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Adams chromatic valence color space

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Objects which have the same chromaticity coordinates as the white object usually appear neutral, or fairly so, and normalizing in this fashion ensures that their coordinates lie at the origin. Adams plotted the first one the horizontal axis and the latter, multiplied by 0.4, on the vertical axis. The
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These expressions, he noted, depended only on the chromaticity of the sample. Accordingly, he called their plot a "constant-brightness chromaticity diagram". This diagram does not have the white point at the origin, but at (1, 1) instead.
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scaling factor is to ensure that the contours of constant chroma (saturation) lie on a circle. Distances along any radius from the origin are proportional to
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is applied to the tristimulus value indicated in the subscript. (Note that the two spaces use different lightness approximations.)
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is very perceptually non-uniform: small perceptual changes in chromaticity in greens, for example, translate into large
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Chromatic value/valence spaces are notable for incorporating the opponent process model and the empirically-determined
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The remaining two axes are formed by multiplying the two uniform chromaticity coordinates by the lightness,
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different by a corresponding amount, so Adams proposed a new class of spaces, which he termed chromatic
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In chromaticity scales, lightness is factored out, leaving two dimensions. Two lights with the same
690: 642: 371: 247: 2227:{\displaystyle \Delta E={\sqrt {(0.23\Delta V_{Y})^{2}+(\Delta W_{X})^{2}+(0.4\Delta W_{Z})^{2}}}} 535: 32: 1976:{\displaystyle \Delta E={\sqrt {(0.5\Delta V_{J})^{2}+(\Delta W_{X})^{2}+(0.4\Delta W_{Z})^{2}}}} 957:, but these would be considered obsolete today. This exposition is generalized from his papers.) 430: 304: 180: 2268: 776:, while larger perceptual differences in chromaticity in other colors are usually much smaller. 2468: 1187: 85: 2505: 2340: 968:
The chromance diagram is not invariant to brightness, so Adams normalized each term by the
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Adams suggested a relatively simple uniform chromaticity scale in his 1942 paper:
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Proceedings of the Twenty-Eighth Annual Meeting of the Optical Society of America
1624: 950: 1613:{\displaystyle {\frac {Z/z_{n}}{Y/y_{n}}}-1={\frac {Z/z_{n}-Y/y_{n}}{Y/y_{n}}}.} 1472:{\displaystyle {\frac {X/x_{n}}{Y/y_{n}}}-1={\frac {X/x_{n}-Y/y_{n}}{Y/y_{n}}},} 1167:{\displaystyle {\frac {y_{n}}{z_{n}}}{\frac {Z}{Y}}={\frac {z/z_{n}}{y/y_{n}}}.} 1066:{\displaystyle {\frac {y_{n}}{x_{n}}}{\frac {X}{Y}}={\frac {x/x_{n}}{y/y_{n}}}} 538:
along any one hue radius (i.e., to make the diagram perceptually uniform). For
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factor in the red/green vs. blue/yellow chromaticity components (such as in
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to give nearly equal radial distance for equal changes in Munsell chroma.
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and the 0.4 factor is incorporated to better make differences in W
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In chromatic value color spaces, the chromaticity components are
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responses and is derived from Adams' theory of color vision.
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are the chromaticities of the reference white object (the
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scale factor is intended to make radial distance from the
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Constant differences along the chroma dimension did not
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Hunter, Richard Sewall; Harold, Richard Wesley (1987).
