (j = 0; j < GRIDRES; j++) { |
151 |
– |
if (!dsf_grid[i][j].nval) |
152 |
– |
continue; |
153 |
– |
if (!dsf_grid[i][j].crad) |
154 |
– |
continue; /* shouldn't happen */ |
155 |
– |
ovec_from_pos(ovec0, i, j); |
156 |
– |
maxang = 2.*R2ANG(dsf_grid[i][j].crad); |
157 |
– |
if (maxang > ovec0[2]) /* clamp near horizon */ |
158 |
– |
maxang = ovec0[2]; |
159 |
– |
r = maxang*(2.*GRIDRES/M_PI) + 1; |
160 |
– |
maxang2 = maxang*maxang; |
161 |
– |
for (ii = i-r; ii <= i+r; ii++) { |
162 |
– |
if (ii < 0) continue; |
163 |
– |
if (ii >= GRIDRES) break; |
164 |
– |
for (jj = j-r; jj <= j+r; jj++) { |
165 |
– |
if (jj < 0) continue; |
166 |
– |
if (jj >= GRIDRES) break; |
167 |
– |
if (!dsf_grid[ii][jj].nval) |
168 |
– |
continue; |
169 |
– |
if ((ii == i) & (jj == j)) |
170 |
– |
continue; /* don't get self-absorbed */ |
171 |
– |
ovec_from_pos(ovec1, ii, jj); |
172 |
– |
if (2. - 2.*DOT(ovec0,ovec1) >= maxang2) |
173 |
– |
continue; |
174 |
– |
/* absorb sum */ |
175 |
– |
dsf_grid[i][j].vsum += dsf_grid[ii][jj].vsum; |
176 |
– |
dsf_grid[i][j].nval += dsf_grid[ii][jj].nval; |
177 |
– |
/* keep value, though */ |
178 |
– |
dsf_grid[ii][jj].vsum /= (float)dsf_grid[ii][jj].nval; |
179 |
– |
dsf_grid[ii][jj].nval = 0; |
180 |
– |
} |
181 |
– |
} |
182 |
– |
} |
183 |
– |
/* final averaging pass */ |
184 |
– |
for (i = 0; i < GRIDRES; i++) |
185 |
– |
for (j = 0; j < GRIDRES; j++) |
186 |
– |
if (dsf_grid[i][j].nval > 1) { |
187 |
– |
dsf_grid[i][j].vsum /= (float)dsf_grid[i][j].nval; |
188 |
– |
dsf_grid[i][j].nval = 1; |
189 |
– |
} |
190 |
– |
} |
191 |
– |
|
192 |
– |
/* Compute minimum BSDF from histogram and clear it */ |
193 |
– |
static void |
147 |
|
comp_bsdf_min() |
148 |
|
{ |
149 |
< |
int cnt; |
150 |
< |
int i, target; |
149 |
> |
unsigned long cnt, target; |
150 |
> |
int i; |
151 |
|
|
152 |
|
cnt = 0; |
153 |
|
for (i = HISTLEN; i--; ) |
161 |
|
for (i = 0; cnt <= target; i++) |
162 |
|
cnt += bsdf_hist[i]; |
163 |
|
bsdf_min = histval(i-1); |
211 |
– |
memset(bsdf_hist, 0, sizeof(bsdf_hist)); |
164 |
|
} |
165 |
|
|
166 |
+ |
/* Determine if the given region is empty of grid samples */ |
167 |
+ |
static int |
168 |
+ |
empty_region(int x0, int x1, int y0, int y1) |
169 |
+ |
{ |
170 |
+ |
int x, y; |
171 |
+ |
|
172 |
+ |
for (x = x0; x < x1; x++) |
173 |
+ |
for (y = y0; y < y1; y++) |
174 |
+ |
if (dsf_grid[x][y].sum.n) |
175 |
+ |
return(0); |
176 |
+ |
return(1); |
177 |
+ |
} |
178 |
+ |
|
179 |
+ |
/* Determine if the given region is smooth enough to be a single lobe */ |
180 |
+ |
static int |
181 |
+ |
