Color quantization/C: Difference between revisions
(Created page with "This is a complete program that takes a PPM P6 image and a number, then writes out the image reduced to the number of colors to out.ppm. <lang c>#include <stdio.h> #include <stdl...") |
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This is a complete program that takes a PPM P6 image and a number, then writes out the image reduced to the number of colors to out.ppm. |
This is a complete program that takes a PPM P6 image and a number, then writes out the image reduced to the number of colors to out.ppm. There is optional dithering, too, which doesn't make a whole lot of difference with say 64 colors or more. And with low colors, the quantization did such a good job of picking average colors that it actually hurts the dithering process. |
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<lang c>#include <stdio.h> |
<lang c>#include <stdio.h> |
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#include <stdlib.h> |
#include <stdlib.h> |
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#include <string.h> |
#include <string.h> |
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#include <stdint.h> |
#include <stdint.h> |
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#include <math.h> |
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typedef struct { |
typedef struct { |
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#define ON_INHEAP 1 |
#define ON_INHEAP 1 |
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typedef struct oct_node_t oct_node_t, *oct_node; |
typedef struct oct_node_t oct_node_t, *oct_node; |
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struct oct_node_t{ |
struct oct_node_t{ |
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/* sum of all |
int64_t r, g, b; /* sum of all child node colors */ |
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uint64_t r, g, b; |
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int count, heap_idx; |
int count, heap_idx; |
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oct_node kids[8], parent; |
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unsigned char n_kids, kid_idx, flags, depth; |
unsigned char n_kids, kid_idx, flags, depth; |
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oct_node kids[8], parent; |
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}; |
}; |
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} node_heap; |
} node_heap; |
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/* cmp function that decides the ordering in the heap. This is how we determine |
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which octree node to fold next, the heart of the algorithm. */ |
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inline int cmp_node(oct_node a, oct_node b) |
inline int cmp_node(oct_node a, oct_node b) |
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{ |
{ |
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if (a->n_kids > b->n_kids) return 1; |
if (a->n_kids > b->n_kids) return 1; |
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int ac = a->count |
int ac = a->count >> a->depth; |
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int bc = b->count |
int bc = b->count >> b->depth; |
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return ac < bc ? -1 : ac > bc; |
return ac < bc ? -1 : ac > bc; |
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} |
} |
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oct_node node_insert(oct_node root, unsigned char *pix) |
oct_node node_insert(oct_node root, unsigned char *pix) |
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{ |
{ |
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# define OCT_DEPTH 8 |
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/* 8: number of significant bits used for tree. It's probably good enough |
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for most images to use a value of 5. This affects how many nodes eventually |
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end up in the tree and heap, thus smaller values helps with both speed |
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and memory. */ |
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unsigned char i, bit, depth = 0; |
unsigned char i, bit, depth = 0; |
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for (bit = 1 << 7; ++depth < OCT_DEPTH; bit >>= 1) { |
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for (bit = 1 << 7; ++depth < 8; bit >>= 1) { |
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i = !!(pix[1] & bit) * 4 + !!(pix[0] & bit) * 2 + !!(pix[2] & bit); |
i = !!(pix[1] & bit) * 4 + !!(pix[0] & bit) * 2 + !!(pix[2] & bit); |
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if (!root->kids[i]) |
if (!root->kids[i]) |
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} |
} |
