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Lambertian reflectance

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273: 31: 128: 214:. This technique causes all closed polygons (such as a triangle within a 3D mesh) to reflect light equally in all directions when rendered. The reflection decreases when the surface is tilted away from being perpendicular to the light source, however, because the area is illuminated by a smaller fraction of the incident radiation. 536:), where the surface luminance is highest when the observer is situated at the perfect reflection direction (i.e. where the direction of the reflected light is a reflection of the direction of the incident light in the surface), and falls off sharply. 498: 524:
is the angle between the directions of the two vectors, the brightness will be highest if the surface is perpendicular to the light vector, and lowest if the light vector intersects the surface at a grazing angle.
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in each direction. When viewed from various angles, the reflected radiant intensity and the apparent area of the surface both vary with the cosine of the viewing angle, so the reflected
761: 411: 267: 245: 522: 364: 384: 269:, pointing from the surface to the light source. This number is then multiplied by the color of the surface and the intensity of the light hitting the surface: 192:. Though not all rough surfaces are Lambertian, this is often a good approximation, and is frequently used when the characteristics of the surface are unknown. 154:
surface. The apparent brightness of a Lambertian surface to an observer is the same regardless of the observer's angle of view. More precisely, the reflected
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While Lambertian reflectance usually refers to the reflection of light by an object, it can be used to refer to the reflection of any wave. For example, in
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Unfinished wood exhibits roughly Lambertian reflectance, but wood finished with a glossy coat of
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is a material which is designed to exhibit an almost perfect Lambertian reflectance.
155: 136: 612: 766: 717: 701: 590: 562: 594: 493:{\displaystyle \mathbf {L} \cdot \mathbf {N} =|N||L|\cos {\alpha }=\cos {\alpha }} 658: 690:"GPU-Based Simulation of Ultrasound Imaging Artifacts for Cryosurgery Training" 664: 689: 745: 713: 705: 222: 629:
Light Scattering Technology for Food Property, Quality and Safety Assessment
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Lambertian reflection from polished surfaces is typically accompanied by
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Diagram of Lambertian diffuse reflection. The black arrow shows incident
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Model for determining radiant energy reflected off diffuse surfaces
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the same in all directions. Lambertian reflectance is named after
328:{\displaystyle B_{D}=\mathbf {L} \cdot \mathbf {N} CI_{\text{L}}} 660:
Interactive Computer Graphics: A Top-Down Approach Using OpenGL
548:, "rough" tissues are said to exhibit Lambertian reflectance. 143:(intensity per unit area) is the same from all viewing angles. 127: 688:
Keelan, Robert; Shimada, Kenji; Rabin, Yoed (2016-06-23).
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Scattering, absorption and radiative transfer (optics)
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Ikeuchi, Katsushi (2014). "Lambertian Reflectance".
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is the brightness of the diffusely reflected light,
55:. Unsourced material may be challenged and removed. 687: 516: 492: 405: 378: 358: 327: 261: 239: 150:is the property that defines an ideal "matte" or 743: 413:is the intensity of the incoming light. Because 694:Technology in Cancer Research & Treatment 580: 578: 247:, and a normalized light-direction vector, 217:The reflection is calculated by taking the 201: 188:does not, since the glossy coating creates 721: 115:Learn how and when to remove this message 575: 271: 135:, and the red arrows show the reflected 126: 584: 744: 656: 53:adding citations to reliable sources 24: 13: 625: 14: 778: 558:List of common shading algorithms 432: 424: 308: 300: 255: 233: 29: 587:Encyclopedia of Computer Vision 40:needs additional citations for 681: 650: 619: 589:. Springer. pp. 441–443. 