20:
178:: A sequence B (b1, b2, ..., bk) of boundary pixels i.e. the contour. Define M(a) to be the Moore neighborhood of pixel a. Let p denote the current boundary pixel. Let c denote the current pixel under consideration i.e. c is in M(p). Let b denote the backtrack of c (i.e. neighbor pixel of p that was previously tested)
283:
The original termination condition was to stop after visiting the start pixel for the second time. This limits the set of contours the algorithm will walk completely. An improved stopping condition proposed by Jacob
Eliosoff is to stop after entering the start pixel for the second time in the same
156:
The idea behind the formulation of Moore neighborhood is to find the contour of a given graph. This idea was a great challenge for most analysts of the 18th century, and as a result an algorithm was derived from the
131:
373:
85:
The concept can be extended to higher dimensions, for example forming a 26-cell cubic neighborhood for a cellular automaton in three dimensions, as used by
366:
529:
405:
488:
410:
359:
470:
445:
425:
420:
460:
440:
493:
450:
480:
400:
293:
664:
508:
465:
19:
435:
534:
415:
351:
308:
96:
60:
382:
64:
23:
The Moore neighborhood is composed of nine cells: a central cell and the eight cells which surround it.
642:
587:
503:
386:
79:
322:
72:
28:
550:
48:
298:
602:
592:
570:
325:
36:
257:(advance the current pixel c to the next clockwise pixel in M(p) and update backtrack)
658:
635:
59:
It is one of the two most commonly used neighborhood types, the other one being the
556:
430:
597:
455:
158:
68:
174:: A square tessellation, T, containing a connected component P of black cells.
563:
303:
165:
341:
330:
247:(backtrack: move the current pixel c to the pixel from which p was entered)
67:, for example, uses the Moore neighborhood. It is similar to the notion of
39:
and is composed of a central cell and the eight cells that surround it.
618:
78:
The Moore neighbourhood of a cell is the cell itself and the cells at a
86:
498:
18:
16:
Cellular automaton neighborhood consisting of eight adjacent cells
221:
b = the pixel from which s was entered during the image scan.
355:
161:
346:
133:, the size of the neighborhood is 3 − 1.
225:c to be the next clockwise pixel (from b) in M(p).
99:
209:a black pixel, s, of P is found. Insert s in B.
627:
611:
580:
543:
517:
479:
393:
63:, which excludes the corner cells. The well known
125:
266:c = next clockwise pixel (from b) in M(p).
252:c = next clockwise pixel (from b) in M(p).
367:
136:In two dimensions, the number of cells in an
8:
168:for the Moore-Neighbor tracing algorithm is
51:, a pioneer of cellular automata theory.
374:
360:
352:
126:{\displaystyle 0\leq d,d\in \mathbb {Z} }
119:
118:
98:
284:direction you originally entered it.
7:
14:
237:black insert c in B
47:The neighborhood is named after
35:is defined on a two-dimensional
1:
213:the current boundary point p
140:Moore neighbourhood of range
294:Neighbourhood (graph theory)
681:
205:right scan the cells of T
535:Von Neumann neighborhood
309:Von Neumann neighborhood
229:c not equal to s do
61:von Neumann neighborhood
342:The Moore neighborhood
127:
24:
383:Conway's Game of Life
279:Termination condition
128:
65:Conway's Game of Life
22:
326:"Moore Neighborhood"
97:
525:Moore neighborhood
504:Life without Death
323:Weisstein, Eric W.
123:
80:Chebyshev distance
33:Moore neighborhood
25:
665:Cellular automata
652:
651:
387:cellular automata
148: + 1).
