Knowledge

Picture plane

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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
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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.
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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
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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:
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Greenberg seems to be referring to the way painting relates to the picture plane in both the modern period and the "Old Master" period.
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Thus is obtained a new figure composed of straights and planes, all on M, and called an 'eject' of the original."
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A well-known phrase has accompanied many discussions of painting during the period of
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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
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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

Index

Graphical projection

Planar
Parallel projection
Orthographic projection
Isometric projection
Oblique projection
Perspective projection
Curvilinear perspective
Reverse perspective
Bird's-eye view
Cross section
Cutaway drawing
Exploded view drawing
Fisheye lens
Multiviews
Panorama
Worm's-eye view
Zoom lens
3D projection
Anamorphosis
Axonometry
Computer graphics
Computer-aided design
Descriptive geometry
Engineering drawing
Map projection
Picture plane
Plans (drawings)
Projection (linear algebra)

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