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Diffuse reflection

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147:, as illustrated in Figure 1. If one were to imagine that the figure represents snow, and that the polygons are its (transparent) ice crystallites, an impinging ray is partially reflected (a few percent) by the first particle, enters in it, is again reflected by the interface with the second particle, enters in it, impinges on the third, and so on, generating a series of "primary" scattered rays in random directions, which, in turn, through the same mechanism, generate a large number of "secondary" scattered rays, which generate "tertiary" rays, and so forth. All these rays walk through the snow crystallites, which do not absorb light, until they arrive at the surface and exit in random directions. The result is that the light that was sent out is returned in all directions, so that snow is white despite being made of transparent material (ice crystals). 128: 116: 27: 158:: one can describe them as made of a 3D mosaic of small, irregularly shaped defective crystals. Organic materials are usually composed of fibers or cells, with their membranes and their complex internal structure. And each interface, inhomogeneity or imperfection can deviate, reflect or scatter light, reproducing the above mechanism. 202:
Most materials can give some specular reflection, provided that their surface can be polished to eliminate irregularities comparable with the light wavelength (a fraction of a micrometer). Depending on the material and surface roughness, reflection may be mostly specular, mostly diffuse, or anywhere
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And, when a colored object has both diffuse and specular reflection, usually only the diffuse component is colored. A cherry reflects diffusely red light, absorbs all other colors and has a specular reflection which is essentially white (if the incident light is white light). This is quite general,
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For simplicity, "reflections" are spoken of here, but more generally the interface between the small particles that constitute many materials is irregular on a scale comparable with light wavelength, so diffuse light is generated at each interface, rather than a single reflected ray, but the story
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Diffusion affects the color of objects in a substantial manner because it determines the average path of light in the material, and hence to which extent the various wavelengths are absorbed. Red ink looks black when it stays in its bottle. Its vivid color is only perceived when it is placed on a
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specular reflection. Among common materials, only polished metals can reflect light specularly with high efficiency, as in aluminum or silver usually used in mirrors. All other common materials, even when perfectly polished, usually give not more than a few percent specular reflection, except in
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Diffuse reflection from solids is generally not due to surface roughness. A flat surface is indeed required to give specular reflection, but it does not prevent diffuse reflection. A piece of highly polished white marble remains white; no amount of polishing will turn it into a mirror. Polishing
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scattering material (e.g. paper). This is so because light's path through the paper fibers (and through the ink) is only a fraction of millimeter long. However, light from the bottle has crossed several centimeters of ink and has been heavily absorbed, even in its red wavelengths.
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Up to this point white objects have been discussed, which do not absorb light. But the above scheme continues to be valid in the case that the material is absorbent. In this case, diffused rays will lose some wavelengths during their walk in the material, and will emerge colored.
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The vast majority of visible objects are seen primarily by diffuse reflection from their surface. Exceptions include objects with polished (specularly reflecting) surfaces, and objects that themselves emit light.
287:. In real life terms what this means is that light is reflected off non-shiny surfaces such as the ground, walls, or fabric, to reach areas not directly in view of a light source. If the diffuse surface is 107:
The visibility of objects, excluding light-emitting ones, is primarily caused by diffuse reflection of light: it is diffusely-scattered light that forms the image of the object in the observer's eye.