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A chromatic value space consists of three components:
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for lightness. Defining chromatic valence components
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Chromatic valence spaces incorporate two relatively
27:. Two important Adams chromatic valence spaces are 2226: 2103: 2050: 1975: 1848: 1748: 1612: 1471: 1320: 1166: 1065: 933: 877: 824: 733:In other words, the white point is at the origin. 725: 680: 631: 508: 459: 411: 360: 333: 287: 236: 209: 168: 104: 1198:scale. The lightness scale, determined using the 2497: 2302:planes in the 1931 I.C.I. system of colorimetry" 632:{\displaystyle (y_{n}/x_{n})X=Y=(y_{n}/z_{n})Z,} 341:, the blue–yellow chromaticity dimension, where 169:{\displaystyle V_{Y}^{2}=1.4742Y-0.004743Y^{2};} 756:, but different luminance, will have identical 217:, the red–green chromaticity dimension, where 2275:. Vol. 33. Pittsburgh, PA. p. 683. 1623:This is essentially what Hunter used in his 2368:Widdel, Heino; Post, David Lucien (1992). 878:{\displaystyle {\frac {y_{n}}{z_{n}}}Z-Y,} 2284: 2282: 2259: 2257: 2255: 2253: 2002:perceptually correspond to one another. 825:{\displaystyle {\frac {y_{n}}{x_{n}}}X-Y} 2462: 2460: 2398: 427:A chromatic value diagram is a plot of 2498: 2466: 2279: 2250: 1202:, forms one axis of the color space: 2457: 2430:Adams, Elliot Quincy (January 1923). 2429: 2288: 2263: 1992:Newhall-Nickerson-Judd value function 1200:Newhall–Nickerson–Judd value function 2239:Munsell-Sloan-Godlove value function 1181: 114:Munsell–Sloan–Godlove value function 2467:Little, Angela C. (February 1963). 1644: 64:In 1942, Adams suggested chromatic 13: 2199: 2167: 2138: 2121: 1948: 1916: 1887: 1870: 68:color spaces. Chromatic value, or 59: 14: 2517: 2104:{\displaystyle W_{Z}=V_{Z}-V_{Y}} 2051:{\displaystyle W_{X}=V_{X}-V_{Y}} 934:{\displaystyle x_{n},y_{n},z_{n}} 368:is the value function applied to 244:is the value function applied to 72:, refers to the intensity of the 1649:Adams' color spaces rely on the 509:{\displaystyle 0.4(V_{Z}-V_{Y})} 760:coordinates. The familiar CIE ( 2423: 2392: 2361: 2326: 2213: 2193: 2181: 2164: 2152: 2132: 1962: 1942: 1930: 1913: 1901: 1881: 726:{\displaystyle V_{Z}-V_{Y}=0.} 681:{\displaystyle V_{X}-V_{Y}=0,} 620: 592: 577: 549: 503: 477: 412:{\displaystyle (y_{n}/z_{n})Z} 403: 375: 288:{\displaystyle (y_{n}/x_{n})X} 279: 251: 1: 2336:The Measurement of Appearance 2244: 1858:difference between two colors 2371:Color in Electronic Displays 747: 19:color spaces are a class of 7: 2399:Shevell, Steven K. (2003). 