smooth_region(int x0, int x1, int y0, int y1) |
182 |
+ |
{ |
183 |
+ |
RREAL rMtx[3][3]; |
184 |
+ |
FVECT xvec; |
185 |
+ |
double A, B, C, nvs, sqerr; |
186 |
+ |
int x, y, n; |
187 |
+ |
/* compute planar regression */ |
188 |
+ |
memset(rMtx, 0, sizeof(rMtx)); |
189 |
+ |
memset(xvec, 0, sizeof(xvec)); |
190 |
+ |
for (x = x0; x < x1; x++) |
191 |
+ |
for (y = y0; y < y1; y++) |
192 |
+ |
if ((n = dsf_grid[x][y].sum.n) > 0) { |
193 |
+ |
double z = dsf_grid[x][y].sum.v; |
194 |
+ |
rMtx[0][0] += x*x*(double)n; |
195 |
+ |
rMtx[0][1] += x*y*(double)n; |
196 |
+ |
rMtx[0][2] += x*(double)n; |
197 |
+ |
rMtx[1][1] += y*y*(double)n; |
198 |
+ |
rMtx[1][2] += y*(double)n; |
199 |
+ |
rMtx[2][2] += (double)n; |
200 |
+ |
xvec[0] += x*z; |
201 |
+ |
xvec[1] += y*z; |
202 |
+ |
xvec[2] += z; |
203 |
+ |
} |
204 |
+ |
rMtx[1][0] = rMtx[0][1]; |
205 |
+ |
rMtx[2][0] = rMtx[0][2]; |
206 |
+ |
rMtx[2][1] = rMtx[1][2]; |
207 |
+ |
nvs = rMtx[2][2]; |
208 |
+ |
if (SDinvXform(rMtx, rMtx) != SDEnone) |
209 |
+ |
return(1); /* colinear values */ |
210 |
+ |
A = DOT(rMtx[0], xvec); |
211 |
+ |
B = DOT(rMtx[1], xvec); |
212 |
+ |
C = DOT(rMtx[2], xvec); |
213 |
+ |
sqerr = 0.0; /* compute mean squared error */ |
214 |
+ |
for (x = x0; x < x1; x++) |
215 |
+ |
for (y = y0; y < y1; y++) |
216 |
+ |
if ((n = dsf_grid[x][y].sum.n) > 0) { |
217 |
+ |
double d = A*x + B*y + C - dsf_grid[x][y].sum.v/n; |
218 |
+ |
sqerr += n*d*d; |
219 |
+ |
} |
220 |
+ |
if (sqerr <= nvs*SMOOTH_MSE) /* below absolute MSE threshold? */ |
221 |
+ |
return(1); |
222 |
+ |
/* OR below relative MSE threshold? */ |
223 |
+ |
return(sqerr*nvs <= xvec[2]*xvec[2]*SMOOTH_MSER); |
224 |
+ |
} |
225 |
+ |
|
226 |
+ |
/* Create new lobe based on integrated samples in region */ |
227 |
+ |
static int |
228 |
+ |
create_lobe(RBFVAL *rvp, int x0, int x1, int y0, int y1) |
229 |
+ |
{ |
230 |
+ |
double vtot = 0.0; |
231 |
+ |
double CIEXtot = 0.0, CIEZtot = 0.0; |
232 |
+ |
int nv = 0; |
233 |
+ |
double wxsum = 0.0, wysum = 0.0, wtsum = 0.0; |
234 |
+ |
double rad; |
235 |
+ |
int x, y; |
236 |
+ |
/* compute average for region */ |
237 |
+ |
for (x = x0; x < x1; x++) |
238 |
+ |
for (y = y0; y < y1; y++) |
239 |
+ |
if (dsf_grid[x][y].sum.n) { |
240 |
+ |
const double v = dsf_grid[x][y].sum.v; |
241 |
+ |
const int n = dsf_grid[x][y].sum.n; |
242 |
+ |
|
243 |
+ |
if (v > 0) { |
244 |
+ |
const double wt = v / (double)n; |
245 |
+ |
wxsum += wt * x; |
246 |
+ |
wysum += wt * y; |
247 |
+ |
wtsum += wt; |
248 |
+ |
} |
249 |
+ |
vtot += v; |
250 |
+ |
nv += n; |
251 |
+ |
if (rbf_colorimetry == RBCtristimulus) { |