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/* traverse the octree just like construction, but this time we replace the pixel |
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color with color stored in the tree node */ |
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void color_replace(oct_node root, unsigned char *pix) |
void color_replace(oct_node root, unsigned char *pix) |
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{ |
{ |
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} |
} |
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void |
void error_diffuse(image im, node_heap *h) |
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{ |
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oct_node nearest_color(int *v) { |
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int i; |
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int diff, max = 100000000; |
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oct_node o = 0; |
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for (i = 1; i < h->n; i++) { |
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diff = 3 * abs(h->buf[i]->r - v[0]) |
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+ 5 * abs(h->buf[i]->g - v[1]) |
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+ 2 * abs(h->buf[i]->b - v[2]); |
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if (diff < max) { |
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max = diff; |
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o = h->buf[i]; |
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} |
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} |
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return o; |
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} |
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# define POS(i, j) (3 * ((i) * im->w + (j))) |
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int i, j; |
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int *npx = calloc(sizeof(int), im->h * im->w * 3), *px; |
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int v[3]; |
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unsigned char *pix = im->pix; |
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oct_node nd; |
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#define C10 7 |
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#define C01 5 |
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#define C11 2 |
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#define C00 1 |
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#define CTOTAL (C00 + C11 + C10 + C01) |
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for (px = npx, i = 0; i < im->h; i++) { |
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for (j = 0; j < im->w; j++, pix += 3, px += 3) { |
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px[0] = (int)pix[0] * CTOTAL; |
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px[1] = (int)pix[1] * CTOTAL; |
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px[2] = (int)pix[2] * CTOTAL; |
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} |
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} |
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#define clamp(x, i) if (x[i] > 255) x[i] = 255; if (x[i] < 0) x[i] = 0 |
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pix = im->pix; |
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for (px = npx, i = 0; i < im->h; i++) { |
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for (j = 0; j < im->w; j++, pix += 3, px += 3) { |
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px[0] /= CTOTAL; |
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px[1] /= CTOTAL; |
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px[2] /= CTOTAL; |
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clamp(px, 0); clamp(px, 1); clamp(px, 2); |
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nd = nearest_color(px); |
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v[0] = px[0] - nd->r; |
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v[1] = px[1] - nd->g; |
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v[2] = px[2] - nd->b; |
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pix[0] = nd->r; pix[1] = nd->g; pix[2] = nd->b; |
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if (j < im->w - 1) { |
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npx[POS(i, j+1) + 0] += v[0] * C10; |
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npx[POS(i, j+1) + 1] += v[1] * C10; |
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npx[POS(i, j+1) + 2] += v[2] * C10; |
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} |
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if (i >= im->h - 1) continue; |
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npx[POS(i+1, j) + 0] += v[0] * C01; |
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npx[POS(i+1, j) + 1] += v[1] * C01; |