754:spectral power distribution 460:{\displaystyle V_{X}-V_{Y}} 334:{\displaystyle V_{Z}-V_{Y}} 210:{\displaystyle V_{X}-V_{Y}} 10: 2522: 2432:"A Theory of Color Vision" 949:). (Adams had used smoked 467:(horizontal axis) against 1856:, we can determine the 17:Adams chromatic valence 2487:10.1364/JOSA.53.000293 2320:10.1364/JOSA.32.000168 2228: 2105: 2052: 1977: 1850: 1750: 1614: 1473: 1322: 1168: 1067: 935: 879: 826: 727: 682: 633: 510: 461: 413: 362: 335: 289: 238: 211: 170: 106: 105:{\displaystyle V_{Y},} 2341:John Wiley & Sons 2290:Adams, Elliott Quincy 2229: 2111:. The difference is: 2106: 2053: 1978: 1851: 1751: 1615: 1474: 1323: 1169: 1068: 936: 880: 827: 728: 683: 634: 516:(vertical axis). The 511: 462: 414: 363: 361:{\displaystyle V_{Z}} 336: 290: 239: 237:{\displaystyle V_{X}} 212: 171: 107: 2439:Psychological Review 2402:The Science of Color 2265:Adams, Elliot Quincy 2118: 2062: 2009: 1867: 1760: 1660: 1486: 1345: 1209: 1188:perceptually uniform 1077: 979: 892: 836: 786: 770:chromaticity diagram 691: 643: 546: 471: 431: 372: 345: 305: 248: 221: 181: 120: 86: 1314: 1293: 1272: 1251: 972:tristimulus value: 963:colorimetric purity 534:correlate with the 137: 25:Elliot Quincy Adams 2224: 2101: 2048: 1973: 1846: 1746: 1610: 1469: 1318: 1300: 1279: 1258: 1237: 1164: 1063: 931: 875: 822: 723: 678: 629: 506: 457: 409: 358: 331: 285: 234: 207: 166: 123: 102: 2222: 1971: 1823: 1723: 1605: 1531: 1464: 1390: 1182:Chromatic valence 1159: 1112: 1102: 1061: 1014: 1004: 861: 811: 2513: 2491: 2490: 2464: 2455: 2454: 2451:10.1037/h0075074 2436: 2427: 2421: 2420: 2396: 2390: 2389: 2378:. pp. 5–6. 2365: 2359: 2358: 2330: 2324: 2323: 2286: 2277: 2276: 2267:(October 1943). 2261: 2233: 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97: 74:opponent process 51: 50: 46: 43: 2521: 2520: 2516: 2515: 2514: 2512: 2511: 2510: 2496: 2495: 2494: 2465: 2458: 2434: 2428: 2424: 2417: 2409:. p. 161. 2397: 2393: 2386: 2366: 2362: 2355: 2331: 2327: 2287: 2280: 2262: 2251: 2247: 2216: 2212: 2206: 2202: 2184: 2180: 2174: 2170: 2155: 2151: 2145: 2141: 2130: 2119: 2116: 2115: 2095: 2091: 2082: 2078: 2069: 2065: 2063: 2060: 2059: 2042: 2038: 2029: 2025: 2016: 2012: 2010: 2007: 2006: 2001: 1997: 1989: 1965: 1961: 1955: 1951: 1933: 1929: 1923: 1919: 1904: 1900: 1894: 1890: 1879: 1868: 1865: 1864: 1840: 1836: 1816: 1812: 1807: 1803: 1796: 1792: 1787: 1783: 1781: 1780: 1776: 1767: 1763: 1761: 1758: 1757: 1740: 1736: 1716: 1712: 1707: 1703: 1696: 1692: 1687: 1683: 1681: 1680: 1676: 1667: 1663: 1661: 1658: 1657: 1647: 1637: 1633: 1630: 1628: 1625:Lab color space 1598: 1594: 1589: 1585: 1578: 1574: 1569: 1557: 1553: 1548: 1544: 1542: 1524: 1520: 1515: 1511: 1504: 1500: 1495: 1491: 1489: 1487: 1484: 1483: 1457: 1453: 1448: 1444: 1437: 1433: 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121: 118: 117: 93: 89: 87: 84: 83: 62: 60:Chromatic value 48: 44: 41: 39: 12: 11: 5: 2519: 2509: 2508: 2493: 2492: 2481:(2): 293–296. 2456: 2422: 2415: 2391: 2384: 2360: 2353: 2325: 2314:(3): 168–173. 2292:(March 1942). 