252 |
+ |
CIEXtot += spec_grid[0][x][y]; |
253 |
+ |
CIEZtot += spec_grid[1][x][y]; |
254 |
+ |
} |
255 |
+ |
} |
256 |
+ |
if (!nv) { |
257 |
+ |
fprintf(stderr, "%s: internal - missing samples in create_lobe\n", |
258 |
+ |
progname); |
259 |
+ |
exit(1); |
260 |
+ |
} |
261 |
+ |
if (vtot <= 0) /* only create positive lobes */ |
262 |
+ |
return(0); |
263 |
+ |
/* assign color */ |
264 |
+ |
if (rbf_colorimetry == RBCtristimulus) { |
265 |
+ |
const double df = 1.0 / (CIEXtot + vtot + CIEZtot); |
266 |
+ |
C_COLOR cclr; |
267 |
+ |
c_cset(&cclr, CIEXtot*df, vtot*df); |
268 |
+ |
rvp->chroma = c_encodeChroma(&cclr); |
269 |
+ |
} else |
270 |
+ |
rvp->chroma = c_dfchroma; |
271 |
+ |
/* peak value based on integral */ |
272 |
+ |
vtot *= (x1-x0)*(y1-y0)*(2.*M_PI/GRIDRES/GRIDRES)/(double)nv; |
273 |
+ |
rad = (RSCA/(double)GRIDRES)*(x1-x0); |
274 |
+ |
rvp->peak = vtot / ((2.*M_PI) * rad*rad); |
275 |
+ |
rvp->crad = ANG2R(rad); /* put peak at centroid */ |
276 |
+ |
rvp->gx = (int)(wxsum/wtsum + .5); |
277 |
+ |
rvp->gy = (int)(wysum/wtsum + .5); |
278 |
+ |
return(1); |
279 |
+ |
} |
280 |
+ |
|
281 |
+ |
/* Recursive function to build radial basis function representation */ |
282 |
+ |
static int |
283 |
+ |
build_rbfrep(RBFVAL **arp, int *np, int x0, int x1, int y0, int y1) |
284 |
+ |
{ |
285 |
+ |
int xmid = (x0+x1)>>1; |
286 |
+ |
int ymid = (y0+y1)>>1; |
287 |
+ |
int branched[4]; |
288 |
+ |
int nadded, nleaves; |
289 |
+ |
/* need to make this a leaf? */ |
290 |
+ |
if (empty_region(x0, xmid, y0, ymid) || |
291 |
+ |
empty_region(xmid, x1, y0, ymid) || |
292 |
+ |
empty_region(x0, xmid, ymid, y1) || |
293 |
+ |
empty_region(xmid, x1, ymid, y1)) |
294 |
+ |
return(0); |
295 |
+ |
/* add children (branches+leaves) */ |
296 |
+ |
if ((branched[0] = build_rbfrep(arp, np, x0, xmid, y0, ymid)) < 0) |
297 |
+ |
return(-1); |
298 |
+ |
if ((branched[1] = build_rbfrep(arp, np, xmid, x1, y0, ymid)) < 0) |
299 |
+ |
return(-1); |
300 |
+ |
if ((branched[2] = build_rbfrep(arp, np, x0, xmid, ymid, y1)) < 0) |
301 |
+ |
return(-1); |
302 |
+ |
if ((branched[3] = build_rbfrep(arp, np, xmid, x1, ymid, y1)) < 0) |
303 |
+ |
return(-1); |
304 |
+ |
nadded = branched[0] + branched[1] + branched[2] + branched[3]; |
305 |
+ |
nleaves = !branched[0] + !branched[1] + !branched[2] + !branched[3]; |
306 |
+ |
if (!nleaves) /* nothing but branches? */ |
307 |
+ |
return(nadded); |
308 |
+ |
/* combine 4 leaves into 1? */ |
309 |
+ |
if ((nleaves == 4) & (x1-x0 <= MAX_RAD) && |
310 |
+ |
smooth_region(x0, x1, y0, y1)) |
311 |
+ |
return(0); |
