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- /* Copyright 1988 Regents of the University of California */
-
- #ifndef lint
- static char SCCSid[] = "@(#)cut.c 2.1 11/12/91 LBL";
- #endif
-
- /*
- CUT - Median bisection (k-d tree) algorithm for color image quantization
-
- flaw: doesn't always create as many colors as requested
- because the binary subdivision is always done in a balanced tree and when a box
- contains only one color it's unsplittable
-
- Paul Heckbert
- */
-
- #include "ciq.h"
-
- struct index {short *o; int freq;};
- /* offset and pixel count for a box */
-
- struct pail {struct plum *first; int freak;};
- /* each pail is a bucket containing plums */
-
- struct plum {struct plum *next; int code;};
- /* a color in a pail's linked list */
-
- static short off[len];
- /* color codes: offsets of colors in hist array */
-
-
- makecm(nw,na) /* subdivide colorspace to generate a colormap*/
- int nw,*na; /* number of colors wanted, actual */
- {
- int i,m,n,freq,weight,sr,sg,sb;
- short *o;
- struct index index[257]; /* pointers into off */
- /* index[i].o is pointer to code for first color in box i */
-
- for (o=off, *na=i=0; i<len; i++)
- if (hist[i]) {
- (*na)++;
- *o++ = i; /* initialize offsets */
- }
- index[0].o = off; /* start with one big box which contains all *na colors */
- index[0].freq = xmax*ymax; /* and (sum of hist[i]) pixels */
- index[1].o = off+*na;
-
- /* breadth-first binary subdivision: try to make nw boxes */
- for (m=1; m<nw; m<<=1) {
- /*printf("%d ",m);*/
- index[m<<1].o = index[m].o;
- for (i=m-1; i>=0; --i) splitbox(index+i,index+(i<<1));
- }
- for (n=i=0; i<m && n<nw; i++) if (index[i+1].o>index[i].o) {
- sr = sg = sb = (freq = index[i].freq)>>1;
- for (o=index[i].o; o<index[i+1].o; o++) {
- weight = hist[*o];
- /* find weighted average of colors in box i */
- sr += red(*o)*weight;
- sg += gre(*o)*weight;
- sb += blu(*o)*weight;
- }
- color[0][n] = sr/freq;
- color[1][n] = sg/freq;
- color[2][n] = sb/freq;
- /* printf("color[%d]=(%3d,%3d,%3d) freq=%d\n",
- n,color[0][n],color[1][n],color[2][n],freq); */
- n++;
- }
- /*printf("[%d empty boxes] from %d to %d colors\n",nw-n,*na,n);*/
- return n;
- }
-
- splitbox(ii,io) /* split a box in two: half of the pixels from */
- struct index *ii,*io; /* box ii will go into io, the other half into io+1 */
- {
- register short *o,*o1,*o2;
- register int shift,count,k,freq,r,g,b,r1,g1,b1,r2,g2,b2;
- struct pail pail[32],*p,*q; /* buckets for sorting colors */
- struct plum plum[len],*pl=plum,*u; /* colors */
-
- o1 = ii[0].o;
- o2 = ii[1].o;
- freq = ii[0].freq; /* number of pixels with color in this box */
- r1 = g1 = b1 = 256; r2 = g2 = b2 = -1;
- for (o=o1; o<o2; o++) {
- r = red(*o);
- g = gre(*o);
- b = blu(*o);
- if (r<r1) r1 = r; if (r>r2) r2 = r; /* find min&max r, g, and b */
- if (g<g1) g1 = g; if (g>g2) g2 = g;
- if (b<b1) b1 = b; if (b>b2) b2 = b;
- }
-
- /* adaptive partitioning: find dominant dimension */
- shift = r2-r1>g2-g1?r2-r1>=b2-b1?10:0:g2-g1>=b2-b1?5:0;
- /* printf("splitbox %3d-%3d %3dx%3dx%3d %c ",
- o1-off,o2-off,r2-r1,g2-g1,b2-b1,shift==10?'R':shift==5?'G':'B'); */
-
- for (p=pail, k=0; k<32; k++, p++) { /* start with empty pails */
- p->first = 0;
- p->freak = 0;
- }
- for (o=o1; o<o2; o++) {
- p = pail+(*o>>shift&31); /* find appropriate pail */
- pl->code = *o;
- pl->next = p->first;
- p->first = pl++; /* add new plum to pail */
- p->freak += hist[*o];
- }
-
- /* find median along dominant dimension */
- for (count=freq>>1, p=pail; count>0; p++) count -= p->freak;
-
- if (p>pail && count+(p-1)->freak<-count) /* back up one? */
- count += (--p)->freak;
-
- io[1].o = o1; /* in case of empty box */
- for (o=o1, q=pail; o<o2;) { /* dump the pails to reorder colors in box */
- for (u=q->first; u; u=u->next) *o++ = u->code;
- if (++q==p) io[1].o = o; /* place partition at offset o */
- }
- io[0].o = o1;
- io[0].freq = (freq>>1)-count;
- io[1].freq = (freq+1>>1)+count;
- /* printf(" at %3d %d=%d+%d\n",io[1].o-off,freq,io[0].freq,io[1].freq); */
- }
-