2278: 2248: 2246: 2243: 2235: 2234: 2219: 2215: 2209: 2205: 2201: 2198: 2195: 2192: 2187: 2183: 2177: 2173: 2169: 2166: 2163: 2158: 2154: 2148: 2144: 2140: 2137: 2134: 2129: 2126: 2123: 2098: 2094: 2090: 2085: 2081: 2077: 2072: 2068: 2045: 2041: 2037: 2032: 2028: 2024: 2019: 2015: 1999: 1995: 1987: 1984: 1983: 1968: 1964: 1958: 1954: 1950: 1947: 1944: 1941: 1936: 1932: 1926: 1922: 1918: 1915: 1912: 1907: 1903: 1897: 1893: 1889: 1886: 1883: 1878: 1875: 1872: 1843: 1839: 1834: 1830: 1827: 1819: 1815: 1810: 1806: 1799: 1795: 1790: 1786: 1779: 1775: 1770: 1766: 1743: 1739: 1734: 1730: 1727: 1719: 1715: 1710: 1706: 1699: 1695: 1690: 1686: 1679: 1675: 1670: 1666: 1646: 1643: 1621: 1620: 1609: 1601: 1597: 1592: 1588: 1581: 1577: 1572: 1568: 1565: 1560: 1556: 1551: 1547: 1541: 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948: 944: 926: 922: 918: 913: 909: 905: 900: 896: 872: 869: 866: 863: 856: 852: 846: 842: 819: 816: 813: 806: 802: 796: 792: 782: 781: 780: 777: 775: 771: 767: 763: 759: 755: 745: 743: 739: 734: 720: 717: 712: 708: 704: 699: 695: 675: 672: 669: 664: 660: 656: 651: 647: 626: 623: 615: 611: 606: 600: 596: 589: 586: 583: 580: 572: 568: 563: 557: 553: 541: 537: 533: 498: 494: 490: 485: 481: 474: 452: 448: 444: 439: 435: 422: 406: 398: 394: 389: 383: 379: 353: 349: 326: 322: 318: 313: 309: 301: 298: 282: 274: 270: 265: 259: 255: 229: 225: 202: 198: 194: 189: 185: 177: 163: 158: 154: 150: 147: 144: 141: 138: 133: 128: 124: 115: 99: 94: 90: 82: 81: 80: 77: 75: 71: 67: 57: 55: 36: 34: 30: 26: 23:suggested by 22: 18: 2478: 2472: 2445:(1): 56–76. 2442: 2438: 2425: 2401: 2394: 2370: 2363: 2335: 2328: 2311: 2305: 2299: 2295: 2272: 2236: 2004: 1985: 1648: 1622: 1332: 1330: 1194:scale and a 1192:chromaticity 1190:elements: a 1185: 1176: 969: 967: 959: 942: 887: 778: 765: 761: 758:chromaticity 751: 741: 737: 735: 426: 420: 296: 78: 69: 65: 63: 37: 21:color spaces 16: 15: 2506:Color space 532:white point 419:instead of 295:instead of 2245:References 2237:where the 947:normalized 639:and hence 542:surfaces, 540:achromatic 33:Hunter Lab 2200:Δ 2168:Δ 2139:Δ 2122:Δ 2089:− 2036:− 1949:Δ 1917:Δ 1888:Δ 1871:Δ 1826:− 1726:− 1564:− 1534:− 1423:− 1393:− 1298:0.0008404 1274:− 1232:− 1196:lightness 945:suggests 867:− 817:− 774:distances 748:Chromance 705:− 657:− 491:− 445:− 319:− 195:− 148:− 70:chromance 2500:Category 2407:Elsevier 2376:Springer 1277:0.021009 151:0.004743 1990:is the 1986:where V 1651:Munsell 1636:⁄ 1256:0.23951 1235:0.23111 764:,  742:valence 525:⁄ 47:⁄ 2413:  2382:  2351:  1219:1.2219 953:under 888:where 738:appear 142:1.4742 54:CIELAB 29:CIELUV 2435:(PDF) 1998:and W 1654:value 66:value 2474:JOSA 2411:ISBN 2380:ISBN 2349:ISBN 2345:IEEE 2307:JOSA 2136:0.23 2058:and 1860:as: 1756:and 1073:and 832:and 112:the 31:and 2483:doi 2447:doi 2316:doi 2197:0.4 1946:0.4 1885:0.5 475:0.4 56:). 2502:: 2479:53 2477:. 