73:computer graphics
29:cellular automata
672:
376:
369:
362:
353:
336:
335:
132:
130:
129:
124:
122:
680:
679:
675:
674:
673:
671:
670:
669:
655:
654:
653:
648:
628:Popular culture
623:
607:
576:
544:Implementations
539:
513:
475:
389:
380:
321:
320:
317:
290:
281:
276:
154:
95:
94:
89:. In dimension
57:
49:Edward F. Moore
45:
17:
12:
11:
5:
678:
676:
668:
667:
657:
656:
650:
649:
647:
646:
639:
631:
629:
625:
624:
622:
621:
615:
613:
609:
608:
606:
605:
600:
595:
593:Martin Gardner
590:
584:
582:
578:
577:
575:
574:
571:Anonymous;Code
567:
560:
553:
547:
545:
541:
540:
538:
537:
532:
530:Speed of light
527:
521:
519:
515:
514:
512:
511:
506:
501:
496:
491:
485:
483:
477:
476:
474:
473:
468:
463:
458:
453:
448:
443:
438:
433:
428:
423:
418:
413:
408:
406:Garden of Eden
403:
397:
395:
391:
390:
381:
379:
378:
371:
364:
356:
350:
349:
337:
316:
313:
312:
311:
306:
301:
296:
289:
286:
280:
277:
170:
153:
150:
121:
117:
114:
111:
108:
105:
102:
56:
53:
44:
41:
37:square lattice
15:
13:
10:
9:
6:
4:
3:
2:
677:
666:
663:
662:
660:
645:
644:
640:
638:
637:
633:
632:
630:
626:
620:
617:
616:
614:
610:
604:
601:
599:
596:
594:
591:
589:
586:
585:
583:
579:
573:
572:
568:
566:
565:
561:
559:
558:
554:
552:
549:
548:
546:
542:
536:
533:
531:
528:
526:
523:
522:
520:
516:
510:
507:
505:
502:
500:
497:
495:
492:
490:
489:Day and Night
487:
486:
484:
482:
481:Life variants
478:
472:
469:
467:
464:
462:
459:
457:
454:
452:
449:
447:
444:
442:
439:
437:
434:
432:
429:
427:
424:
422:
419:
417:
414:
412:
409:
407:
404:
402:
399:
398:
396:
392:
388:
384:
377:
372:
370:
365:
363:
358:
357:
354:
348:
347:cell-auto.com
344:
343:
338:
333:
332:
327:
324:
319:
318:
314:
310:
307:
305:
302:
300:
297:
295:
292:
291:
287:
285:
278:
275:
272:
269:
265:
261:
258:
255:
251:
248:
244:
240:
236:
232:
228:
224:
220:
217:s i.e. p=s
216:
212:
208:
204:
200:
196:
192:
188:
184:
181:
177:
173:
169:
167:
162:
160:
151:
149:
147:
143:
139:
134:
115:
112:
109:
106:
103:
100:
92:
88:
83:
81:
76:
74:
70:
66:
62:
54:
52:
50:
42:
40:
38:
34:
30:
21:
641:
634:
569:
562:
557:Life Genesis
555:
524:
431:Puffer train
385:and related
340:
339:Tyler, Tim,
329:
299:King's graph
282:
273:
270:
267:
263:
262:b = c
259:
256:
253:
249:
246:
245:p = c
242:
241:b = p
238:
234:
230:
226:
222:
218:
214:
210:
206:
202:
198:
194:
190:
189:be empty.
186:
182:
179:
175:
171:
163:
155:
145:
141:
137:
135:
90:
84:
77:
58:
46:
32:
26:
603:Richard Guy
598:Bill Gosper
588:John Conway
456:Spacefiller
159:Moore graph
69:8-connected
581:Key people
564:Video Life
471:Still life
446:Replicator
426:Oscillator
421:Methuselah
394:Structures
315:References
304:Chain code
166:pseudocode
144:is (2
71:pixels in
55:Importance
461:Spaceship
441:Reflector
331:MathWorld
271:end While
152:Algorithm
116:∈
104:≤
659:Category
619:LifeWiki
612:Websites
518:Concepts
494:Highlife
451:Sawtooth
288:See also
138:extended
401:Breeder
193:bottom
87:3D Life
411:Glider
268:end If
176:Output
93:where
82:of 1.
31:, the
636:Bloom
551:Golly
509:Seeds
499:Lenia
466:Spark
227:While
207:until
201:left
180:Begin
172:Input
643:Wake
436:Rake
254:else
197:top
191:From
164:The
43:Name
416:Gun
345:at
274:End
264:Let
260:Let
250:Let
243:Let
239:Let
223:Set
219:Let
211:Set
199:and
183:Set
27:In
661::
328:.
235:is
233:c
231:If
215:to
203:to
195:to
187:to
185:B
91:d,
75:.
375:e
368:t
361:v
334:.
146:r
142:r
120:Z
113:d
110:,
107:d
101:0
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
