33:
396:
858:
408:
The orientation of the picture plane is always perpendicular of the axis that comes straight out of your eyes. For example, if you are looking to a building that is in front of you and your eyesight is entirely horizontal then the picture plane is perpendicular to the ground and to the axis of your
412:
If you are looking up or down, then the picture plane remains perpendicular to your sight and it changes the 90 degrees angle compared to the ground. When this happens a third vanishing point will appear in most cases depending on what you are seeing (or drawing).
783:"The Old Masters had sensed that it was necessary to preserve what is called the integrity of the picture plane: that is, to signify the enduring presence of flatness underneath and above the most vivid illusion of three-dimensional space."
673:
758:
Thus is obtained a new figure composed of straights and points, all on μ, and called a 'cut' of the subject. If the subject is an eject of an original, the cut of the subject is an 'image' of the original.
592:
515:
756:
399:
The technique for creating a basic two-point perspective drawing, including the sight rays, the picture plane, the left and right vanishing point construction lines, the horizon line, and the ground line
779:
has come to denote how the flat surface of the physical painting functions in older as opposed to more recent works. That phrase is found in the following sentence in his essay:
604:
597:"To 'cut' by a fixed plane μ (the picture-plane) a figure, the 'subject' made up of planes β, γ, δ, etc., and straights
520:
443:
787:
Greenberg seems to be referring to the way painting relates to the picture plane in both the modern period and the "Old Master" period.
678:
322:) and the object being viewed and is usually coextensive to the material surface of the work. It is ordinarily a vertical plane
896:
837:
594:
Thus is obtained a new figure composed of straights and planes, all on M, and called an 'eject' of the original."
916:
279:
211:
921:
108:
356:γ and a picture plane π... The line of intersection of π and γ is called the
78:
73:
54:
668:{\displaystyle {\overline {\mu \beta }},\ {\overline {\mu \gamma }},\ {\overline {\mu \delta }}}
801:
339:
301:
181:
118:
348:
305:
186:
128:
59:
24:
874:
8:
272:
246:
221:
191:
83:
49:
138:
103:
66:
767:
A well-known phrase has accompanied many discussions of painting during the period of
833:
772:
231:
176:
42:
806:
216:
206:
885:
900:
825:
385:
251:
241:
113:
389:
265:
196:
910:
862:
848:
421:
323:
318:
161:
166:
123:
796:
313:
297:
236:
226:
32:
768:
587:{\displaystyle {\overline {Mb}},\ {\overline {Mc}},\ {\overline {Md}}.}
510:{\displaystyle {\overline {MB}},\ {\overline {MC}},\ {\overline {MD}},}
432:(the 'projection vertex') a figure, the 'original', composed of points
171:
395:
327:
143:
293:
133:
861:
This article incorporates text from this source, which is in the
751:{\displaystyle {\dot {\mu b}},\ {\dot {\mu c}},\ {\dot {\mu d}}.}
381:
364:. ... the orthogonal projection of O upon π is called the
775:
in his essay called "Modernist
Painting", the phrase
681:
607:
523:
446:
897:
Perspective and
Projective Geometries: A Comparison
750:
667:
586:
509:
762:
440:etc., is to construct the 'projecting straights'
908:
352:), a horizontal plane of reference called the
875:The case against wall fodder, by Alec Clayton
273:
372:parallel to the ground line is called the
280:
266:
394:
342:the picture plane has several features:
886:Clement Greenberg, "Modernist Painting"
771:. Coined by the influential art critic
424:included the picture plane in his book
909:
316:located between the "eye point" (or
601:, etc., is to construct the meets
428:: "To 'project' from a fixed point
13:
416:
14:
933:
856:
777:"integrity of the picture plane"
31:
346:Given are an eye point O (from
879:
868:
842:
819:
763:Integrity of the picture plane
1:
895:James C. Morehead Jr. (1911)
853:Synthetic Projective Geometry
812:
517:and the 'projecting planes'
426:Synthetic Projective Geometry
660:
639:
618:
576:
555:
534:
499:
478:
457:
7:
790:
403:
366:principal vanishing point P
333:
330:to the object of interest.
212:Projection (linear algebra)
10:
938:
79:Curvilinear perspective
55:Orthographic projection
917:Perspective projection
802:Perspective projection
752:
669:
588:
511:
400:
74:Perspective projection
832:, p. xxix, Springer,
753:
670:
589:
512:
398:
340:graphical perspective
302:graphical perspective
182:Computer-aided design
119:Exploded view drawing
679:
605:
521:
444:
384:frequently features
368:...The line through
338:In the technique of
306:descriptive geometry
187:Descriptive geometry
60:Isometric projection
25:Graphical projection
436:etc. and straights
392:in the foreground.
