/* image-proc.c: image processing routines */ #ifdef HAVE_CONFIG_H #include "config.h" #endif /* Def: HAVE_CONFIG_H */ #include #include #include "xstd.h" #include "logreport.h" #include "image-proc.h" #define BLACK 0 #define WHITE 0xff #ifndef M_SQRT2 #define M_SQRT2 1.41421356237 #endif /* Threshold for binarizing a monochrome image */ #define GRAY_THRESHOLD 225 /* RGB to grayscale */ #define LUMINANCE(r, g, b) ((r) * 0.30 + (g) * 0.59 + (b) * 0.11 + 0.5) #if 0 struct etyp { int t00, t11, t01, t01s; }; static gboolean get_edge(bitmap_type, int y, int x, struct etyp *t); static void check(int v1, int v2, int v3, struct etyp *t); #endif /* Allocate storage for a new distance map with the same dimensions as BITMAP and initialize it so that pixels in BITMAP with value TARGET_VALUE are at distance zero and all other pixels are at distance infinity. Then compute the gray-weighted distance from every non-target point to the nearest target point. */ at_distance_map new_distance_map(at_bitmap * bitmap, unsigned char target_value, gboolean padded, at_exception_type * exp) { signed x, y; float d, min; at_distance_map dist; unsigned char *b = AT_BITMAP_BITS(bitmap); unsigned w = AT_BITMAP_WIDTH(bitmap); unsigned h = AT_BITMAP_HEIGHT(bitmap); unsigned spp = AT_BITMAP_PLANES(bitmap); dist.height = h; dist.width = w; XMALLOC(dist.d, h * sizeof(float *)); XMALLOC(dist.weight, h * sizeof(float *)); for (y = 0; y < (signed)h; y++) { XCALLOC(dist.d[y], w * sizeof(float)); XMALLOC(dist.weight[y], w * sizeof(float)); } if (spp == 3) { for (y = 0; y < (signed)h; y++) { for (x = 0; x < (signed)w; x++, b += spp) { int gray; float fgray; gray = (int)LUMINANCE(b[0], b[1], b[2]); dist.d[y][x] = (gray == target_value ? 0.0F : 1.0e10F); fgray = gray * 0.0039215686F; /* = gray / 255.0F */ dist.weight[y][x] = 1.0F - fgray; /* dist.weight[y][x] = 1.0F - (fgray * fgray);*/ /* dist.weight[y][x] = (fgray < 0.5F ? 1.0F - fgray : -2.0F * fgray * (fgray - 1.0F));*/ } } } else { for (y = 0; y < (signed)h; y++) { for (x = 0; x < (signed)w; x++, b += spp) { int gray; float fgray; gray = b[0]; dist.d[y][x] = (gray == target_value ? 0.0F : 1.0e10F); fgray = gray * 0.0039215686F; /* = gray / 255.0F */ dist.weight[y][x] = 1.0F - fgray; /* dist.weight[y][x] = 1.0F - (fgray * fgray);*/ /* dist.weight[y][x] = (fgray < 0.5F ? 1.0F - fgray : -2.0F * fgray * (fgray - 1.0F)); */ } } } /* If the image is padded then border points are all at most one unit away from the nearest target point. */ if (padded) { for (y = 0; y < (signed)h; y++) { if (dist.d[y][0] > dist.weight[y][0]) dist.d[y][0] = dist.weight[y][0]; if (dist.d[y][w - 1] > dist.weight[y][w - 1]) dist.d[y][w - 1] = dist.weight[y][w - 1]; } for (x = 0; x < (signed)w; x++) { if (dist.d[0][x] > dist.weight[0][x]) dist.d[0][x] = dist.weight[0][x]; if (dist.d[h - 1][x] > dist.weight[h - 1][x]) dist.d[h - 1][x] = dist.weight[h - 1][x]; } } /* Scan the image from left to right, top to bottom. Examine the already-visited neighbors of each point (those situated above or to the left of it). Each neighbor knows the distance to its nearest target point; add to this distance the distance from the central point to the