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Mach bands

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among its neurons. This conjecture is supported by observations on other (non-visual) senses, as pointed out by von Békésy. The visual pattern is often found on curved surfaces subject to a particular, naturally-occurring illumination, so the occurrence of filtering can be explained as the result of
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can easily arise if the practitioner does not take into account the likelihood of this illusion. Mach bands manifest adjacent to metal restorations or appliances and the boundary between
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Mach bands can also appear when there is a discontinuity in the derivative of a gradient, a visual effect common when intensities are linearly interpolated such as in
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between edges of the slightly differing shades of gray, as soon as they contact one another, by triggering edge-detection in the human visual system.
152:. Mach bands may also result in the misdiagnosis of horizontal root fractures because of the differing radiographic intensities of tooth and bone. 38: 443: 418: 401:
Ambalathankandy, Prasoon; Ou, Yafei; Kochiyil, Jyotsna; Takamaeda, Shinya; Motomura, Masato; Asai, Tetsuya; Ikebe, Masayuki (December 2019).
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Parker, M. S.; Chasen, M. H.; Paul, N. (2009). "Radiologic Signs in Thoracic Imaging: Case-Based Review and Self-Assessment Module".
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by creating a dark line at the lung periphery (whereas a true pneumothorax will have a white pleural line).
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Exaggerated contrast between edges of the slightly differing shades of gray appears as soon as they touch
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Example of Mach bands at the ends of gradients where the derivative of the luminance is discontinuous
92:. Mach reported the effect in 1865, conjecturing that filtering is performed in the retina itself, by 975: 840: 815: 780: 560: 233: 895: 885: 745: 740: 705: 405:. 2019 Digital Image Computing: Techniques and Applications (DICTA) (Report). IEEE. pp. 1–8. 53:
makes the darker area falsely appear even darker and the lighter area falsely appear even lighter.
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Computer image processing systems use edge-detection in a way analogous to the brain, using
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Operative dentistry: a practical guide to recent innovations; with ... 5 tables
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between a trapezoidal function that describes the illumination and one or more
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Along the boundary between adjacent shades of grey in the Mach bands illusion,
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An illusory cross (Ă—) appears in the large image due to gradient discontinuity
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images of teeth and bone are analyzed for abnormal variances of density. A
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Mach Band figure and explanatory hypothesis, Laboratory of Dale Purves
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learnt image statistics. The effect of filtering can be modeled as a
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This visual phenomenon is important to keep in mind when evaluating
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Mach bands: quantitative studies on neural networks in the retina
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The effect is independent of the orientation of the boundary.
287:"Mach Band Type Lateral Inhibition in Different Sense Organs" 105:. A tight approximation is obtained by a model employing 9 599:
Eagleman, DM (2001) "Visual Illusions and Neurobiology."
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Mach effect can also lead to an erroneous diagnosis of
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Kingdom (4 November 2014). 653: 639: 631: 582: 572: 377: 359: 318: 545:Lotto RB, Williams SM, Purves D (1999). 199:to clarify edges in photos for example. 250: 181:Smooth luminance profile for comparison 88:channel of the image captured by the 7: 109:filters scaled at octave intervals. 80:The Mach bands effect is due to the 25: 500:American Journal of Roentgenology 291:The Journal of General Physiology 904: 477:10.1097/00004770-200111000-00009 285:von BĂ©kĂ©sy, Georg (1967-01-01). 132:for evidence of decay, in which 30:For the shock-wave pattern, see 411:10.1109/DICTA47822.2019.8946114 348:Frontiers in Human Neuroscience 616:Demonstration of the Mach band 1: 459:Nielsen, C (November 2001). 82:spatial high-boost filtering 602:Nature Reviews Neuroscience 178:Perceived luminance profile 1033: 140:radiological diagnosis of 64:named after the physicist 29: 902: 942:Ascending and Descending 506:(3_Supplement): S34-48. 361:10.3389/fnhum.2014.00843 175:Actual luminance profile 258:Ratliff, Floyd (1965). 574:10.1073/pnas.96.9.5245 465:Journal of Endodontics 185: 125: 54: 42: 434:Devlin, Hugh (2006). 219:Hermann grid illusion 170: 123: 68:. It exaggerates the 48: 40: 976:Accidental viewpoint 303:10.1085/jgp.50.3.519 234:Watercolour illusion 163:In computer graphics 881:Vertical–horizontal 565:1999PNAS...96.5245L 512:10.2214/AJR.07.7081 981:Auditory illusions 776:Impossible trident 224:Lateral inhibition 214:Cornsweet illusion 186: 130:dental radiographs 126: 94:lateral inhibition 55: 51:lateral inhibition 43: 1017:Optical illusions 1004: 1003: 996:Temporal illusion 991:Tactile illusions 961:(2015 photograph) 662:Optical illusions 445:978-3-540-29616-4 420:978-1-7281-3857-2 229:Optical illusions 16:(Redirected from 1024: 908: 861:Schroeder stairs 836:Peripheral drift 831:Penrose triangle 655: 648: 641: 632: 596: 586: 576: 532: 531: 495: 489: 488: 456: 450: 449: 431: 425: 424: 398: 392: 391: 381: 363: 339: 333: 332: 322: 282: 276: 275: 255: 239:Gibbs phenomenon 103:bandpass filters 62:optical illusion 27:Optical illusion 21: 1032: 1031: 1027: 1026: 1025: 1023: 1022: 1021: 1007: 1006: 1005: 1000: 964: 914:Popular culture 909: 900: 871:Spinning dancer 691:Ambiguous image 669: 659: 622:until July 2016 612: 605:. 2(12): 920–6. 544: 541: 539:Further reading 536: 535: 497: 496: 492: 471:(11): 687–691. 458: 457: 453: 446: 433: 432: 428: 421: 400: 399: 395: 341: 340: 336: 284: 283: 279: 272: 257: 256: 252: 247: 205: 197:unsharp masking 190:Gouraud shading 184: 165: 118: 78: 35: 28: 23: 22: 15: 12: 11: 5: 1030: 1028: 1020: 1019: 1009: 1008: 1002: 1001: 999: 998: 993: 988: 983: 978: 972: 970: 966: 965: 963: 962: 954: 953:(1961 drawing) 946: 945:(1960 drawing) 938: 930: 923: 917: 915: 911: 910: 903: 901: 899: 898: 893: 888: 883: 878: 873: 868: 866:Shepard tables 863: 858: 853: 848: 843: 838: 833: 828: 826:Penrose stairs 823: 818: 813: 808: 803: 798: 793: 788: 783: 778: 773: 768: 763: 758: 753: 748: 743: 738: 733: 728: 723: 721:Checker shadow 718: 713: 708: 703: 701:Autostereogram 698: 693: 688: 683: 677: 675: 671: 670: 660: 658: 657: 650: 643: 635: 629: 628: 623: 611: 610:External links 608: 607: 606: 597: 559:(9): 5245–50. 540: 537: 534: 533: 490: 451: 444: 426: 419: 393: 334: 297:(3): 519–532. 277: 270: 264:. 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Index

Mach band
Mach diamond


lateral inhibition
optical illusion
Ernst Mach
contrast
spatial high-boost filtering
luminance
retina
lateral inhibition
convolution
bandpass filters
even-symmetric

dental radiographs
grayscale
false-positive
dental caries
enamel
dentin
pneumothorax

Gouraud shading
unsharp masking
Acutance
Cornsweet illusion
Hermann grid illusion
Lateral inhibition

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