| Preface | 6 |
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| Contents | 8 |
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| Introduction | 15 |
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| Computer Graphics | 15 |
| Abstraction Paradigms | 17 |
| About This Book | 19 |
| Comments and References | 22 |
| Signal Theory | 26 |
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| Abstraction Paradigms | 26 |
| Levels of Abstraction | 27 |
| Mathematical Models for Signals | 28 |
| Approximation of Signals | 29 |
| Functional Models and Abstraction Levels | 31 |
| The Spatial Model | 32 |
| The Frequency Model | 35 |
| Linear Representation of Signals | 40 |
| Existence of Exact Representations | 42 |
| Operations on Signals | 45 |
| Filters | 45 |
| Transforms | 46 |
| Filtering and Frequencies | 47 |
| Sampling Theory | 48 |
| Uniform Point Sampling | 49 |
| Point Sampling and the Fourier Transform | 51 |
| The Sampling Theorem | 54 |
| Extensions of the Sampling Theorem | 57 |
| Operations in the Discrete Domain | 59 |
| Discrete Convolution | 60 |
| The Discrete Fourier Transform | 60 |
| The Inverse Discrete Transform | 63 |
| Properties of the DFT | 63 |
| The Discrete Transform on the Interval [0,A] | 64 |
| Matrix Representation of the DFT | 65 |
| The Fast Fourier Transform | 65 |
| Finite Transform | 66 |
| Comments and References | 66 |
| Random Processes | 69 |
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| Random Variables | 69 |
| Stochastic Processes | 75 |
| Point Processes | 77 |
| Homogeneous Processes with Independence | 77 |
| Inhomogeneity and/or Dependence | 80 |
| Comments and References | 84 |
| Fundamentals of Color | 86 |
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| Paradigms in the Study of Color | 86 |
| The Physical Universe of Color | 87 |
| Color Formation | 87 |
| Photometry and Colorimetry | 89 |
| The Mathematical Universe of Color | 90 |
| The Representation Universe of Color | 91 |
| Color Sampling | 91 |
| Color Reconstruction | 94 |
| Computation of Primary Components | 96 |
| CIE-RGB Representation | 99 |
| Color Matching Experiments | 101 |
| Luminance and Chrominance | 102 |
| The Color Solid | 106 |
| Chromaticity Space | 106 |
| Grassmann's Laws | 109 |
| Comments and References | 111 |
| Color Systems | 113 |
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| Preliminary Notions | 113 |
| Changing Between Color Systems | 114 |
| Color Systems and Computer Graphics | 116 |
| Standard Color Systems | 116 |
| The CIE-RGB Standard | 117 |
| The CIE-XYZ Standard | 118 |
| Changing Between the CIE-RGB and CIE-XYZSystems | 120 |
| Complementary Color Systems | 125 |
| Uniform Color Systems | 126 |
| Device Color Systems | 127 |
| The Monitor RGB System | 127 |
| Monitor-Complementary Systems | 129 |
| Component Video Systems | 130 |
| Composite Video Systems | 134 |
| Color Interface Systems | 135 |
| The HSV System | 137 |
| The HSL System | 139 |
| The Munsell System | 139 |
| The Pantone System | 141 |
| Computational Color Systems | 142 |
| Color Transformations | 143 |
| Comments and References | 143 |
| Digital Images | 145 |
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| Abstraction Paradigms for Images | 145 |
| The Spatial Model | 146 |
| Continuous Images | 146 |
| Image Representation | 148 |
| Digital Images | 149 |
| Digital Topology | 151 |
| Pixel Shape | 152 |
| Comments and References | 155 |
| Operations on Images | 157 |
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| Arithmetic Operations | 157 |
| Filters | 159 |
| Classification | 160 |
| Morphological Filters | 162 |
| Spatially Invariant Filters | 164 |
| Spatially Invariant Linear Filters | 165 |
| Discrete Filters | 167 |
| Extending the Domain of the Image | 172 |
| Examples of Linear Filters | 176 |
| Edge Enhancement Operations | 189 |
| Laplacian Addition | 189 |
| Unsharp Masking | 192 |
| Difference of Gaussians | 193 |
| Comments and References | 194 |
| Sampling and Reconstruction | 197 |
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| Sampling | 197 |
| Time-Domain Viewpoint | 197 |
| Frequency-Domain Viewpoint | 198 |
| Reconstruction | 198 |
| Frequency Domain Viewpoint | 198 |
| Time-Domain Viewpoint | 199 |
| Aliasing | 201 |
| Aliasing in Computer-Generated Images | 204 |
| Reconstruction Problems | 206 |
| Reconstruction Using a Box Filter | 207 |
| Analysis of Reconstruction Problems | 208 |
| Some Classical Reconstruction Filters | 210 |
| A Study of
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