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npx[POS(i+1, j) + 2] += v[2] * C01; |
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if (j < im->w - 1) { |
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npx[POS(i+1, j+1) + 0] += v[0] * C11; |
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npx[POS(i+1, j+1) + 1] += v[1] * C11; |
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npx[POS(i+1, j+1) + 2] += v[2] * C11; |
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} |
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if (j) { |
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npx[POS(i+1, j-1) + 0] += v[0] * C00; |
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npx[POS(i+1, j-1) + 1] += v[1] * C00; |
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npx[POS(i+1, j-1) + 2] += v[2] * C00; |
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} |
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} |
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} |
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free(npx); |
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} |
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void color_quant(image im, int n_colors, int dither) |
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{ |
{ |
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int i; |
int i; |
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got->g = got->g / c + .5; |
got->g = got->g / c + .5; |
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got->b = got->b / c + .5; |
got->b = got->b / c + .5; |
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printf("%2d | %3llu %3llu %3llu (%d pixels)\n", |
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i, got->r, got->g, got->b, got->count); |
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} |
} |
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if (dither) error_diffuse(im, &heap); |
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for (i = 0, pix = im->pix; i < im->w * im->h; i++, pix += 3) |
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else |
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color_replace(root, pix); |
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for (i = 0, pix = im->pix; i < im->w * im->h; i++, pix += 3) |
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color_replace(root, pix); |
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node_free(); |
node_free(); |
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image im = read_ppm(v[1]); |
image im = read_ppm(v[1]); |
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color_quant(im, c); |
color_quant(im, c, 0); |
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write_ppm(im, "out.pnm"); |
write_ppm(im, "out.pnm"); |
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free(im); |
free(im); |
Revision as of 04:51, 13 August 2011
This is a complete program that takes a PPM P6 image and a number, then writes out the image reduced to the number of colors to out.ppm. There is optional dithering, too, which doesn't make a whole lot of difference with say 64 colors or more. And with low colors, the quantization did such a good job of picking average colors that it actually hurts the dithering process. <lang c>#include <stdio.h>
- include <stdlib.h>
- include <fcntl.h>
- include <unistd.h>
- include <ctype.h>
- include <string.h>
- include <stdint.h>
- include <math.h>
typedef struct { int w, h; unsigned char *pix; } image_t, *image;
int write_ppm(image im, char *fn) { FILE *fp = fopen(fn, "w"); if (!fp) return 0; fprintf(fp, "P6\n%d %d\n255\n", im->w, im->h); fwrite(im->pix, 1, 3 * im->w * im->h, fp); fclose(fp); return 1; }
image img_new(int w, int h) { image im = malloc(sizeof(image_t) + h * w * 3); im->w = w; im->h = h; im->pix = (unsigned char *)(im + 1); return im; }
int read_num(FILE *f) { int n; while (!fscanf(f, "%d ", &n)) { if ((n = fgetc(f)) == '#') { while ((n = fgetc(f)) != '\n') if (n == EOF) return 0; } else return 0; } return n; }
image read_ppm(char *fn) { FILE *fp = fopen(fn, "r"); int w, h, maxval; image im = 0; if (!fp) return 0;
if (fgetc(fp) != 'P' || fgetc(fp) != '6' || !isspace(fgetc(fp))) goto bail;
w = read_num(fp); h = read_num(fp); maxval = read_num(fp); if (!w || !h || !maxval) goto bail;
im = img_new(w, h); fread(im->pix, 1, 3 * w * h, fp); bail: if (fp) fclose(fp); return im; }
- define ON_INHEAP 1
typedef struct oct_node_t oct_node_t, *oct_node; struct oct_node_t{ int64_t r, g, b; /* sum of all child node colors */ int count, heap_idx; unsigned char n_kids, kid_idx, flags, depth; oct_node kids[8], parent; };
typedef struct { int alloc, n; oct_node* buf; } node_heap;
inline int cmp_node(oct_node a, oct_node b) { if (a->n_kids < b->n_kids) return -1; if (a->n_kids > b->n_kids) return 1;
int ac = a->count >> a->depth; int bc = b->count >> b->depth; return ac < bc ? -1 : ac > bc; }