neighbor (either sqrt(2) or one) multiplied by the central point's weight (derived from its gray level). Replace the distance already stored at the central point if the new distance is smaller. */ for (y = 1; y < (signed)h; y++) { for (x = 1; x < (signed)w; x++) { if (dist.d[y][x] == 0.0F) continue; min = dist.d[y][x]; /* upper-left neighbor */ d = dist.d[y - 1][x - 1] + (float)M_SQRT2 *dist.weight[y][x]; if (d < min) min = dist.d[y][x] = d; /* upper neighbor */ d = dist.d[y - 1][x] + dist.weight[y][x]; if (d < min) min = dist.d[y][x] = d; /* left neighbor */ d = dist.d[y][x - 1] + dist.weight[y][x]; if (d < min) min = dist.d[y][x] = d; /* upper-right neighbor (except at the last column) */ if (x + 1 < (signed)w) { d = dist.d[y - 1][x + 1] + (float)M_SQRT2 *dist.weight[y][x]; if (d < min) min = dist.d[y][x] = d; } } } /* Same as above, but now scanning right to left, bottom to top. */ for (y = h - 2; y >= 0; y--) { for (x = w - 2; x >= 0; x--) { min = dist.d[y][x]; /* lower-right neighbor */ d = dist.d[y + 1][x + 1] + (float)M_SQRT2 *dist.weight[y][x]; if (d < min) min = dist.d[y][x] = d; /* lower neighbor */ d = dist.d[y + 1][x] + dist.weight[y][x]; if (d < min) min = dist.d[y][x] = d; /* right neighbor */ d = dist.d[y][x + 1] + dist.weight[y][x]; if (d < min) min = dist.d[y][x] = d; /* lower-left neighbor (except at the first column) */ if (x - 1 >= 0) { d = dist.d[y + 1][x - 1] + (float)M_SQRT2 *dist.weight[y][x]; if (d < min) min = dist.d[y][x] = d; } } } return dist; } /* Free the dynamically-allocated storage associated with a distance map. */ void free_distance_map(at_distance_map * dist) { unsigned y, h; if (!dist) return; h = dist->height; if (dist->d != NULL) { for (y = 0; y < h; y++) free((gpointer *) dist->d[y]); free((gpointer *) dist->d); } if (dist->weight != NULL) { for (y = 0; y < h; y++) free((gpointer *) dist->weight[y]); free((gpointer *) dist->weight); } } #if 0 void medial_axis(bitmap_type * bitmap, at_distance_map * dist, const at_color * bg_color) { unsigned x, y, test; unsigned w, h; unsigned char *b; float **d, f; at_color bg; assert(bitmap != NULL); assert(AT_BITMAP_PLANES(*bitmap) == 1); b = AT_BITMAP_BITS(*bitmap); assert(b != NULL); assert(dist != NULL); d = dist->d; assert(d != NULL); h = AT_BITMAP_HEIGHT(*dist); w = AT_BITMAP_WIDTH(*dist); assert(AT_BITMAP_WIDTH(*bitmap) == w && AT_BITMAP_HEIGHT(*bitmap) == h); if (bg_color) bg = *bg_color; else bg.r = bg.g = bg.b = 255; f = d[0][0] + 0.5; test = (f < d[1][0]) + (f < d[1][1]) + (f < d[0][1]); if (test > 1) b[0] = bg.r; f = d[0][w - 1] + 0.5; test = (f < d[1][w - 1]) + (f < d[1][w - 2]) + (f < d[0][w - 2]); if (test > 1) b[w - 1] = bg.r; for (x = 1; x < w - 1; x++) { f = d[0][x] + 0.5; test = (f < d[0][x - 1]) + (f < d[0][x + 1]) + (f < d[1][x - 1]) + (f < d[1][x]) + (f < d[1][x + 1]); if (test > 1) b[x] = bg.r; } b += w; for (y = 1; y < h - 1; y++) { f = d[y][0] + 0.5; test = (f < d[y - 1][0]) + (f < d[y - 1][1]) + (f < d[y][1]) + (f < d[y + 1][0]) + (f < d[y + 1][1]); if (test > 1) b[0] = bg.r; for (x = 1; x < w - 1; x++) { f = d[y][x] + 0.5; test = (f < d[y - 1][x - 1]) + (f < d[y - 1][x]) + (f < d[y - 1][x + 1]) + (f < d[y][x - 