Digital Color Imaging

This collective work identifies the latest developments in the field of the automatic processing and analysis of digital color images.
For researchers and students, it represents a critical state of the art on the scientific issues raised by the various steps constituting the chain of color image processing.
It covers a wide range of topics related to computational color imaging, including color filtering and segmentation, color texture characterization, color invariant for object recognition, color and motion analysis, as well as color image and video indexing and retrieval.

Contents

1. Color Representation and Processing in Polar Color Spaces, Jesús Angulo, Sébastien Lefèvre and Olivier Lezoray.
2. Adaptive Median Color Filtering, Frédérique Robert-Inacio and Eric Dinet.
3. Anisotropic Diffusion PDEs for Regularization of Multichannel Images: Formalisms and Applications, David Tschumperlé.
4. Linear Prediction in Spaces with Separate Achromatic and Chromatic Information,Olivier Alata, Imtnan Qazi, Jean-Christophe Burie and Christine Fernandez-Maloigne.
5. Region Segmentation, Alain Clément, Laurent Busin, Olivier Lezoray and Ludovic Macaire.
6. Color Texture Attributes, Nicolas Vandenbroucke, Olivier Alata, Christèle Lecomte, Alice Porebski and Imtnan Qazi.
7. Photometric Color Invariants for Object Recognition, Damien Muselet.
8. Color Key Point Detectors and Local Color Descriptors, Damien Muselet and Xiaohu Song.
9. Motion Estimation in Color Image Sequences, Bertrand Augereau and Jenny Benois-Pineau.

Foreword xi
Henri Maître

Chapter 1. Color Representation and Processing in Polar Color Spaces 1
Jesús Angulo, Sébastien Lefèvre and Olivier Lezoray

1.1. Introduction 1

1.2. The HSI triplet 3

1.3. Processing of hue: a variable on the unit circle 8

1.4. Color morphological filtering in the HSI space 15

1.5. Morphological color segmentation in the HSI space 24

1.6. Conclusion 35

1.7. Bibliography 36

Chapter 2. Adaptive Median Color Filtering 41
Frédérique Robert-Inacio and Eric Dinet

2.1. Introduction 41

2.2. Noise 42

2.3. Nonlinear filtering 47

2.4. Median filter: methods derived from vector methods 51

2.5. Adaptive filters 60

2.6. Performance comparison 66

2.7. Conclusion 71

2.8. Bibliography 72

Chapter 3. Anisotropic Diffusion PDEs for Regularization of Multichannel Images: Formalisms and Applications 75
David Tschumperlé

3.1. Introduction 75

3.2. Preliminary concepts 80

3.3. Local geometry in multi-channel images 81

3.4. PDEs for multi-channel image smoothing: overview 87

3.5. Regularization and curvature preservation 102

3.6. Numerical implementation 109

3.7. Some applications 112

3.8. Conclusion 116

3.9. Bibliography 116

Chapter 4. Linear Prediction in Spaces with Separate Achromatic and Chromatic Information 123
Olivier Alata, Imtnan Qazi, Jean-Christophe Burie and Christine Fernandez-Maloigne

4.1. Introduction 123

4.2. Complex vector 2D linear prediction 124

4.3. Spectral analysis in the IHLS and L*a*b* color spaces 129

4.4. Application to segmentation of textured color images 136

4.5. Conclusion 145

4.6. Bibliography 146

Chapter 5. Region Segmentation 149
Alain Clément, Laurent Busin, Olivier Lezoray and Ludovic Macaire

5.1. Introduction 149

5.2. Compact histograms 150

5.3. Spatio-colorimetric classification 158

5.4. Segmentation by graph analysis 167

5.5. Evaluation of segmentation methods against a “ground truth” 181

5.6. Conclusion 186

5.7. Bibliography 187

Chapter 6. Color Texture Attributes 193
Nicolas Vandenbroucke, Olivier Alata, Christèle Lecomte, Alice Porebski and Imtnan Qazi

6.1. Introduction 193

6.2. Statistical features 201

6.3. Spatio-frequential features 213

6.4. Stochastic modeling 217

6.5. Color texture classification 223

6.6. Conclusion 232

6.7. Bibliography 233

Chapter 7. Photometric Color Invariants for Object Recognition 241
Damien Muselet

7.1. Introduction 241

7.2. Basic assumptions 246

7.3. Color invariant characteristics 255

7.4. Conclusion 280

7.5. Bibliography 280

Chapter 8. Color Key Point Detectors and Local Color Descriptors 285
Damien Muselet and Xiaohu Song

8.1. Introduction 285

8.2. Color key point and region detectors 286

8.3. Local color descriptors 299

8.4. Conclusion 308

8.5. Bibliography 309

Chapter 9. Motion Estimation in Color Image Sequences 317
Bertrand Augereau and Jenny Benois-Pineau

9.1. Introduction 317

9.2. Extension of classical motion estimation techniques to color image spaces 318

9.3. Apparent motion and vector images 324

9.4. Conclusion 334

9.5. Bibliography 336

Appendix A. Appendix to Chapter 7: Summary of Hypotheses and Color Characteristic Invariances 339

A.1.Bibliography 344

List of Authors 345

Index 349

Christine FERNANDEZ-MALOIGNE is Professor at Poitiers University, Manager of Xlim-SIC Laboratory, Chasseneuil, France.

Frédérique ROBERT-INACIO is Researcher at IM2NP and lecturer at ISEN, Toulon, France.

Ludovic MACAIRE is Full Professor at Lille 1 University,LAGIS Laboratory, Villeneuve d'Asq, France.