312 |
+ |
/* need more array space? */ |
313 |
+ |
if ((*np+nleaves-1)>>RBFALLOCB != (*np-1)>>RBFALLOCB) { |
314 |
+ |
*arp = (RBFVAL *)realloc(*arp, |
315 |
+ |
sizeof(RBFVAL)*(*np+nleaves-1+(1<<RBFALLOCB))); |
316 |
+ |
if (*arp == NULL) |
317 |
+ |
return(-1); |
318 |
+ |
} |
319 |
+ |
/* create lobes for leaves */ |
320 |
+ |
if (!branched[0] && create_lobe(*arp+*np, x0, xmid, y0, ymid)) { |
321 |
+ |
++(*np); ++nadded; |
322 |
+ |
} |
323 |
+ |
if (!branched[1] && create_lobe(*arp+*np, xmid, x1, y0, ymid)) { |
324 |
+ |
++(*np); ++nadded; |
325 |
+ |
} |
326 |
+ |
if (!branched[2] && create_lobe(*arp+*np, x0, xmid, ymid, y1)) { |
327 |
+ |
++(*np); ++nadded; |
328 |
+ |
} |
329 |
+ |
if (!branched[3] && create_lobe(*arp+*np, xmid, x1, ymid, y1)) { |
330 |
+ |
++(*np); ++nadded; |
331 |
+ |
} |
332 |
+ |
return(nadded); |
333 |
+ |
} |
334 |
+ |
|
335 |
|
/* Count up filled nodes and build RBF representation from current grid */ |
336 |
|
RBFNODE * |
337 |
< |
make_rbfrep(void) |
337 |
> |
make_rbfrep() |
338 |
|
{ |
218 |
– |
int niter = 16; |
219 |
– |
double lastVar, thisVar = 100.; |
220 |
– |
int nn; |
339 |
|
RBFNODE *newnode; |
340 |
< |
RBFVAL *itera; |
341 |
< |
int i, j; |
224 |
< |
/* compute RBF radii */ |
225 |
< |
compute_radii(); |
226 |
< |
/* coagulate lobes */ |
227 |
< |
cull_values(); |
228 |
< |
nn = 0; /* count selected bins */ |
229 |
< |
for (i = 0; i < GRIDRES; i++) |
230 |
< |
for (j = 0; j < GRIDRES; j++) |
231 |
< |
nn += dsf_grid[i][j].nval; |
340 |
> |
RBFVAL *rbfarr; |
341 |
> |
int nn; |
342 |
|
/* compute minimum BSDF */ |
343 |
|
comp_bsdf_min(); |
344 |
< |
/* allocate RBF array */ |
345 |
< |
newnode = (RBFNODE *)malloc(sizeof(RBFNODE) + sizeof(RBFVAL)*(nn-1)); |
344 |
> |
/* create RBF node list */ |
345 |
> |
rbfarr = NULL; nn = 0; |
346 |
> |
if (build_rbfrep(&rbfarr, &nn, 0, GRIDRES, 0, GRIDRES) <= 0) { |
347 |
> |
if (nn) |
348 |
> |
goto memerr; |
349 |
> |
fprintf(stderr, |
350 |
> |
"%s: warning - skipping bad incidence (%.1f,%.1f)\n", |
351 |
> |
progname, theta_in_deg, phi_in_deg); |
352 |
> |
return(NULL); |
353 |
> |
} |
354 |
> |
/* (re)allocate RBF array */ |
355 |
> |
newnode = (RBFNODE *)realloc(rbfarr, |
356 |
> |
sizeof(RBFNODE) + sizeof(RBFVAL)*(nn-1)); |
357 |
|
if (newnode == NULL) |
358 |
|
goto memerr; |
359 |
+ |
/* copy computed lobes into RBF node */ |
360 |
+ |
memmove(newnode->rbfa, newnode, sizeof(RBFVAL)*nn); |
361 |
|
newnode->ord = -1; |
362 |
|
newnode->next = NULL; |
363 |
|
newnode->ejl = NULL; |
365 |
|
newnode->invec[0] = cos((M_PI/180.)*phi_in_deg)*newnode->invec[2]; |
