84:
74:
53:
22:
158:
296:
Someone added {{dubious}} to the last section. That template expands to "see talk page" but it was empty when I got here. Someone with a knowledge of OCaml should confirm or deny the assertion that the OCaml code is not doing the right thing. Note that the OCaml code also appears as an example on
597:
According to
Szeliski Book, chapter 3.5.4 wavelets produce one image that contains strong influence of vertical edges, and gradients, another in horizontal features and the last one in less frequent mixed derivatives, clearly the image has this three characteristics clearly splitted. I think that
539:
624:
It would be helpful to have a simple diagram for IDWT, just like the existing diagrams for DWT. I came looking for hints on how to combine the different components back into the original image, but I was unable to find any. In the end, I found a nice diagram
179:
396:
337:
The university of bath has a selection of wavelet descriptions which I think would be interesting. Unfortunately, the use of them is not described well (at all). What do other people think about putting in a link?
140:
319:
The OCaml code is pretty ugly and obscure, I reckon its causing more harm by being distracting than good, especially seeing as this is a math-based article, where pseudocode would be the
605:
573:"the second and third waves are translations of each other, corresponding to being 90° out of phase, like cosine and sine, of which these are discrete versions"
637:, a link to which already exists right next to the decomposition diagram. However, I think this is relevant enough that it should be included in this page.
676:
130:
671:
534:{\displaystyle {\frac {1}{2}}{\begin{bmatrix}1&1&1&1\\1&-i&-1&i\\1&-1&1&-1\\1&i&-1&-i\end{bmatrix}}.}
251:
The equations in this article are all discrete time, while the equations for discrete wavelets in the wavelet article are all continous time.
106:
686:
576:
229:
219:
633:
and learned that I need to process each of the components with a filter, then sum the results together. This knowledge can also be found on
258:
691:
681:
346:
551:
97:
58:
195:
364:
Usually the opposite denotations are used (Mallat, Daubechies): G denotes high-pass filter and H stands for a low-pass one.
609:
323:
appropriate form of representation. If you feel I am in error in deleting it, please give justification for reverting. --
652:
33:
191:
277:
on the state of the wavelet articles. Nothing major has changed about this. -- This page as it is should be named „
186:
163:
580:
369:
21:
262:
350:
555:
626:
365:
306:
39:
83:
648:
570:
The following statement is correct for the removed matrix but not for the current. Or am I misstaken?
341:
640:
601:
547:
254:
194:
on
Knowledge. If you would like to participate, please visit the project page, where you can join
105:
on
Knowledge. If you would like to participate, please visit the project page, where you can join
644:
89:
73:
52:
630:
302:
301:
page, so if it (the OCaml code) turns out to be wrong, it should be changed there too. --
656:
613:
584:
559:
373:
354:
327:
309:
285:
266:
665:
324:
634:
102:
282:
79:
544:
It's either a mistake or a bad formulation, either cases need correction.
178:
157:
627:
http://fourier.eng.hmc.edu/e161/lectures/figures/wavelet_filterbank.gif
274:
342:
http://www.bath.ac.uk/elec-eng/research/sipg/resource/warehouse.htm
298:
15:
631:
http://fourier.eng.hmc.edu/e161/lectures/wavelets/node7.html
620:
Lacking information about
Inverse Discrete Wavelet Transform
380:
Wrong matrix in "Comparison with
Fourier transform" section
598:
that photo description should include this information
384:
It's stated there that the basis of DFT in 4D-case is:
415:
399:
190:, a collaborative effort to improve the coverage of
101:, a collaborative effort to improve the coverage of
273:This is right. See my comments on the talk page at
533:
593:Description from the castle image could be better
566:Error arising from correcting matrix but not text
387:1 1 1 1 1 0 –1 0 0 1 0 –1 1 –1 1 –1
8:
19:
638:
599:
152:
47:
410:
400:
398:
154:
49:
7:
281:“ to account for its main content.--
184:This article is within the scope of
95:This article is within the scope of
38:It is of interest to the following
360:Strange use of denotations G and H
14:
677:Mid-priority mathematics articles
333:University of Bath sipg warehouse
247:Inconsistent with Wavelet Article
115:Knowledge:WikiProject Mathematics
672:Start-Class mathematics articles
279:fast wavelet transform algorithm
177:
156:
118:Template:WikiProject Mathematics
82:
72:
51:
20:
224:This article has been rated as
135:This article has been rated as
560:17:04, 27 September 2011 (UTC)
315:Objective Caml code irrelevant
292:No discussion for disputed tag
286:08:46, 13 September 2007 (UTC)
267:02:41, 13 September 2007 (UTC)
1:
198:and see a list of open tasks.
109:and see a list of open tasks.