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reflected from an object strikes other objects in the surrounding area, illuminating them. Diffuse interreflection specifically describes light reflected from objects which are not shiny or
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Few materials do not cause diffuse reflection: among these are metals, which do not allow light to enter; gases, liquids, glass, and transparent plastics (which have a liquid-like
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in between. A few materials, like liquids and glasses, lack the internal subdivisions which produce the subsurface scattering mechanism described above, and so give
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of a glass prism, or when structured in certain complex configurations such as the silvery skin of many fish species or the reflective surface of a
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can be used to determine the absorption spectra of powdered samples in cases where transmission spectroscopy is not feasible. This applies to
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This mechanism is very general, because almost all common materials are made of "small things" held together. Mineral materials are generally
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Fuller, Michael P.; Griffiths, Peter R. (1978). "Diffuse reflectance measurements by infrared Fourier transform spectrometry".
222:. Diffuse reflection can be highly efficient, as in white materials, due to the summing up of the many subsurface reflections. 104:, reflects light diffusely with great efficiency. Many common materials exhibit a mixture of specular and diffuse reflection. 389: 322: 209: 584: 348: 318: 303: 343: 177:
of an eye. These materials can reflect diffusely, however, if their surface is microscopically rough, like in a
17: 169:, such as some gems or a salt crystal; and some very special materials, such as the tissues which make the 614: 464:
Or, if the object is thin, it can exit from the opposite surface, giving diffuse transmitted light.
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A surface may also exhibit both specular and diffuse reflection, as is the case, for example, of
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produces some specular reflection, but the remaining light continues to be diffusely reflected.
291:, the reflected light is also colored, resulting in similar coloration of surrounding objects. 144: 86: 78: 295: 244: 46: 8: 299: 261: 70: 139:
The most general mechanism by which a surface gives diffuse reflection does not involve
243:, which varies little with the wavelength (though it is this variation that causes the 31: 302:. There are a number of ways to model diffuse interreflection when rendering a scene. 590: 580: 557: 385: 338: 219: 619: 549: 240: 214: 195:
as used in home painting, which give also a fraction of specular reflection, while
181:(Figure 2), or, of course, if their homogeneous structure deteriorates, as in 491: 444: 420: 196: 155: 119:
Figure 1 â€“ General mechanism of diffuse reflection by a solid surface (
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because, except for metals, the reflectivity of most materials depends on their
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SIGGRAPH ’93 Proceedings, J. T. Kajiya, Ed., vol. 27, pp. 165–174
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Diffuse and specular reflection from a glossy surface. The rays represent
178: 166: 553: 120: 62: 162: 127: 115: 82: 54: 251:), so that all colors are reflected nearly with the same intensity. 284: 182: 131:
Figure 2 â€“ Diffuse reflection from an irregular surface
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Only primary and secondary rays are represented in the figure.
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Reflection from layered surfaces due to subsurface scattering
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Photoelectric sensors and controls: selection and application
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Reflectance spectroscopy Principles, methods, applications
298:, diffuse interreflection is an important component of 268:
for the white color of the water droplets in clouds.
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A surface built from a non-absorbing powder such as
521:(1926). "Light Scattering by Inhomogeneous Media". 438:
Proceedings of ACM SIGGRAPH 2001', pp. 511–518
