NeuQuant.js
11.1 KB
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
/* NeuQuant Neural-Net Quantization Algorithm
* ------------------------------------------
*
* Copyright (c) 1994 Anthony Dekker
*
* NEUQUANT Neural-Net quantization algorithm by Anthony Dekker, 1994.
* See "Kohonen neural networks for optimal colour quantization"
* in "Network: Computation in Neural Systems" Vol. 5 (1994) pp 351-367.
* for a discussion of the algorithm.
* See also http://members.ozemail.com.au/~dekker/NEUQUANT.HTML
*
* Any party obtaining a copy of these files from the author, directly or
* indirectly, is granted, free of charge, a full and unrestricted irrevocable,
* world-wide, paid up, royalty-free, nonexclusive right and license to deal
* in this software and documentation files (the "Software"), including without
* limitation the rights to use, copy, modify, merge, publish, distribute, sublicense,
* and/or sell copies of the Software, and to permit persons who receive
* copies from any such party to do so, with the only requirement being
* that this copyright notice remain intact.
*
* (JavaScript port 2012 by Johan Nordberg)
*/
function toInt(v) {
return ~~v;
}
var ncycles = 100; // number of learning cycles
var netsize = 256; // number of colors used
var maxnetpos = netsize - 1;
// defs for freq and bias
var netbiasshift = 4; // bias for colour values
var intbiasshift = 16; // bias for fractions
var intbias = 1 << intbiasshift;
var gammashift = 10;
var gamma = 1 << gammashift;
var betashift = 10;
var beta = intbias >> betashift; /* beta = 1/1024 */
var betagamma = intbias << (gammashift - betashift);
// defs for decreasing radius factor
var initrad = netsize >> 3; // for 256 cols, radius starts
var radiusbiasshift = 6; // at 32.0 biased by 6 bits
var radiusbias = 1 << radiusbiasshift;
var initradius = initrad * radiusbias; //and decreases by a
var radiusdec = 30; // factor of 1/30 each cycle
// defs for decreasing alpha factor
var alphabiasshift = 10; // alpha starts at 1.0
var initalpha = 1 << alphabiasshift;
var alphadec; // biased by 10 bits
/* radbias and alpharadbias used for radpower calculation */
var radbiasshift = 8;
var radbias = 1 << radbiasshift;
var alpharadbshift = alphabiasshift + radbiasshift;
var alpharadbias = 1 << alpharadbshift;
// four primes near 500 - assume no image has a length so large that it is
// divisible by all four primes
var prime1 = 499;
var prime2 = 491;
var prime3 = 487;
var prime4 = 503;
var minpicturebytes = 3 * prime4;
/*
Constructor: NeuQuant
Arguments:
pixels - array of pixels in RGB format
samplefac - sampling factor 1 to 30 where lower is better quality
>
> pixels = [r, g, b, r, g, b, r, g, b, ..]
