Computational Colour Science Using MATLAB

Acknowledgements About the Authors 1. Introduction 1 1.1 Preface 1 1.2 Why Base this Book on MATLAB? 2 1.3 A Brief Review of the CIE System of Colorimetry 4 2. Linear Algebra for Beginners 13 2.1 Some Basic Definitions 13 2.2 Solving Systems of Simultaneous Equations 14 2.3 Function Approximation 16 3. A Short Introduction to MATLAB 19 3.1 Matrices 19 3.2 Matrix Operations 21 3.3 Solving Linear Systems 23 3.4 M-Files 25 3.5 Using Functions in MATLAB 25 4. Computing CIE Tristimulus Values 27 4.1 Introduction 27 4.2 Colour-Matching Functions 28 4.3 Interpolation Methods 29 4.4 Extrapolation Methods 38 4.5 Correction for Spectral Bandpass 38 4.6 Tristimulus Values 39 4.7 Chromaticity Diagrams 43 5. CIELAB and Colour Difference 49 5.1 Introduction 49 5.2 ACIELAB and CIELUV Colour Space 50 5.2.1 A Representation of CIELAB Using MATLAB 56 5.3 CIELAB Colour Difference 60 5.4 Optimised Colour-Difference Formulae 64 5.4.1 CMC (l:c) 64 5.4.2 CIE 94 67 5.4.3 CIEDE 2000 68 6. Chromatic-Adaptation Transforms and Colour Appearance 75 6.1 Introduction 75 6.2 Chromatic-Adaptation Transforms (CATs) 76 6.2.1 A Brief History of CATs 80 6.2.2 CMCCAT97 80 6.2.3 CMCCAT2000 83 6.3 Colour-Appearance Models (CAMs) 86 6.3.1 CIECAM02 88 7. Physiological Colour Spaces 93 7.1 Introduction 93 7.2 Colour Vision 94 7.3 Cone-Excitation Space 96 7.4 MacLeod and Boynton Chromaticity Diagram 101 7.5 DKL Colour Space 106 8. Colour Management 119 8.1 The Need for Colour Management 119 8.1.1 Using MATLAB to Create Representations of Gamuts 121 8.2 RGB Colour Spaces 122 8.2.1 sRGB 123 8.2.2 Adobe RGB (1998) 125 8.3 The International Color Consortium 126 8.4 Characterisation and Calibration 127 8.4.1 Approaches to Characterisation 128 9. Display Characterisation 131 9.1 Introduction 131 9.2 Gamma 131 9.3 The GOG Model 132 9.4 Device-Independent Transformation 133 9.5 Example Characterisation of CRT Display 134 9.6 Beyond CRT Displays 140 10. Characterisation of Cameras 143 10.1 Introduction 143 10.2 Correction for Nonlinearity 144 10.3 Correction for Lack of Spatial Uniformity 146 10.4 Characterisation 146 10.5 Example Characterisation of a Digital Camera 149 11. Characterisation of Printers 159 11.1 Introduction 159 11.1.1 Physical Models 160 11.1.2 Neural Networks 161 11.2 Characterisation of Half-Tone Printers 162 11.2.1 Correction for Nonlinearity 162 11.2.2 Neugebauer Models 163 11.2.3 Example Characterisation of a Half-Tone Printer 165 11.3 Characterisation of Continuous-Tone Printers 169 11.3.1 Kubelka-Munk Models 169 11.3.2 Interpolation of 3D Look-Up Tables 172 11.3.3 General Linear and Nonlinear Transforms 173 11.3.4 Example Characterisation of a Half-Tone Printer 173 12. Multispectral Imaging 179 12.1 Introduction 179 12.2 Computational Colour Constancy and Linear Models 180 12.2.1 Example Using MATLAB 181 12.3 Properties of Reflectance Spectra 182 12.3.1 PCA and SVD 183 12.3.2 SVD Using MATLAB 12.4 Application of SVD to Reflectance Recovery 189 12.5 Techniques for Multispectral Imaging 191 12.5.1 Maloney-Wandell Method 191 12.5.2 Imai-Berns Method 192 12.5.3 Shi-Healey Method 192 12.5.4 Methods Based on Maximum Smoothness 193 12.5.5 Device Characterisation Revisited 193 12.5.6 Spectral Recovery Using Low-Dimensional Linear Models in MATLAB 193 12.6 Fourier Operations on Reflectance Spectra 193 A. Table of White Points of Illuminants used in r2xyz and Other Functions 197 B. Colour Toolbox 199 B.1 Where to Find the Toolbox 199 B.2 How to Install the Toolbox 199 B.3 Summary of Toolbox Files 199 B.3.1 Computing CIE Tristimulus Values 199 B.3.2 CIELAB and Colour Difference 200 B.3.3 Chromatic-Adaptation Transforms and Colour Appearance 200 B.3.4 Physiological Colour Spaces 200 B.3.5 Colour Management 200 B.3.6 Display Characterisation 200 B.3.7 Characterisation of Cameras 201 B.3.8 Characterisation of Printers 201 References 203 Index 213