void down_heap(node_heap *h, oct_node p) { int n = p->heap_idx, m; while (1) { m = n * 2; if (m >= h->n) break; if (m + 1 < h->n && cmp_node(h->buf[m], h->buf[m + 1]) > 0) m++;
if (cmp_node(p, h->buf[m]) <= 0) break;
h->buf[n] = h->buf[m]; h->buf[n]->heap_idx = n; n = m; } h->buf[n] = p; p->heap_idx = n; }
void up_heap(node_heap *h, oct_node p) { int n = p->heap_idx; oct_node prev;
while (n > 1) { prev = h->buf[n / 2]; if (cmp_node(p, prev) >= 0) break;
h->buf[n] = prev; prev->heap_idx = n; n /= 2; } h->buf[n] = p; p->heap_idx = n; }
void heap_add(node_heap *h, oct_node p) { if ((p->flags & ON_INHEAP)) { down_heap(h, p); up_heap(h, p); return; }
p->flags |= ON_INHEAP; if (!h->n) h->n = 1; if (h->n >= h->alloc) { while (h->n >= h->alloc) h->alloc += 1024; h->buf = realloc(h->buf, sizeof(oct_node) * h->alloc); }
p->heap_idx = h->n; h->buf[h->n++] = p; up_heap(h, p); }
oct_node pop_heap(node_heap *h) { if (h->n <= 1) return 0;
oct_node ret = h->buf[1]; h->buf[1] = h->buf[--h->n];
h->buf[h->n] = 0;
h->buf[1]->heap_idx = 1; down_heap(h, h->buf[1]);
return ret; }
static oct_node pool = 0; oct_node node_new(unsigned char idx, unsigned char depth, oct_node p) { static int len = 0; if (len <= 1) { oct_node p = calloc(sizeof(oct_node_t), 2048); p->parent = pool; pool = p; len = 2047; }
oct_node x = pool + len--; x->kid_idx = idx; x->depth = depth; x->parent = p; if (p) p->n_kids++; return x; }
void node_free() { oct_node p; while (pool) { p = pool->parent; free(pool); pool = p; } }
oct_node node_insert(oct_node root, unsigned char *pix) { unsigned char i, bit, depth = 0;
for (bit = 1 << 7; ++depth < 8; bit >>= 1) { i = !!(pix[1] & bit) * 4 + !!(pix[0] & bit) * 2 + !!(pix[2] & bit); if (!root->kids[i]) root->kids[i] = node_new(i, depth, root);
root = root->kids[i]; }
root->r += pix[0]; root->g += pix[1]; root->b += pix[2]; root->count++; return root; }
oct_node node_fold(oct_node p) { if (p->n_kids) abort(); oct_node q = p->parent; q->count += p->count;
q->r += p->r; q->g += p->g; q->b += p->b; q->n_kids --; q->kids[p->kid_idx] = 0; return q; }
void color_replace(oct_node root, unsigned char *pix) { unsigned char i, bit;
for (bit = 1 << 7; bit; bit >>= 1) { i = !!(pix[1] & bit) * 4 + !!(pix[0] & bit) * 2 + !!(pix[2] & bit); if (!root->kids[i]) break; root = root->kids[i]; }
pix[0] = root->r; pix[1] = root->g; pix[2] = root->b; }
void error_diffuse(image im, node_heap *h) { oct_node nearest_color(int *v) { int i; int diff, max = 100000000; oct_node o = 0; for (i = 1; i < h->n; i++) { diff = 3 * abs(h->buf[i]->r - v[0]) + 5 * abs(h->buf[i]->g - v[1]) + 2 * abs(h->buf[i]->b - v[2]); if (diff < max) { max = diff; o = h->buf[i]; } } return o; }
- define POS(i, j) (3 * ((i) * im->w + (j)))
int i, j; int *npx = calloc(sizeof(int), im->h * im->w * 3), *px; int v[3]; unsigned char *pix = im->pix; oct_node nd;
- define C10 7
- define C01 5
- define C11 2
- define C00 1
- define CTOTAL (C00 + C11 + C10 + C01)
for (px = npx, i = 0; i < im->h; i++) { for (j = 0; j < im->w; j++, pix += 3, px += 3) { px[0] = (int)pix[0] * CTOTAL; px[1] = (int)pix[1] * CTOTAL; px[2] = (int)pix[2] * CTOTAL; } }
- define clamp(x, i) if (x[i] > 255) x[i] = 255; if (x[i] < 0) x[i] = 0
pix = im->pix; for (px = npx, i = 0; i < im->h; i++) { for (j = 0; j < im->w; j++, pix += 3, px += 3) { px[0] /= CTOTAL; px[1] /= CTOTAL; px[2] /= CTOTAL; clamp(px, 0); clamp(px, 1); clamp(px, 2);
nd = nearest_color(px);
v[0] = px[0] - nd->r; v[1] = px[1] - nd->g; v[2] = px[2] - nd->b;
pix[0] = nd->r; pix[1] = nd->g; pix[2] = nd->b; if (j < im->w - 1) { npx[POS(i, j+1) + 0] += v[0] * C10; npx[POS(i, j+1) + 1] += v[1] * C10; npx[POS(i, j+1) + 2] += v[2] * C10; } if (i >= im->h - 1) continue;
npx[POS(i+1, j) + 0] += v[0] * C01; npx[POS(i+1, j) + 1] += v[1] * C01; npx[POS(i+1, j) + 2] += v[2] * C01;
if (j < im->w - 1) { npx[POS(i+1, j+1) + 0] += v[0] * C11; npx[POS(i+1, j+1) + 1] += v[1] * C11; npx[POS(i+1, j+1) + 2] += v[2] * C11; } if (j) { npx[POS(i+1, j-1) + 0] += v[0] * C00; npx[POS(i+1, j-1) + 1] += v[1] * C00; npx[POS(i+1, j-1) + 2] += v[2] * C00; } } } free(npx); }
void color_quant(image im, int n_colors, int dither) { int i; unsigned char *pix = im->pix; node_heap heap = { 0, 0, 0 };
oct_node root = node_new(0, 0, 0), got; for (i = 0; i < im->w * im->h; i++, pix += 3) heap_add(&heap, node_insert(root, pix));
while (heap.n > n_colors + 1) heap_add(&heap, node_fold(pop_heap(&heap)));
double c; for (i = 1; i < heap.n; i++) { got = heap.buf[i]; c = got->count; got->r = got->r / c + .5; got->g = got->g / c + .5; got->b = got->b / c + .5; }
if (dither) error_diffuse(im, &heap); else for (i = 0, pix = im->pix; i < im->w * im->h; i++, pix += 3) color_replace(root, pix);
node_free(); free(heap.buf); }
int main(int c, char *v[]) { if (c < 3) { fprintf(stderr, "usage: %s ppm_file n_colors\n", v[0]); return 0; }
c = atoi(v[2]) ? : 16; /* GCC extension */
image im = read_ppm(v[1]); color_quant(im, c, 0); write_ppm(im, "out.pnm"); free(im);
return 0; }</lang>