Computational Colour Science Using MATLAB

This text offers a practical, problem-based approach to colour physics. The book focuses on 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. These topics include colour calibration of visual displays, computer recipe prediction and models for colour-appearance prediction. Each topic is carefully introduced at three levels to aid student understanding. First, 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. Describes how to implement colour science in a way that most other texts barely touch upon. Four-colour throughout, with substantial new and revised material, i.e. Three new chapters: colour imaging, psychophysical methods, and physiological colour spaces. Extended MATLAB toolbox with a professional (optimized) toolbox to go alongside the current teaching toolbox. Additional java toolbox for users who are writing web applications and/or applets or mobile phone applications. An invaluable resource for students taking courses in colour science, colour chemistry and colour physics as well as technicians and researchers working in the area. In addition, it will act a useful reference for professionals and researchers working in colour-dependent industries such as textiles, paints, print & electronic imaging.

Stephen Westland was awarded his BSc and PhD from the University of Leeds. In 1986 he joined Courtaulds Research as a Colour Physicist before returning to academia in 1990 to work at the University of Keele. He worked as a post-doctoral researcher and lecturer in the Department of Communication and Neuroscience where he taught and researched colour measurement, human colour vision, computational imaging and image processing. In 1990 he was appointed as a Reader in Colour Imaging at the Colour Imaging Institute of the University of Derby. He was appointed as Professor of Colour Science and Technology in the School of Design at the University of Leeds in 2003 where he currently teaches and researches.

He has published more than 100 refereed papers in the areas of colour imaging, colour management, colour physics and colour design. He has been active in professional bodies that are concerned with colour. He is an active participant in conferences organised by the Society of Imaging Society and Technology (IS&T) and served on several organizational and technical committees. In 2008 he was awarded a Fellowship of the Society of Dyers and Colourists and the Davies Medal from the Royal Photographic Society for his research on digital colour imaging.

Acknowledgements	p. ix
About the Authors	p. xi
Introduction	p. 1
Preface	p. 1
Why Base this Book on MATLAB®?	p. 2
A Brief Review of the CDS System of Colorimetry	p. 4
Linear Algebra for Beginners	p. 13
Some Basic Definitions	p. 13
Solving Systems of Simultaneous Equations	p. 14
Function Approximation	p. 16
A Short Introduction to MATLAB®	p. 19
Matrices	p. 19
Matrix Operations	p. 21
Solving Linear Systems	p. 23
M-Files	p. 25
Using Functions in MATLAB®	p. 25
Computing CIE Tristimulus Values	p. 27
Introduction	p. 27
Colour-Matching Functions	p. 28
Interpolation Methods	p. 29
Extrapolation Methods	p. 38
Correction for Spectral Bandpass	p. 38
Tristimulus Values	p. 39
Chromaticity Diagrams	p. 43
CIELAB and Colour Difference	p. 49
Introduction	p. 49
CIELAB and CIELUV Colour Space	p. 50
A Representation of CIELAB Using MATLAB®	p. 56
CIELAB Colour Difference	p. 60
Optimised Colour-Difference Formulae	p. 64
CMC (l:c)	p. 64
CIE 94	p. 67
CEEDE2000	p. 68
Chromatic-Adaptation Transforms and Colour Appearance	p. 75
Introduction	p. 75
Chromatic-Adaptation Transforms (CATs)	p. 76
A Brief History of CATs	p. 80
CMCCAT97	p. 80
CMCCAT2000	p. 83
Colour-Appearance Models (CAMs)	p. 86
CIECAM02	p. 88
Physiological Colour Spaces	p. 93
Introduction	p. 93
Colour Vision	p. 94
Cone-Excitation Space	p. 96
MacLeod and Boynton Chromaticity Diagram	p. 101
DKL Colour Space	p. 106
Colour Management	p. 119
The Need for Colour Management	p. 119
Using MATLAB® to Create Representations of Gamuts	p. 121
RGB Colour Spaces	p. 122
sRGB	p. 123
Adobe RGB (1998)	p. 125
The International Color Consortium	p. 126
Characterisation and Calibration	p. 127
Approaches to Characterisation	p. 128
Display Characterisation	p. 131
Introduction	p. 131
Gamma	p. 131
The GOG Model	p. 132
Device-Independent Transformation	p. 133
Characterisation Example of CRT Display	p. 134
Beyond CRT Displays	p. 140
Characterisation of Cameras	p. 143
Introduction	p. 143
Correction for Nonlinearity	p. 144
Correction for Lack of Spatial Uniformity	p. 146
Characterisation	p. 146
Example Characterisation of a Digital Camera	p. 149
Characterisation of Printers	p. 159
Introduction	p. 159
Physical Models	p. 160
Neural Networks	p. 161
Characterisation of Half-Tone Printers	p. 162
Correction for Nonlinearity	p. 162
Neugebauer Models	p. 163
Example Characterisation of a Half-Tone Printer	p. 165
Characterisation of Continuous-Tone Printers	p. 169
Kubelka-Munk Models	p. 169
Interpolation of 3D Look-Up Tables	p. 172
General Linear and Nonlinear Transforms	p. 173
Example Characterisation of a Half-Tone Printer	p. 173
Multispectral Imaging	p. 179
Introduction	p. 179
Computational Colour Constancy and Linear Models	p. 180
Example Using MATLAB®	p. 181
Properties of Reflectance Spectra	p. 182
PCA and SVD	p. 183
SVD Using MATLAB®	p. 185
Application of SVD to Reflectance Recovery	p. 189
Techniques for Multispectral Imaging	p. 191
Maloney-Wandell Method	p. 191
Imai-Berns Method	p. 192
Shi-Healey Method	p. 193
Methods Based on Maximum Smoothness	p. 193
Device Characterisation Revisited	p. 193
Fourier Operations on Reflectance Spectra	p. 193
Table of White Points of Illuminants used in r2xyz and Other Functions	p. 197
Colour Toolbox	p. 199
Where to Find the Toolbox	p. 199
How to Install the Toolbox	p. 199
Summary of Toolbox Files	p. 199
Computing CEE Tristimulus Values	p. 199
CIELAB and Colour Difference	p. 200
Chromatic-Adaptation Transforms and Colour Appearance	p. 200
Physiological Colour Spaces	p. 200
Colour Management	p. 200
Display Characterisation	p. 200
Characterisation of Cameras	p. 201
Characterisation of Printers	p. 201
References	p. 203
Index	p. 213
Table of Contents provided by Ingram. All Rights Reserved.

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