687:Low-importance Java articles
657:23:23, 14 January 2020 (UTC)
614:13:34, 9 February 2018 (UTC)
328:16:48, 28 October 2006 (UTC)
708:
355:02:04, 22 March 2008 (UTC)
230:project's importance scale
204:Knowledge:WikiProject Java
692:WikiProject Java articles
682:Start-Class Java articles
606:2A01:388:474:150:0:0:1:B8
585:14:43, 7 April 2015 (UTC)
374:21:54, 22 June 2010 (UTC)
310:14:12, 20 June 2006 (UTC)
223:
207:Template:WikiProject Java
172:
134:
67:
46:
141:project's priority scale
98:WikiProject Mathematics
535:
28:This article is rated
536:
397:
121:mathematics articles
531:
522:
90:Mathematics portal
34:content assessment
659:
643:comment added by
616:
604:comment added by
550:comment added by
408:
269:
257:comment added by
244:
243:
240:
239:
236:
235:
151:
150:
147:
146:
699:
562:
540:
538:
537:
532:
527:
526:
409:
401:
376:Spellbound_mipt
252:
212:
211:
208:
205:
202:
187:WikiProject Java
181:
174:
173:
168:
160:
153:
123:
122:
119:
116:
113:
92:
87:
86:
76:
69:
68:
63:
55:
48:
31:
25:
24:
16:
707:
706:
702:
701:
700:
698:
697:
696:
662:
661:
622:
595:
577:129.247.247.240
568:
545:
521:
520:
512:
504:
499:
493:
492:
484:
479:
471:
465:
464:
459:
451:
443:
437:
436:
431:
426:
421:
411:
395:
394:
388:
382:
366:Spellbound mipt
362:
335:
317:
294:
249:
209:
206:
203:
200:
199:
166:
120:
117:
114:
111:
110:
88:
81:
61:
32:on Knowledge's
29:
12:
11:
5:
705:
703:
695:
694:
689:
684:
679:
674:
664:
663:
629:on this page:
621:
618:
594:
591:
589:
567:
564:
542:
541:
530:
525:
519:
516:
513:
511:
508:
505:
503:
500:
498:
495:
494:
491:
488:
485:
483:
480:
478:
475:
472:
470:
467:
466:
463:
460:
458:
455:
452:
450:
447:
444:
442:
439:
438:
435:
432:
430:
427:
425:
422:
420:
417:
416:
414:
407:
404:
386:
381:
378:
361:
358:
334:
331:
316:
313:
293:
290:
289:
288:
248:
245:
242:
241:
238:
237:
234:
233:
226:Low-importance
222:
216:
215:
213:
196:the discussion
182:
170:
169:
167:Low‑importance
161:
149:
148:
145:
144:
133:
127:
126:
124:
107:the discussion
94:
93:
77:
65:
64:
56:
44:
43:
37:
26:
13:
10:
9:
6:
4:
3:
2:
704:
693:
690:
688:
685:
683:
680:
678:
675:
673:
670:
669:
667:
660:
658:
654:
650:
646:
642:
636:
632:
628:
619:
617:
615:
611:
607:
603:
592:
590:
587:
586:
582:
578:
574:
571:
565:
563:
561:
557:
553:
549:
528:
523:
517:
514:
509:
506:
501:
496:
489:
486:
481:
476:
473:
468:
461:
456:
453:
448:
445:
440:
433:
428:
423:
418:
412:
405:
402:
393:
392:
391:
390:Wrong, it's:
385:
379:
377:
375:
371:
367:
359:
357:
356:
352:
348:
344:
343:
339:
332:
330:
329:
326:
322:
314:
312:
311:
308:
304:
300:
291:
287:
284:
280:
276:
272:
271:
270:
268:
264:
260:
259:70.225.81.131
256:
246:
231:
227:
221:
218:
217:
214:
210:Java articles
197:
193:
189:
188:
183:
180:
176:
175:
171:
165:
162:
159:
155:
142:
138:
132:
129:
128:
125:
108:
104:
100:
99:
91:
85:
80:
78:
75:
71:
70:
66:
60:
57:
54:
50:
45:
41:
35:
27:
23:
18:
17:
639:— Preceding
623:
600:— Preceding
596:
588:
575:
572:
569:
546:— Preceding
543:
389:
383:
363:
347:82.24.171.88
345:
340:
336:
320:
318:
295:
278:
250:
225:
185:
137:Mid-priority
136:
96:
62:Mid‑priority
40:WikiProjects
635:Filter_bank
552:91.79.31.66
303:Steve Pucci
253:—Preceding
112:Mathematics
103:mathematics
59:Mathematics
30:Start-class
666:Categories
653:contribs
641:unsigned
602:unsigned
548:unsigned
325:Dreddlox
255:unsigned
275:wavelet
228:on the
139:on the
645:Mraagh
36:scale.
299:OCaml
283:LutzL
649:talk
610:talk
581:talk
556:talk
370:talk
351:talk
321:most
307:talk
297:the
263:talk
201:Java
192:Java
164:Java
220:Low
131:Mid
668::
655:)
651:•
612:)
583:)
558:)
515:−
507:−
487:−
474:−
454:−
446:−
372:)
353:)
305:|
265:)
647:(
608:(
579:(
554:(
529:.
524:]
518:i
510:1
502:i
497:1
490:1
482:1
477:1
469:1
462:i
457:1
449:i
441:1
434:1
429:1
424:1
419:1
413:[
406:2
403:1
368:(
349:(
261:(
232:.
143:.
42::
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.