>
*/
function NeuQuant(pixels, samplefac) {
var network; // int[netsize][4]
var netindex; // for network lookup - really 256
// bias and freq arrays for learning
var bias;
var freq;
var radpower;
/*
Private Method: init
sets up arrays
*/
function init() {
network = [];
netindex = [];
bias = [];
freq = [];
radpower = [];
var i, v;
for (i = 0; i < netsize; i++) {
v = (i << (netbiasshift + 8)) / netsize;
network[i] = [v, v, v];
freq[i] = intbias / netsize;
bias[i] = 0;
}
}
/*
Private Method: unbiasnet
unbiases network to give byte values 0..255 and record position i to prepare for sort
*/
function unbiasnet() {
for (var i = 0; i < netsize; i++) {
network[i][0] >>= netbiasshift;
network[i][1] >>= netbiasshift;
network[i][2] >>= netbiasshift;
network[i][3] = i; // record color number
}
}
/*
Private Method: altersingle
moves neuron *i* towards biased (b,g,r) by factor *alpha*
*/
function altersingle(alpha, i, b, g, r) {
network[i][0] -= (alpha * (network[i][0] - b)) / initalpha;
network[i][1] -= (alpha * (network[i][1] - g)) / initalpha;
network[i][2] -= (alpha * (network[i][2] - r)) / initalpha;
}
/*
Private Method: alterneigh
moves neurons in *radius* around index *i* towards biased (b,g,r) by factor *alpha*
*/
function alterneigh(radius, i, b, g, r) {
var lo = Math.abs(i - radius);
var hi = Math.min(i + radius, netsize);
var j = i + 1;
var k = i - 1;
var m = 1;
var p, a;
while (j < hi || k > lo) {
a = radpower[m++];
if (j < hi) {
p = network[j++];
p[0] -= (a * (p[0] - b)) / alpharadbias;
p[1] -= (a * (p[1] - g)) / alpharadbias;
p[2] -= (a * (p[2] - r)) / alpharadbias;
}
if (k > lo) {
p = network[k--];
p[0] -= (a * (p[0] - b)) / alpharadbias;
p[1] -= (a * (p[1] - g)) / alpharadbias;
p[2] -= (a * (p[2] - r)) / alpharadbias;
}
}
}
/*
Private Method: contest
searches for biased BGR values
*/
function contest(b, g, r) {
/*
finds closest neuron (min dist) and updates freq
finds best neuron (min dist-bias) and returns position
for frequently chosen neurons, freq[i] is high and bias[i] is negative
bias[i] = gamma * ((1 / netsize) - freq[i])
*/
var bestd = ~(1 << 31);
var bestbiasd = bestd;
var bestpos = -1;
var bestbiaspos = bestpos;
var i, n, dist, biasdist, betafreq;
for (i = 0; i < netsize; i++) {
n = network[i];
dist = Math.abs(n[0] - b) + Math.abs(n[1] - g) + Math.abs(n[2] - r);
if (dist < bestd) {
bestd = dist;
bestpos = i;
}
biasdist = dist - (bias[i] >> (intbiasshift - netbiasshift));
if (biasdist < bestbiasd) {
bestbiasd = biasdist;
bestbiaspos = i;
}
betafreq = freq[i] >> betashift;
freq[i] -= betafreq;
bias[i] += betafreq << gammashift;
}
freq[bestpos] += beta;
bias[bestpos] -= betagamma;
return bestbiaspos;
}
/*
Private Method: inxbuild
sorts network and builds netindex[0..255]
*/
function inxbuild() {
var i,
j,
p,
q,
smallpos,
smallval,
previouscol = 0,
startpos = 0;
for (i = 0; i < netsize; i++) {
p = network[i];
smallpos = i;
smallval = p[1]; // index on g
// find smallest in i..netsize-1
for (j = i + 1; j < netsize; j++) {
q = network[j];
if (q[1] < smallval) {
// index on g
smallpos = j;
smallval = q[1]; // index on g
}
}
q = network[smallpos];
// swap p (i) and q (smallpos) entries
if (i != smallpos) {
j = q[0];
q[0] = p[0];
p[0] = j;
j = q[1];
q[1] = p[1];
p[1] = j;
j = q[2];
q[2] = p[2];
p[2] = j;
j = q[3];
q[3] = p[3];
p[3] = j;
}
// smallval entry is now in position i
if (smallval != previouscol) {
netindex[previouscol] = (startpos + i) >> 1;
