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Foreword | p. xi |
Color Representation and Processing in Polar Color Spaces | p. 1 |
Introduction | p. 1 |
Notations used in this chapter | p. 2 |
The HSI triplet | p. 3 |
Intuitive approach: basic concepts and state of the art | p. 3 |
Geometric approach: calculation of polar coordinates | p. 5 |
Processing of hue: a variable on the unit circle | p. 8 |
Can hue be represented as a scalar? | p. 8 |
Ordering based on distance from a reference hue | p. 9 |
Ordering with multiple references | p. 11 |
Determination of reference hues | p. 13 |
Color morphological filtering in the HSI space | p. 15 |
Chromatic and achromatic top-hat transforms | p. 16 |
Full ordering using lexicographical cascades | p. 20 |
Morphological color segmentation in the HSI space | p. 24 |
Color distances and segmentation by connective criteria | p. 25 |
Color gradients and watershed segmentation | p. 31 |
Conclusion | p. 35 |
Bibliography | p. 36 |
Adaptive Median Color Filtering | p. 41 |
Introduction | p. 41 |
Noise | p. 42 |
Sources of noise | p. 43 |
Noise modeling | p. 45 |
Nonlinear filtering | p. 47 |
Vector methods | p. 48 |
Median filter using bit mixing | p. 50 |
Median filter: methods derived from vector methods | p. 51 |
Vector filtering | p. 51 |
Switching vector and peer group filters | p. 53 |
Hybrid switching vector filter | p. 55 |
Fuzzy filters | p. 56 |
Adaptive filters | p. 60 |
Spatially adaptive filter: generic method | p. 60 |
Spatially adaptive median filter | p. 62 |
Performance comparison | p. 66 |
FSVF | p. 67 |
FRF | p. 67 |
PGF and FMPGF | p. 68 |
IPGSVF | p. 68 |
Vector filters and spatially adaptive median filter | p. 69 |
Conclusion | p. 71 |
Bibliography | p. 72 |
Anisotropic Diffusion PDEs for Regularization of Multichannel Images: Formalisms and Applications | p. 75 |
Introduction | p. 75 |
Preliminary concepts | p. 80 |
Local geometry in multi-channel images | p. 81 |
Which geometric characteristics? | p. 81 |
Geometry estimated using a scalar characteristic | p. 82 |
Di Zenzo multi-valued geometry | p. 83 |
PDEs for multi-channel images smoothing: overview | p. 87 |
Variational methods | p. 88 |
Divergence PDEs | p. 91 |
Oriented Laplacian PDEs | p. 94 |
Trace PDEs | p. 97 |
Regularization and curvature preservation | p. 102 |
Single smoothing direction | p. 103 |
Analogy with line integral convolutions | p. 105 |
Extension to multi-directional smoothing | p. 107 |
Numerical implementation | p. 109 |
Some applications | p. 112 |
Conclusion | p. 116 |
Bibliography | p. 116 |
Linear Prediction in Spaces with Separate Achromatic and Chromatic Information | p. 123 |
Introduction | p. 123 |
Complex vector 2D linear prediction | p. 124 |
Spectral analysis in the IHLS and L*a*b* color spaces | p. 129 |
Comparison of PSD estimation methods | p. 129 |
Study of inter-channel interference associated with color space changing transformations | p. 132 |
Application to segmentation of textured color images | p. 136 |
Prediction error distribution | p. 136 |
Label field estimation | p. 139 |
Experiments and results | p. 140 |
Conclusion | p. 145 |
Bibliography | p. 146 |
Region Segmentation | p. 149 |
Introduction | p. 149 |
Compact histograms | p. 150 |
Classical multi-dimensional histogram | p. 151 |
Compact multi-dimensional histogram | p. 152 |
Pixel classification through compact histogram analysis | p. 156 |
Spatio-colorimetric classification | p. 158 |
Introduction | p. 158 |
Joint analysis | p. 158 |
Successive analysis | p. 164 |
Conclusion | p. 166 |
Segmentation by graph analysis | p. 167 |
Graphs and color images | p. 167 |
Semi-supervised classification using graphs | p. 173 |
Spectral classification applied to color image segmentation | p. 176 |
Evaluation of segmentation methods against a "ground truth" | p. 181 |
Conclusion | p. 186 |
Bibliography | p. 187 |
Color Texture Attributes | p. 193 |
Introduction | p. 193 |
Concept of color texture | p. 194 |
Color texture feature specificities | p. 197 |
Image databases | p. 199 |
Applications involving color texture characterization | p. 201 |
Statistical features | p. 201 |
Statistical features describing color distribution | p. 202 |
Second-order statistical features | p. 203 |
Higher-order statistical features | p. 211 |
Conclusion | p. 213 |
Spatio-frequential features | p. 213 |
Gabour transform | p. 215 |
Wavelet transform | p. 216 |
Stochastic modeling | p. 217 |
Markov fields | p. 218 |
Linear prediction models | p. 221 |
Color texture classification | p. 223 |
Color and texture approaches | p. 224 |
Color texture and choice of color space | p. 226 |
Experimental results | p. 229 |
Conclusion | p. 232 |
Bibliography | p. 233 |
Photometric Color Invariants for Object Recognition | p. 241 |
Introduction | p. 241 |
Object recognition | p. 241 |
Compromise between discriminating power and invariance | p. 244 |
Content of this chapter | p. 245 |
Basic assumptions | p. 246 |
Hypotheses on color formation | p. 246 |
Assumptions on the reflective properties of surface elements | p. 248 |
Assumptions on camera sensor responses | p. 249 |
Assumptions on the characteristics of the illumination | p. 250 |
Hypotheses of the photometric and radiometric variation model | p. 252 |
Color invariant characteristics | p. 255 |
Inter- and intra-component color ratios | p. 256 |
Transformations based on analysis of colorimetric distributions | p. 266 |
Invariant derivatives | p. 268 |
Conclusion | p. 280 |
Bibliography | p. 280 |
Color Key Point Detectors and Local Color Descriptors | p. 285 |
Introduction | p. 285 |
Color key point and region detectors | p. 286 |
Detector quality criteria | p. 286 |
Color key points | p. 288 |
Color key regions | p. 293 |
Simulation of human visual system | p. 295 |
Learning for detection | p. 297 |
Local color descriptors | p. 299 |
Concatenation of two types of descriptors | p. 300 |
Two successive stages for image comparison | p. 302 |
Parallel comparisons | p. 304 |
Spatio-colorimetric descriptors | p. 306 |
Conclusion | p. 308 |
Bibliography | p. 309 |
Motion Estimation in Color Image Sequences | p. 317 |
Introduction | p. 317 |
Extension of classical motion estimation techniques to color image spaces | p. 318 |
Luminance images and optical flow | p. 318 |
Estimation of optical flow in color spaces | p. 319 |
Apparent motion and vector images | p. 324 |
Motion and structure tensor in the scalar case | p. 324 |
Stability of tensor spectral directions | p. 325 |
Vector approach to optical flow | p. 326 |
Conclusion | p. 334 |
Bibliography | p. 336 |
Appendix to Chapter 7: Summary of Hypotheses and Color Characteristics Invariances | p. 339 |
Bibliography | p. 344 |
List of Authors | p. 345 |
Index | p. 349 |
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