199:paints give almost exclusively diffuse reflection. 264:is responsible for the blue color of the sky, and 143:the surface: most of the light is contributed by 606: 517: 434:A practical model for subsurface light transport 69:rather than at just one angle as in the case of 23:Reflection with light scattered at random angles 539: 77:diffuse reflecting surface is said to exhibit 377: 85:when viewed from all directions lying in the 502: 96:, or from fibers such as paper, or from a 16:For reflection of charged particles, see 533: 254: 126: 114: 25: 568: 475:Ein Beitrag zur Optik der Farbanstriche 607: 574: 484:The Kubelka-Munk Theory of Reflectance 145:scattering centers beneath the surface 13: 271: 225: 14: 631: 473:Paul Kubelka, Franz Munk (1931), 408:P.Hanrahan and W.Krueger (1993), 511: 496: 398:from the original on 2018-01-14. 319:Diffuse reflectance spectroscopy 38:for an ideal diffuse reflector. 344:List of reflected light sources 313: 310:are two commonly used methods. 467: 458: 449: 426: 402: 371: 81:, meaning that there is equal 18:Scattering from rough surfaces 1: 364: 212:reflection by a lake, or the 349:Oren–Nayar reflectance model 110: 34:, which varies according to 7: 477:, Zeits. f. Techn. Physik, 332: 61:incident on the surface is 57:from a surface such that a 10: 636: 432:H.W.Jensen et al. (2001), 208:particular cases, such as 151:can be told the same way. 123:phenomena not represented) 15: 384:. CRC Press. p. 29. 327:mid-infrared spectroscopy 89:adjacent to the surface. 165:microscopic structure); 575:KortĂĽm, Gustav (1969). 523:Zh. Russ. Fiz-Khim. Ova 505:The Scattering of Light 277:Diffuse interreflection 100:material such as white 378:Scott M. Juds (1988). 132: 124: 39: 507:. New York: Academic. 279:is a process whereby 255:Importance for vision 130: 118: 79:Lambertian reflection 29: 579:. Berlin: Springer. 542:Analytical Chemistry 296:3D computer graphics 245:chromatic dispersion 36:Lambert's cosine law 554:10.1021/ac50035a045 503:Kerker, M. (1969). 300:global illumination 262:Rayleigh scattering 71:specular reflection 490:2011-07-17 at the 443:2010-07-27 at the 419:2010-07-27 at the 133: 125: 55:waves or particles 43:Diffuse reflection 40: 32:luminous intensity 615:Optical phenomena 548:(13): 1906–1910. 391:978-0-8247-7886-6 220:dielectric mirror 185:of the eye lens. 627: 599: 598: 572: 566: 565: 537: 531: 530: 519:Mandelstam, L.I. 515: 509: 508: 500: 494: 471: 465: 462: 456: 453: 447: 430: 424: 406: 400: 399: 375: 325:spectroscopy or 241:refractive index 215:total reflection 635: 634: 630: 629: 628: 626: 625: 624: 605: 604: 603: 602: 587: 573: 569: 538: 534: 516: 512: 501: 497: 492:Wayback Machine 481:, 593–601, see 472: 468: 463: 459: 454: 450: 445:Wayback Machine 431: 427: 421:Wayback Machine 407: 403: 392: 376: 372: 367: 335: 316: 274: 272:Interreflection 257: 228: 226:Colored objects 167:single crystals 156:polycrystalline 113: 98:polycrystalline 24: 21: 12: 11: 5: 633: 623: 622: 617: 601: 600: 585: 567: 532: 510: 495: 466: 457: 448: 425: 401: 390: 369: 368: 366: 363: 362: 361: 356: 351: 346: 341: 334: 331: 315: 312: 308:photon mapping 273: 270: 266:Mie scattering 256: 253: 227: 224: 112: 109: 22: 9: 6: 4: 3: 2: 632: 621: 618: 616: 613: 612: 610: 596: 592: 588: 586:9783642880711 582: 578: 571: 563: 559: 555: 551: 547: 543: 536: 528: 524: 520: 514: 506: 499: 493: 489: 486: 485: 480: 476: 470: 461: 452: 446: 442: 439: 435: 429: 422: 418: 415: 411: 405: 397: 393: 387: 383: 382: 374: 370: 360: 357: 355: 352: 350: 347: 345: 342: 340: 337: 336: 330: 328: 324: 320: 311: 309: 305: 301: 297: 292: 290: 286: 282: 278: 269: 267: 263: 252: 250: 246: 242: 236: 232: 223: 221: 217: 216: 211: 210:grazing angle 206: 200: 198: 194: 191: 186: 184: 180: 176: 172: 168: 164: 159: 157: 152: 148: 146: 142: 137: 129: 122: 117: 108: 105: 103: 99: 95: 90: 88: 84: 80: 76: 72: 68: 64: 60: 56: 52: 48: 44: 37: 33: 28: 19: 576: 570: 545: 541: 535: 526: 522: 513: 504: 498: 483: 478: 474: 469: 460: 451: 433: 428: 409: 404: 380: 373: 354:Reflectivity 317: 314:Spectroscopy 293: 276: 275: 258: 237: 233: 229: 213: 204: 201: 187: 160: 153: 149: 140: 138: 134: 106: 91: 74: 42: 41: 179:frost glass 609:Categories 365:References 323:UV-Vis-NIR 121:refraction 87:half-space 47:reflection 595:714802320 562:0003-2700 359:Remission 304:Radiosity 183:cataracts 163:amorphous 111:Mechanism 83:luminance 63:scattered 53:or other 488:Archived 441:Archived 417:Archived 396:Archived 339:Diffuser 333:See also 285:specular 173:and the 65:at many 620:Shading 289:colored 141:exactly 94:plaster 73:. An 45:is the 593:  583:  560:  529:: 381. 436:, in ' 388:  193:paints 190:glossy 171:cornea 102:marble 67:angles 412:, in 281:light 249:prism 247:in a 197:matte 75:ideal 51:light 591:OCLC 581:ISBN 558:ISSN 386:ISBN 306:and 205:only 175:lens 550:doi 294:In 59:ray 49:of 611:: 589:. 556:. 546:50 544:. 527:58 525:. 479:12 394:. 329:. 597:. 564:. 552:: 423:. 20:.

Index

Scattering from rough surfaces

luminous intensity
Lambert's cosine law
reflection
light
waves or particles
ray
scattered
angles
specular reflection
Lambertian reflection
luminance
half-space
plaster
polycrystalline
marble

refraction

scattering centers beneath the surface
polycrystalline
amorphous
single crystals
cornea
lens
frost glass
cataracts
glossy
paints

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