388:of lines appearing
247:Video game graphics
222:Projective geometry
192:Engineering drawing
84:Reverse perspective
50:Parallel projection
19:Part of a series on
830:Geometry of an Art
748:
665:
584:
507:
401:
67:Oblique projection
922:Planes (geometry)
773:Clement Greenberg
742:
727:
719:
704:
696:
663:
649:
642:
628:
621:
579:
565:
558:
544:
537:
502:
488:
481:
467:
460:
290:
289:
232:Technical drawing
177:Computer graphics
929:
888:
883:
877:
872:
866:
860:
859:
846:
840:
823:
807:Projection plane
757:
755:
754:
749:
744:
743:
738:
730:
725:
721:
720:
715:
707:
702:
698:
697:
692:
684:
674:
672:
671:
666:
664:
659:
651:
647:
643:
638:
630:
626:
622:
617:
609:
593:
591:
590:
585:
580:
575:
567:
563:
559:
554:
546:
542:
538:
533:
525:
516:
514:
513:
508:
503:
498:
490:
486:
482:
477:
469:
465:
461:
456:
448:
386:vanishing points
282:
275:
268:
217:Projection plane
207:Plans (drawings)
35:
16:
15:
937:
936:
932:
931:
930:
928:
927:
926:
907:
906:
901:Rice University
892:
891:
884:
880:
873:
869:
857:
847:
843:
826:Kirsti Andersen
824:
820:
815:
793:
765:
731:
729:
728:
708:
706:
705:
685:
683:
682:
680:
677:
676:
652:
650:
631:
629:
610:
608:
606:
603:
602:
568:
566:
547:
545:
526:
524:
522:
519:
518:
491:
489:
470:
468:
449:
447:
445:
442:
441:
419:
417:Cut of an eject
406:
336:
286:
257:
256:
252:Viewing frustum
242:Vanishing point
157:
149:
148:
139:Worm's-eye view
114:Cutaway drawing
104:Bird's-eye view
99:
91:
90:
45:
12:
11:
5:
935:
925:
924:
919:
905:
904:
890:
889:
878:
867:
841:
817:
816:
814:
811:
810:
809:
804:
799:
792:
789:
764:
761:
747:
741:
737:
734:
724:
718:
714:
711:
701:
695:
691:
688:
662:
658:
655:
646:
641:
637:
634:
625:
620:
616:
613:
583:
578:
574:
571:
562:
557:
553:
550:
541:
536:
532:
529:
506:
501:
497:
494:
485:
480:
476:
473:
464:
459:
455:
452:
418:
415:
405:
402:
378:
377:
335:
332:
288:
287:
285:
284:
277:
270:
262:
259:
258:
255:
254:
249:
244:
239:
234:
229:
224:
219:
214:
209:
204:
199:
197:Map projection
194:
189:
184:
179:
174:
169:
164:
158:
155:
154:
151:
150:
147:
146:
141:
136:
131:
126:
121:
116:
111:
106:
100:
97:
96:
93:
92:
89:
88:
87:
86:
81:
71:
70:
69:
64:
63:
62:
46:
41:
40:
37:
36:
28:
27:
21:
20:
9:
6:
4:
3:
2:
934:
923:
920:
918:
915:
914:
912:
902:
898:
894:
893:
887:
882:
876:
871:
864:
863:public domain
854:
850:
849:G. B. Halsted
845:
839:
838:0-387-25961-9
835:
831:
827:
822:
818:
808:
805:
803:
800:
798:
795:
794:
788:
785:
784:
780:
778:
774:
770:
760:
745:
739:
735:
732:
722:
716:
712:
709:
699:
693:
689:
686:
656:
653:
644:
635:
632:
623:
614:
611:
600:
595:
581:
572:
569:
560:
551:
548:
539:
530:
527:
504:
495:
492:
483:
474:
471:
462:
453:
450:
439:
435:
431:
427:
423:
422:G. B. Halsted
414:
410:
397:
393:
391:
387:
383:
375:
371:
367:
363:
359:
355:
351:
350:
345:
344:
343:
341:
331:
329:
325:
324:perpendicular
321:
320:
315:
311:
310:picture plane
307:
303:
299:
295:
283:
278:
276:
271:
269:
264:
263:
261:
260:
253:
250:
248:
245:
243:
240:
238:
235:
233:
230:
228:
225:
223:
220:
218:
215:
213:
210:
208:
205:
203:
202:Picture plane
200:
198:
195:
193:
190:
188:
185:
183:
180:
178:
175:
173:
170:
168:
165:
163:
162:3D projection
160:
159:
153:
152:
145:
142:
140:
137:
135:
132:
130:
127:
125:
122:
120:
117:
115:
112:
110:
109:Cross section
107:
105:
102:
101:
95:
94:
85:
82:
80:
77:
76:
75:
72:
68:
65:
61:
58:
57:
56:
53:
52:
51:
48:
47:
44:
39:
38:
34:
30:
29:
26:
23:
22:
18:
17:
881:
870:
852:
844:
829:
821:
786:
782:
781:
776:
766:
598:
596:
437:
433:
429:
425:
420:
411:
407:
379:
373:
369:
365:
361:
360:and denoted
357:
354:ground plane
353:
347:
337:
317:
309:
291:
201:
167:Anamorphosis
124:Fisheye lens
797:Image plane
675:and passes
358:ground line
314:image plane
298:photography
237:True length
227:Stereoscopy
911:Categories
855:, page 10
813:References
172:Axonometry
129:Multiviews
769:modernism
740:˙
733:μ
717:˙
710:μ
694:˙
687:μ
661:¯
657:δ
654:μ
640:¯
636:γ
633:μ
619:¯
615:β
612:μ
577:¯
556:¯
535:¯
500:¯
479:¯
458:¯
328:sightline
144:Zoom lens
791:See also
404:Position
390:parallel
334:Features
294:painting
134:Panorama
851:(1906)
828:(2007)
599:b, c, d
438:b, c, d
434:B, C, D
409:sight.
382:horizon
374:horizon
326:to the
836:
726:
703:
648:
627:
564:
543:
487:
466:
349:oculus
319:oculus
312:is an
156:Topics
43:Planar
899:from
98:Views
834:ISBN
380:The
308:, a
304:and
292:In
913::
376:HZ
362:GR
300:,
296:,
903:.
865:.
746:.
736:d
723:,
713:c
700:,
690:b
645:,
624:,
582:.
573:d
570:M
561:,
552:c
549:M
540:,
531:b
528:M
505:,
496:D
493:M
484:,
475:C
472:M
463:,
454:B
451:M
430:M
370:P
281:e
274:t
267:v
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.