2471:. 2459:^ 2443:30 2441:. 2437:. 2405:. 2374:. 2347:. 2339:. 2312:32 2310:. 2304:. 2281:^ 2271:. 2252:^ 1338:: 965:. 768:) 721:0. 116:: 35:. 2489:. 2485:: 2453:. 2449:: 2419:. 2388:. 2357:. 2343:– 2322:. 2318:: 2300:Z 2298:– 2296:X 2294:" 2218:2 2214:) 2208:Z 2204:W 2194:( 2191:+ 2186:2 2182:) 2176:X 2172:W 2165:( 2162:+ 2157:2 2153:) 2147:Y 2143:V 2133:( 2128:= 2125:E 2097:Y 2093:V 2084:Z 2080:V 2076:= 2071:Z 2067:W 2044:Y 2040:V 2031:X 2027:V 2023:= 2018:X 2014:W 2000:Z 1996:X 1988:J 1967:2 1963:) 1957:Z 1953:W 1943:( 1940:+ 1935:2 1931:) 1925:X 1921:W 1914:( 1911:+ 1906:2 1902:) 1896:J 1892:V 1882:( 1877:= 1874:E 1842:J 1838:V 1833:) 1829:1 1818:n 1814:y 1809:/ 1805:y 1798:n 1794:z 1789:/ 1785:z 1778:( 1774:= 1769:Z 1765:W 1742:J 1738:V 1733:) 1729:1 1718:n 1714:y 1709:/ 1705:y 1698:n 1694:x 1689:/ 1685:x 1678:( 1674:= 1669:X 1665:W 1638:2 1634:1 1631:+ 1629:2 1608:. 1600:n 1596:y 1591:/ 1587:Y 1580:n 1576:y 1571:/ 1567:Y 1559:n 1555:z 1550:/ 1546:Z 1540:= 1537:1 1526:n 1522:y 1517:/ 1513:Y 1506:n 1502:z 1497:/ 1493:Z 1467:, 1459:n 1455:y 1450:/ 1446:Y 1439:n 1435:y 1430:/ 1426:Y 1418:n 1414:x 1409:/ 1405:X 1399:= 1396:1 1385:n 1381:y 1376:/ 1372:Y 1365:n 1361:x 1356:/ 1352:X 1335:J 1333:V 1316:. 1311:5 1306:J 1302:V 1295:+ 1290:4 1285:J 1281:V 1269:3 1264:J 1260:V 1253:+ 1248:2 1243:J 1239:V 1227:J 1223:V 1216:= 1213:Y 1162:. 1154:n 1150:y 1145:/ 1141:y 1134:n 1130:z 1125:/ 1121:z 1115:= 1110:Y 1107:Z 1098:n 1094:z 1088:n 1084:y 1056:n 1052:y 1047:/ 1043:y 1036:n 1032:x 1027:/ 1023:x 1017:= 1012:Y 1009:X 1000:n 996:x 990:n 986:y 970:Y 943:n 927:n 923:z 919:, 914:n 910:y 906:, 901:n 897:x 873:, 870:Y 864:Z 857:n 853:z 847:n 843:y 820:Y 814:X 807:n 803:x 797:n 793:y 766:y 762:x 718:= 713:Y 709:V 700:Z 696:V 676:, 673:0 670:= 665:Y 661:V 652:X 648:V 627:, 624:Z 621:) 616:n 612:z 607:/ 601:n 597:y 593:( 590:= 587:Y 584:= 581:X 578:) 573:n 569:x 564:/ 558:n 554:y 550:( 527:2 523:1 520:+ 518:2 504:) 499:Y 495:V 486:Z 482:V 478:( 453:Y 449:V 440:X 436:V 423:. 421:Y 407:Z 404:) 399:n 395:z 390:/ 384:n 380:y 376:( 354:Z 350:V 327:Y 323:V 314:Z 310:V 299:; 297:Y 283:X 280:) 275:n 271:x 266:/ 260:n 256:y 252:( 230:X 226:V 203:Y 199:V 190:X 186:V 164:; 159:2 155:Y 145:Y 139:= 134:2 129:Y 125:V 100:, 95:Y 91:V 49:2 45:1 42:+ 40:2

Index

color spaces
Elliot Quincy Adams
CIELUV
Hunter Lab
CIELAB
opponent process
Munsell–Sloan–Godlove value function
white point
Munsell chroma
achromatic
spectral power distribution
chromaticity
chromaticity diagram
distances
normalized
magnesium oxide
CIE Illuminant C
colorimetric purity
perceptually uniform
chromaticity
lightness
Newhall–Nickerson–Judd value function
Lab color space
Munsell
value
difference between two colors
Newhall-Nickerson-Judd value function
Munsell-Sloan-Godlove value function

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