Computational Colour Science using MATLAB

by Stephen Westland (School of Design, University of Leeds, UK); Caterina Ripamonti (University of Pennsylvania, USA)

• ISBN13: 9780470845622
• ISBN10: 0470845627
• Format: Hardcover
• Copyright: 2004-05-01
• Publisher: WILEY

Summary

"Presenting a practical, problem-based approach to colour physics, this title describes the key issues encountered in modern colour engineering, including efficient representation of colour information, fourier analysis of reflectance spectra and advanced colorimetric computation. Emphasis is placed on the practical applications rather than the techniques themselves, with material structured around key topics, such as colour calibration of visual displays, computer recipe prediction and models for colour-appearance prediction. Each topic is carefully introduced at three levels to enhance student understanding. Firstly, theoretical ideas and background information are discussed, explanations of mathematical solutions then follow and finally practical solutions are presented using MATLAB. Includes a compendium of equations and numerical data required by the modern colour and imaging scientist. Numerous examples of solutions and algorithms for a wide-range of computational problems in colour science. Provides example scripts using the MATLAB programming language. This text is a must-have for students taking courses in colour science, colour chemistry and colour physics as well as technicians and researchers working in the area. "

Table of Contents

Acknowledgements	p. xi
Introduction	p. 1
Who this book is for	p. 1
Why base this book upon MATLAB?	p. 2
A brief review of the CIE system of colorimetry	p. 4
Linear Algebra for Beginners	p. 13
Some basic definitions	p. 13
Solving systems of simultaneous equations	p. 14
Transposes and inverses	p. 16
Linear and non-linear transforms	p. 16
A Short Introduction to MATLAB	p. 19
Matrix operations	p. 20
Computing the transpose and inverse of matrices	p. 22
M-files	p. 25
Using functions in MATLAB	p. 25
Computing CIE Tristimulus Values	p. 27
Introduction	p. 27
Standard colour-matching functions	p. 27
Interpolation methods	p. 29
Extrapolation methods	p. 33
Tables of weights	p. 34
Correction for spectral bandpass	p. 35
Chromaticity diagrams	p. 35
Implementations and examples	p. 37
Spectral bandpass correction	p. 37
Reflectance interpolation	p. 39
Computing tristimulus values	p. 41
Plotting the spectral locus	p. 45
Computing Colour Difference	p. 49
Introduction	p. 49
CIELAB and CIELUV colour space	p. 50
CIELAB colour difference	p. 52
Optimised colour-difference formulae	p. 55
CMC(l:c)	p. 55
CIE94	p. 56
CIEDE2000	p. 57
Implementations and examples	p. 58
Computing CIELAB and CIELUV coordinates	p. 58
Computing colour difference	p. 68
Chromatic-adaptation Transforms and Colour Appearance	p. 81
Introduction	p. 81
CATs	p. 82
CIECAT94	p. 86
CMCCAT97	p. 89
CMCCAT2000	p. 90
CAMs	p. 92
CIECAM97s	p. 93
CMCCAM2000	p. 96
Implementations and examples	p. 96
CATs	p. 96
Computing colour appearance	p. 104
Characterization of Computer Displays	p. 111
Introduction	p. 111
Gamma	p. 112
The GOG model	p. 112
Device-independent transformation	p. 114
Typical characterization procedure	p. 115
Implementations and examples	p. 116
Characterization of Cameras	p. 127
Introduction	p. 127
Correction for non-linearity	p. 128
Device-independent representation	p. 129
Implementations and examples	p. 130
Characterization of Printers	p. 141
Introduction	p. 141
Physical models	p. 142
Neural networks	p. 143
Characterization of half-tone printers	p. 145
Correction for non-linearity	p. 145
Device-independent representation	p. 146
Kubelka-Munk model	p. 147
Implementations and examples	p. 150
Half-tone printer	p. 150
Continuous-tone printer	p. 155
Multispectral Imaging	p. 163
Introduction	p. 163
Computational colour constancy and linear models	p. 164
Surface and illuminant estimation algorithms	p. 170
Techniques for multispectral imaging	p. 171
The Hardeberg method	p. 171
The Imai and Berns method	p. 172
Methods based on maximum smoothness	p. 172
Implementations and examples	p. 172
Deriving a set of basis functions	p. 172
Representation of reflectance spectra in a linear mode	p. 176
Estimation of reflectance spectra from tristimulus values	p. 179
Estimation of reflectance spectra from camera responses	p. 183
Fourier operations on reflectance spectra	p. 185
Colour Toolbox	p. 189
cband.m (Box 1)	p. 189
pinterp.m (Box 2)	p. 189
r2xyz.m (Box 3)	p. 190
plocus.m (Box 4)	p. 190
xyz2lab.m (Box 5)	p. 190
lab2xyz.m (Box 6)	p. 190
xyz2luv.m (Box 7)	p. 191
car2pol.m (Box 8)	p. 191
pol2car (Box 9)	p. 191
cielabde.m (Box 10)	p. 191
dhpolarity (Box 11)	p. 192
cmcde.m (Box 12)	p. 192
cie94de.m (Box 13)	p. 192
cie00de.m (Box 14)	p. 193
cmccat97.m (Box 15)	p. 193
cmccat00.m (Box 16)	p. 193
ciecam97s.m (Box 17)	p. 194
gogtest.m (Box 18)	p. 194
compgog.m (Box 19)	p. 195
rgb2xyz.m (Box 20)	p. 195
xyz2rgb.m (Box 21)	p. 195
compigog (Box 22)	p. 195
getlincam.m (Box 23)	p. 196
lincam (Box 24)	p. 196
gettrc (Box 25)	p. 196
r2xyz (Box 26)	p. 197
References	p. 199
Index	p. 205
Table of Contents provided by Rittenhouse. All Rights Reserved.