366 |
|
newnode->invec[1] = sin((M_PI/180.)*phi_in_deg)*newnode->invec[2]; |
367 |
|
newnode->invec[2] = input_orient*sqrt(1. - newnode->invec[2]*newnode->invec[2]); |
368 |
< |
newnode->vtotal = 0; |
368 |
> |
newnode->vtotal = .0; |
369 |
|
newnode->nrbf = nn; |
370 |
< |
nn = 0; /* fill RBF array */ |
371 |
< |
for (i = 0; i < GRIDRES; i++) |
372 |
< |
for (j = 0; j < GRIDRES; j++) |
250 |
< |
if (dsf_grid[i][j].nval) { |
251 |
< |
newnode->rbfa[nn].peak = dsf_grid[i][j].vsum; |
252 |
< |
newnode->rbfa[nn].crad = RSCA*dsf_grid[i][j].crad + .5; |
253 |
< |
newnode->rbfa[nn].gx = i; |
254 |
< |
newnode->rbfa[nn].gy = j; |
255 |
< |
++nn; |
256 |
< |
} |
257 |
< |
/* iterate to improve interpolation accuracy */ |
258 |
< |
itera = (RBFVAL *)malloc(sizeof(RBFVAL)*newnode->nrbf); |
259 |
< |
if (itera == NULL) |
260 |
< |
goto memerr; |
261 |
< |
memcpy(itera, newnode->rbfa, sizeof(RBFVAL)*newnode->nrbf); |
262 |
< |
do { |
263 |
< |
double dsum = 0, dsum2 = 0; |
264 |
< |
nn = 0; |
265 |
< |
for (i = 0; i < GRIDRES; i++) |
266 |
< |
for (j = 0; j < GRIDRES; j++) |
267 |
< |
if (dsf_grid[i][j].nval) { |
268 |
< |
FVECT odir; |
269 |
< |
double corr; |
270 |
< |
ovec_from_pos(odir, i, j); |
271 |
< |
itera[nn++].peak *= corr = |
272 |
< |
dsf_grid[i][j].vsum / |
273 |
< |
eval_rbfrep(newnode, odir); |
274 |
< |
dsum += 1. - corr; |
275 |
< |
dsum2 += (1.-corr)*(1.-corr); |
276 |
< |
} |
277 |
< |
memcpy(newnode->rbfa, itera, sizeof(RBFVAL)*newnode->nrbf); |
278 |
< |
lastVar = thisVar; |
279 |
< |
thisVar = dsum2/(double)nn; |
370 |
> |
/* compute sum for normalization */ |
371 |
> |
while (nn-- > 0) |
372 |
> |
newnode->vtotal += rbf_volume(&newnode->rbfa[nn]); |
373 |
|
#ifdef DEBUG |
374 |
< |
fprintf(stderr, "Avg., RMS error: %.1f%% %.1f%%\n", |
282 |
< |
100.*dsum/(double)nn, |
283 |
< |
100.*sqrt(thisVar)); |
284 |
< |
#endif |
285 |
< |
} while (--niter > 0 && lastVar-thisVar > 0.02*lastVar); |
286 |
< |
|
287 |
< |
free(itera); |
288 |
< |
nn = 0; /* compute sum for normalization */ |
289 |
< |
while (nn < newnode->nrbf) |
290 |
< |
newnode->vtotal += rbf_volume(&newnode->rbfa[nn++]); |
291 |
< |
#ifdef DEBUG |
374 |
> |
fprintf(stderr, "Built RBF with %d lobes\n", newnode->nrbf); |
375 |
|
fprintf(stderr, "Integrated DSF at (%.1f,%.1f) deg. is %.2f\n", |
376 |
|
get_theta180(newnode->invec), get_phi360(newnode->invec), |
377 |
|
newnode->vtotal); |
378 |
|
#endif |
379 |
|
insert_dsf(newnode); |
297 |
– |
|
380 |
|
return(newnode); |
381 |
|
memerr: |
382 |
|
fprintf(stderr, "%s: Out of memory in make_rbfrep()\n", progname); |