1]) + (f < d[y][x + 1]) + (f < d[y + 1][x - 1]) + (f < d[y + 1][x]) + (f < d[y + 1][x + 1]); if (test > 1) b[x] = bg.r; } f = d[y][w - 1] + 0.5; test = (f < d[y - 1][w - 1]) + (f < d[y - 1][w - 2]) + (f < d[y][w - 2]) + (f < d[y + 1][w - 1]) + (f < d[y + 1][w - 2]); if (test > 1) b[w - 1] = bg.r; b += w; } for (x = 1; x < w - 1; x++) { f = d[h - 1][x] + 0.5; test = (f < d[h - 1][x - 1]) + (f < d[h - 1][x + 1]) + (f < d[h - 2][x - 1]) + (f < d[h - 2][x]) + (f < d[h - 2][x + 1]); if (test > 1) b[x] = bg.r; } f = d[h - 1][0] + 0.5; test = (f < d[h - 2][0]) + (f < d[h - 2][1]) + (f < d[h - 1][1]); if (test > 1) b[0] = bg.r; f = d[h - 1][w - 1] + 0.5; test = (f < d[h - 2][w - 1]) + (f < d[h - 2][w - 2]) + (f < d[h - 1][w - 2]); if (test > 1) b[w - 1] = bg.r; } #endif /* Binarize a grayscale or color image. */ void binarize(at_bitmap * bitmap) { unsigned i, npixels, spp; unsigned char *b; assert(bitmap != NULL); assert(AT_BITMAP_BITS(bitmap) != NULL); b = AT_BITMAP_BITS(bitmap); spp = AT_BITMAP_PLANES(bitmap); npixels = AT_BITMAP_WIDTH(bitmap) * AT_BITMAP_HEIGHT(bitmap); if (spp == 1) { for (i = 0; i < npixels; i++) b[i] = (b[i] > GRAY_THRESHOLD ? WHITE : BLACK); } else if (spp == 3) { unsigned char *rgb = b; for (i = 0; i < npixels; i++, rgb += 3) { b[i] = (LUMINANCE(rgb[0], rgb[1], rgb[2]) > GRAY_THRESHOLD ? WHITE : BLACK); } XREALLOC(AT_BITMAP_BITS(bitmap), npixels); AT_BITMAP_PLANES(bitmap) = 1; } else { WARNING("binarize: %u-plane images are not supported", spp); } } #if 0 /* Thin a binary image, replacing the original image with the thinned one. */ at_bitmap ip_thin(bitmap_type input_b) { unsigned y, x, i; gboolean k, again; struct etyp t; unsigned w = AT_BITMAP_WIDTH(input_b); unsigned h = AT_BITMAP_HEIGHT(input_b); size_t num_bytes = w * h; bitmap_type b = input_b; if (AT_BITMAP_PLANES(input_b) != 1) { FATAL("thin: single-plane image required; " "%u-plane images cannot be thinned", AT_BITMAP_PLANES(input_b)); return b; } /* Process and return a copy of the input image. */ XMALLOC(b.bitmap, num_bytes); memcpy(b.bitmap, input_b.bitmap, num_bytes); /* Set background pixels to zero, foreground pixels to one. */ for (i = 0; i < num_bytes; i++) b.bitmap[i] = (b.bitmap[i] == BLACK ? 1 : 0); again = TRUE; while (again) { again = FALSE; for (y = 1; y < h - 1; y++) { for (x = 1; x < w - 1; x++) { /* During processing, pixels are used to store edge type codes, so we can't just test for WHITE or BLACK. */ if (*AT_BITMAP_PIXEL(b, y, x) == 0) continue; k = (!get_edge(b, y, x, &t) || (get_edge(b, y, x + 1, &t) && *AT_BITMAP_PIXEL(b, y - 1, x) && *AT_BITMAP_PIXEL(b, y + 1, x)) || (get_edge(b, y + 1, x, &t) && *AT_BITMAP_PIXEL(b, y, x - 1) && *AT_BITMAP_PIXEL(b, y, x + 1)) || (get_edge(b, y, x + 1, &t) && get_edge(b, y + 1, x + 1, &t) && get_edge(b, y + 1, x, &t))); if (k) continue; get_edge(b, y, x, &t); if (t.t01) *AT_BITMAP_PIXEL(b, y, x) |= 4; *AT_BITMAP_PIXEL(b, y, x) |= 2; again = TRUE; } } for (y = 0; y < h; y++) for (x = 0; x < w; x++) if (*AT_BITMAP_PIXEL(b, y, x) & 02) *AT_BITMAP_PIXEL(b, y, x) = 0; for (y = 1; y < h - 1; y++) { for (x = 1; x < w - 1; x++) { if (*AT_BITMAP_PIXEL(b, y, x) == 0) continue; k = (!get_edge(b, y, x, &t) || ((*AT_BITMAP_PIXEL(b, y, x) & 04) == 0) || (get_edge(b, y + 1, x, &t) && (*AT_BITMAP_PIXEL(b, y, x - 1)) && *AT_BITMAP_PIXEL(b, y, x + 1)) || (get_edge(b, y, x + 1, &t) && *AT_BITMAP_PIXEL(b, y - 1, x) && *AT_BITMAP_PIXEL(b, y + 1, x)) || (get_edge(b, y + 1, x, &t) && get_edge(b, y, x + 1, &t) && get_edge(b, y + 1, x + 1, &t))); if (k) continue; *AT_BITMAP_PIXEL(b, y, x) |= 02; again = TRUE; } } for (y = 0; y < h; y++) { for (x = 0; x < w; x++) { if (*AT_BITMAP_PIXEL(b, y, x) & 02) *AT_BITMAP_PIXEL(b, y, x) = 0; else if (*AT_BITMAP_PIXEL(b, y, x) > 0) *AT_BITMAP_PIXEL(b, y, x) = 1; } } } /* Staircase removal; northward bias. */ for (y = 1; y < h - 1; y++) { for (x = 1; x < w - 1; x++) { if (*AT_BITMAP_PIXEL(b, y, x) == 0) continue; k = !(*AT_BITMAP_PIXEL(b, y - 1, x) && ((*AT_BITMAP_PIXEL(b, y, x + 1) && !*AT_BITMAP_PIXEL(b, y - 1, x + 1) && !*AT_BITMAP_PIXEL(b, y + 1, x - 1) && (!*AT_BITMAP_PIXEL(b, y, x - 1) || !*AT_BITMAP_PIXEL(b, y + 1, x))) || (*AT_BITMAP_PIXEL(b, y, x - 1) && !*AT_BITMAP_PIXEL(b, y - 1, x - 1) && !*AT_BITMAP_PIXEL(b, y + 1, x + 1) && (!*AT_BITMAP_PIXEL(b, y, x + 1) || !*AT_BITMAP_PIXEL(b, y + 1, x))))); if (k) continue; *AT_BITMAP_PIXEL(b, y, x) |= 02; } } for (y = 0; y < h; y++) { for (x = 0; x < w; x++) { if (*AT_BITMAP_PIXEL(b, y, x) & 02) *AT_BITMAP_PIXEL(b, y, x) = 0; else if (*AT_BITMAP_PIXEL(b, y, x) > 0) *AT_BITMAP_PIXEL(b, y, x) = 1; } } /* Southward bias */ for (y = 1; y < h - 1; y++) { for (x = 1; x < w - 1; x++) { if (*AT_BITMAP_PIXEL(b, y, x) == 0) continue; k = !(*AT_BITMAP_PIXEL(b, y + 1, x) && ((*AT_BITMAP_PIXEL(b, y, x + 1) && !*AT_BITMAP_PIXEL(b, y + 1, x + 1) && !*AT_BITMAP_PIXEL(b, y - 1, x - 1) && (!*AT_BITMAP_PIXEL(b, y, x - 1) || !*AT_BITMAP_PIXEL(b, y - 1, x))) || (*AT_BITMAP_PIXEL(b, y, x - 1) && !*AT_BITMAP_PIXEL(b, y + 1, x - 1) && !*AT_BITMAP_PIXEL(b, y - 1, x + 1) && (!*AT_BITMAP_PIXEL(b, y, x + 1) || !*AT_BITMAP_PIXEL(b, y - 1, x))))); if (k) continue; *AT_BITMAP_PIXEL(b, y, x) |= 02; } } for (y = 0; y < h; y++) { for (x = 0; x < w; x++) { if (*AT_BITMAP_PIXEL(b, y, x) & 02) *AT_BITMAP_PIXEL(b, y, x) = 0; else if (*AT_BITMAP_PIXEL(b, y, x) > 0) *AT_BITMAP_PIXEL(b, y, x) = 1; } } /* Set background pixels to WHITE, foreground pixels to BLACK. */ for (i = 0; i < num_bytes; i++) b.bitmap[i] = (b.bitmap[i] == 0 ? WHITE : BLACK); return b; } gboolean get_edge(bitmap_type b, int y, int x, struct etyp * t) { t->t00 = 0; t->t01 = 0; t->t01s = 0; t->t11 = 0; check(*AT_BITMAP_PIXEL(b, y - 1, x - 1), *AT_BITMAP_PIXEL(b, y - 1, x), *AT_BITMAP_PIXEL(b, y - 1, x + 1), t); check(*AT_BITMAP_PIXEL(b, y - 1, x + 1), *AT_BITMAP_PIXEL(b, y, x + 1), *AT_BITMAP_PIXEL(b, y + 1, x + 1), t); check(*AT_BITMAP_PIXEL(b, y + 1, x + 1), *AT_BITMAP_PIXEL(b, y + 1, x), *AT_BITMAP_PIXEL(b, y + 1, x - 1), t); check(*AT_BITMAP_PIXEL(b, y + 1, x - 1), *AT_BITMAP_PIXEL(b, y, x - 1), *AT_BITMAP_PIXEL(b, y - 1, x - 1), t); return *AT_BITMAP_PIXEL(b, y, x) && t->t00 && t->t11 && !t->t01s; } void check(int v1, int v2, int v3, struct etyp *t) { if (!v2 && (!v1 || !v3)) t->t00 = 1; if (v2 && (v1 || v3)) t->t11 = 1; if ((!v1 && v2) || (!v2 && v3)) { t->t01s = t->t01; t->t01 = 1; } } #endif