Errata V10 and Updates. R. S. Berns, Billmeyer and Saltzman s Principles of Color Technology, 3 rd edition, John Wiley, New York, 2000.

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1 Errata V10 and Updates R. S. Berns Billmeyer and Saltzman s Principles of Color Technology 3 rd edition John Wiley New ork th Printing How to tell which printing? ou can tell by looking at the copyright page. On the bottom you ll see numbers: The last number lists the printing. Thanks to all my readers for pointing out errors Roy Berns berns@cis.rit.edu December Berns Billmeyer and Saltzmans Principles of Color Technology 3 rd edition Errata 1

2 Errata Page 5 Right column line 8. Add quotes: Did you or did you not sell this as Selected Rhubarb? Page 59 Bottom table. The correct legend: The following table of tristimulus values for several common illuminant and observer combinations and has both CIE and ASTM values. ASTM values from E-308 are on the left. CIE values from Publication 15. are on the right. The D50 values for Z should be 8.51 for ASTM and 8.49 for CIE. Page 60 Left column second plot. The axes should be script X and Z as they are defining the three-space axes. Page 65 Left sidebar remove the second u as it is redundant. Page 69 The CIELAB L equation is shown for very dark colors. For colors with / n greater than the equation should be: L = 116/ n 1/3-16 This was correct in the first two printings and changed incorrectly in the third printing and not corrected in the fourth printing. In the Update section I have written a new sidebar that can be printed cut out and pasted in. Page 70 Right column yellowness index equation. The correct equation should be: I = X 1.059Z Page 103 Right column. The equations have errors. The correct equations should be: Bidirectional geometries: white black =.79L 1.50a.96b = 0.3L 0.48a 0.4b E wavelength = 0.08L 0.8a 0.67b Integrating sphere specular component included geometries white black =.58L 1.79a 3.04b = 0.36L 0.6a 0.54b E wavelength = 0.05L 0.95a 0.77b Berns Billmeyer and Saltzmans Principles of Color Technology 3 rd edition Errata

3 Page 0 Right column matrix inversion. The correct equation should be: R = gmaxz bmax bmax Z gmax X gmax bmax X bmax gmax X X bmaxz gmax X gmax Z bmax Z G = bmaxz rmax rmax Z bmax X X rmaxz bmax X bmax Z rmax A-6 X bmax rmax X rmax bmax B = rmaxz gmax gmax Z rmax X rmax gmax X gmax rmax Z X X gmaxz rmax X rmax Z gmax Z Page 08 Right column K/S of the unknown should be capital K and S and the substrate should be subtracted. The correct equation should be: c 1 c c 3 k k = k - =11 - =1 - = 31 k k k Page 14 Left column Eq. F-9 should be: - =1 - = - = 3 k k k - =13 - =3 - = 33.1 K S K S K S - =1unknown - =unknown - = 3unknown. k. k. k - =1t - =t - = 3t. E-4 X c c Z c R c = G c B c. F-9 Right column second to last sentence of the table description. Eq. 49 should be Eq. F-10. Page 17 Right column Eq. G-6 should be: R display G display B display X rmax X gmax X bmax = rmax gmax bmax Z rmax Z gmax Z bmax 1 X display display Z display G-6 Page 41 Left column P.L Vora and H. J. Trussell pages are incorrect. They should be Berns Billmeyer and Saltzmans Principles of Color Technology 3 rd edition Errata 3

4 Page 69 Replace side bar with: Updates Here are the equations for the CIE 1976 Lab CIELAB space. Its calculation depends on the ratio of either X/X n or / n or Z/Z n [notated fx] where X n n and Z n are the tristimulus values of the reference white see page 59. L =116 f n a = 500 f X X n 16 f n f Z Z n [ ] [ ] b = 00 f n = x1/ 3 f x C ab x > x x = a b h ab = tan 1 b a = arctan b a The reverse equations are L 16 X = X n f L 16 = n f L 16 Z = Z n f f a 00 b x 3 x > x = x 16. x / When colors are defined by L C ab and hab first transform back to a and b. a = C ab cos h ab b = C ab sin h ab Berns Billmeyer and Saltzmans Principles of Color Technology 3 rd edition Errata 4

5 Page 7 Left column side bar. The following equation clarifies the geometric meaning of H ab compared to what is written in the book: H ab C abbatch 1/ sin h h abbatch abstan dard = C abstan dard Page 11 Recent CIE Color-Difference Activities Since the book s publication in 000 the CIE technical committee 1-47 has developed a new colordifference equation CIEDE000 or E 00. Its derivation is described in Luo Cui Rigg The development of the CIE 000 colour-difference formula: CIEDE000 Color Research Application 6: and CIE Publication Improvement to Industrial Color-Difference Evaluation. The specific mathematics are shown below: L E 00 = k L S L L = L a = a 1 G b = b G = S L =1 C ab k C S C C 7 ab C 7 ab L 50 0 L 50 S C = C S H = C T T =1 0.17cosh cosh 0.3cos3h 6 0.0cos4h 63 R T = - sinr c = 30exp - h C 7 R c = C / H ab k H S H C R ab H ab T - k C S C k H S H - 1/ Berns Billmeyer and Saltzmans Principles of Color Technology 3 rd edition Errata 5

6 Pages The Bradford chromatic-adaptation transformation shown in Eqs. F-7 F-9 has been replaced with the CIE chromatic-adaptation transformation that is part of CIECAM0. See: International Commission on Illumination CIE Pub 159: 004. A Color appearance model for color management systems. Vienna: CIE Central Bureau 004. The math is the following: R X G = M CAT 0 B Z M CAT 0 = This leads to the following set of pseudo-cone fundamentals:. F-7 The von Kries adaptation transform is the following: R c = R D65 R n R G c = G D65 G n G. F-8 B c = B D65 B n p B This is advantageous over the Bradford transform because it is readily invertible. The inverse matrix to F-7 is the following: X c c Z c = R c G c B c. F-9 Berns Billmeyer and Saltzmans Principles of Color Technology 3 rd edition Errata 6

7 The corresponding color calculation and color inconstancy index were recalculated for the vinyl. Here are the results: A 10 D65 10 Xn n Zn X Z L a b Rn Gn Bn R G B Rc 30.0 Gc 1.1 Bc 13.9 Xc 9.5 c 4.7 Zc 13.7 Lc 56.7 ac 5.5 bc 4.7 L 1.4 C 5.8 Hab 1.0 E 94::1 8.4 Berns Billmeyer and Saltzmans Principles of Color Technology 3 rd edition Errata 7