539: 461: 453: 448: 440: 1: 595:10.1007/978-0-387-31439-6_534 568: 406:{\displaystyle I_{\text{L}}} 262:{\displaystyle \mathbf {L} } 240:{\displaystyle \mathbf {N} } 162:, which makes the reflected 7: 551: 179: 10: 783: 18: 706:10.1177/1533034615623062 202:Use in computer graphics 64:"Lambertian reflectance" 517:{\displaystyle \alpha } 168:Johann Heinrich Lambert 657:Angel, Edward (2003). 518: 494: 407: 380: 360: 329: 276: 263: 241: 221:of the surface's unit 148:Lambertian reflectance 144: 519: 495: 408: 381: 361: 359:{\displaystyle B_{D}} 330: 275: 264: 242: 130: 508: 420: 390: 370: 343: 283: 251: 229: 160:Lambert's cosine law 152:diffusely reflecting 49:improve this article 21:Lambert's cosine law 530:specular reflection 190:specular highlights 663:(third ed.). 626:Lu, Renfu (2016). 546:ultrasound imaging 514: 490: 403: 376: 356: 325: 277: 259: 237: 212:diffuse reflection 145: 674:978-0-321-31252-5 604:978-0-387-30771-8 400: 386:is the color and 379:{\displaystyle C} 322: 208:computer graphics 156:radiant intensity 137:radiant intensity 125: 124: 117: 99: 774: 736: 735: 725: 685: 679: 678: 654: 648: 647: 623: 617: 616: 582: 563:Gamma correction 523: 521: 520: 515: 499: 497: 496: 491: 489: 475: 464: 456: 451: 443: 435: 427: 412: 410: 409: 404: 402: 401: 398: 385: 383: 382: 377: 365: 363: 362: 357: 355: 354: 334: 332: 331: 326: 324: 323: 320: 311: 303: 295: 294: 268: 266: 265: 260: 258: 246: 244: 243: 238: 236: 120: 113: 109: 106: 100: 98: 57: 33: 25: 782: 781: 777: 776: 775: 773: 772: 771: 742: 741: 740: 739: 686: 682: 675: 655: 651: 644: 624: 620: 605: 583: 576: 571: 554: 542: 509: 506: 505: 485: 471: 460: 452: 447: 439: 431: 423: 421: 418: 417: 397: 393: 391: 388: 387: 371: 368: 367: 350: 346: 344: 341: 340: 319: 315: 307: 299: 290: 286: 284: 281: 280: 254: 252: 249: 248: 232: 230: 227: 226: 204: 182: 121: 110: 104: 101: 58: 56: 46: 34: 23: 17: 12: 11: 5: 780: 770: 769: 764: 759: 754: 738: 737: 680: 673: 665:Addison-Wesley 649: 642: 636:. p. 26. 618: 603: 573: 572: 570: 567: 566: 565: 560: 553: 550: 541: 538: 513: 502: 501: 488: 484: 481: 478: 474: 470: 467: 463: 459: 455: 450: 446: 442: 438: 434: 430: 426: 396: 375: 353: 349: 337: 336: 318: 314: 310: 306: 302: 298: 293: 289: 257: 235: 203: 200: 181: 178: 123: 122: 37: 35: 28: 15: 9: 6: 4: 3: 2: 779: 768: 765: 763: 760: 758: 755: 753: 750: 749: 747: 733: 729: 724: 719: 715: 711: 707: 703: 699: 695: 691: 684: 676: 670: 666: 662: 661: 653: 645: 643:9781482263350 639: 635: 631: 630: 622: 614: 610: 606: 600: 596: 592: 588: 581: 579: 574: 564: 561: 559: 556: 555: 549: 547: 537: 535: 531: 526: 511: 486: 482: 479: 476: 472: 468: 465: 457: 444: 436: 428: 416: 415: 414: 394: 373: 351: 347: 316: 312: 304: 296: 291: 287: 279: 278: 274: 270: 224: 223:normal vector 220: 215: 213: 209: 199: 197: 193: 191: 187: 177: 175: 174: 169: 165: 161: 157: 153: 149: 142: 138: 134: 129: 119: 116: 108: 97: 94: 90: 87: 83: 80: 76: 73: 69: 66: –  65: 61: 60:Find sources: 54: 50: 44: 43: 38:This article 36: 32: 27: 26: 22: 697: 693: 683: 659: 652: 628: 621: 586: 543: 527: 503: 338: 216: 205: 194: 186:polyurethane 183: 171: 147: 146: 111: 102: 92: 85: 78: 71: 59: 47:Please help 42:verification 39: 700:(1): 5–14. 540:Other waves 219:dot product 173:Photometria 757:Photometry 752:Radiometry 746:Categories 569:References 196:Spectralon 75:newspapers 19:See also: 714:1533-0346 634:CRC Press 512:α 487:α 483:⁡ 473:α 469:⁡ 429:⋅ 305:⋅ 732:26818026 613:11390799 552:See also 180:Examples 164:radiance 141:radiance 133:radiance 105:May 2017 767:Shading 723:5616109 89:scholar 730:  720:  712:  671:  640:  611:  601:  504:where 339:where 158:obeys 91:  84:  77:  70:  62:  609:S2CID 534:gloss 96:JSTOR 82:books 728:PMID 710:ISSN 669:ISBN 638:ISBN 599:ISBN 68:news 718:PMC 702:doi 591:doi 480:cos 466:cos 206:In 51:by 748:: 726:. 716:. 708:. 698:16 696:. 692:. 667:. 632:. 607:. 597:. 577:^ 225:, 176:. 734:. 704:: 677:. 646:. 615:. 593:: 532:( 500:, 477:= 462:| 458:L 454:| 449:| 445:N 441:| 437:= 433:N 425:L 399:L 395:I 374:C 352:D 348:B 335:, 321:L 317:I 313:C 309:N 301:L 297:= 292:D 288:B 256:L 234:N 118:) 112:( 107:) 103:( 93:· 86:· 79:· 72:· 45:.

Index

Lambert's cosine law

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radiance
radiant intensity
radiance
diffusely reflecting
radiant intensity
Lambert's cosine law
radiance
Johann Heinrich Lambert
Photometria
polyurethane
specular highlights
Spectralon
computer graphics
diffuse reflection
dot product
normal vector

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