for (j = previouscol + 1; j < smallval; j++) netindex[j] = i;
previouscol = smallval;
startpos = i;
}
}
netindex[previouscol] = (startpos + maxnetpos) >> 1;
for (j = previouscol + 1; j < 256; j++) netindex[j] = maxnetpos; // really 256
}
/*
Private Method: inxsearch
searches for BGR values 0..255 and returns a color index
*/
function inxsearch(b, g, r) {
var a, p, dist;
var bestd = 1000; // biggest possible dist is 256*3
var best = -1;
var i = netindex[g]; // index on g
var j = i - 1; // start at netindex[g] and work outwards
while (i < netsize || j >= 0) {
if (i < netsize) {
p = network[i];
dist = p[1] - g; // inx key
if (dist >= bestd) i = netsize;
// stop iter
else {
i++;
if (dist < 0) dist = -dist;
a = p[0] - b;
if (a < 0) a = -a;
dist += a;
if (dist < bestd) {
a = p[2] - r;
if (a < 0) a = -a;
dist += a;
if (dist < bestd) {
bestd = dist;
best = p[3];
}
}
}
}
if (j >= 0) {
p = network[j];
dist = g - p[1]; // inx key - reverse dif
if (dist >= bestd) j = -1;
// stop iter
else {
j--;
if (dist < 0) dist = -dist;
a = p[0] - b;
if (a < 0) a = -a;
dist += a;
if (dist < bestd) {
a = p[2] - r;
if (a < 0) a = -a;
dist += a;
if (dist < bestd) {
bestd = dist;
best = p[3];
}
}
}
}
}
return best;
}
/*
Private Method: learn
"Main Learning Loop"
*/
function learn() {
var i;
var lengthcount = pixels.length;
var alphadec = toInt(30 + (samplefac - 1) / 3);
var samplepixels = toInt(lengthcount / (3 * samplefac));
var delta = toInt(samplepixels / ncycles);
var alpha = initalpha;
var radius = initradius;
var rad = radius >> radiusbiasshift;
if (rad <= 1) rad = 0;
for (i = 0; i < rad; i++)
radpower[i] = toInt(
alpha * (((rad * rad - i * i) * radbias) / (rad * rad))
);
var step;
if (lengthcount < minpicturebytes) {
samplefac = 1;
step = 3;
} else if (lengthcount % prime1 !== 0) {
step = 3 * prime1;
} else if (lengthcount % prime2 !== 0) {
step = 3 * prime2;
} else if (lengthcount % prime3 !== 0) {
step = 3 * prime3;
} else {
step = 3 * prime4;
}
var b, g, r, j;
var pix = 0; // current pixel
i = 0;
while (i < samplepixels) {
b = (pixels[pix] & 0xff) << netbiasshift;
g = (pixels[pix + 1] & 0xff) << netbiasshift;
r = (pixels[pix + 2] & 0xff) << netbiasshift;
j = contest(b, g, r);
altersingle(alpha, j, b, g, r);
if (rad !== 0) alterneigh(rad, j, b, g, r); // alter neighbours
pix += step;
if (pix >= lengthcount) pix -= lengthcount;
i++;
if (delta === 0) delta = 1;
if (i % delta === 0) {
alpha -= alpha / alphadec;
radius -= radius / radiusdec;
rad = radius >> radiusbiasshift;
if (rad <= 1) rad = 0;
for (j = 0; j < rad; j++)
radpower[j] = toInt(
alpha * (((rad * rad - j * j) * radbias) / (rad * rad))
);
}
}
}
/*
Method: buildColormap
1. initializes network
2. trains it
3. removes misconceptions
4. builds colorindex
*/
function buildColormap() {
init();
learn();
unbiasnet();
inxbuild();
}
this.buildColormap = buildColormap;
/*
Method: getColormap
builds colormap from the index
returns array in the format:
>
> [r, g, b, r, g, b, r, g, b, ..]
>
*/
function getColormap() {
var map = [];
var index = [];
for (var i = 0; i < netsize; i++) index[network[i][3]] = i;
var k = 0;
for (var l = 0; l < netsize; l++) {
var j = index[l];
map[k++] = network[j][0];
map[k++] = network[j][1];
map[k++] = network[j][2];
}
return map;
}
this.getColormap = getColormap;
/*
Method: lookupRGB
looks for the closest *r*, *g*, *b* color in the map and
returns its index
*/
this.lookupRGB = inxsearch;
}
module.exports = NeuQuant;