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, Jes s Angulo, S bastien Lef vre and Olivier Lezoray. 2. Adaptive Median Color Filtering, Fr d rique Robert-Inacio and Eric Dinet. 3. Anisotropic Diffusion PDEs for Regularization of Multichannel Images: Formalisms and Applications, David Tschumperl . 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 Cl ment, Laurent Busin, Olivier Lezoray and Ludovic Macaire. 6. Color Texture Attributes, Nicolas Vandenbroucke, Olivier Alata, Christ le 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.

This collective work identifies the latest developments in thefield of the automatic processing and analysis of digital colorimages.For researchers and students, it represents a critical state of theart on the scientific issues raised by the various stepsconstituting the chain of color image processing.It covers a wide range of topics related to computational colorimaging, including color filtering and segmentation, color texturecharacterization, color invariant for object recognition, color andmotion analysis, as well as color image and video indexing andretrieval.Contents1. Color Representation and Processing in Polar Color SpacesJesús Angulo, Sébastien Lefèvre and OlivierLezoray.2. Adaptive Median Color Filtering, FrédériqueRobert-Inacio and Eric Dinet.3. Anisotropic Diffusion PDEs for Regularization of MultichannelImages: Formalisms and Applications, David Tschumperlé.4. Linear Prediction in Spaces with Separate Achromatic andChromatic Information,Olivier Alata, Imtnan Qazi, Jean-ChristopheBurie and Christine Fernandez-Maloigne.5. Region Segmentation, Alain Clément, Laurent Busin, OlivierLezoray and Ludovic Macaire.6. Color Texture Attributes, Nicolas Vandenbroucke, Olivier AlataChristèle Lecomte, Alice Porebski and Imtnan Qazi.7. Photometric Color Invariants for Object Recognition, DamienMuselet.8. Color Key Point Detectors and Local Color Descriptors, DamienMuselet and Xiaohu Song.9. Motion Estimation in Color Image Sequences, Bertrand Augereauand Jenny Benois-Pineau.

Foreword xiHenri MaîtreChapter 1. Color Representation and Processing in Polar ColorSpaces 1Jesús Angulo, Sébastien Lefèvre and OlivierLezoray1.1. Introduction 11.2. The HSI triplet 31.3. Processing of hue: a variable on the unit circle 81.4. Color morphological filtering in the HSI space 151.5. Morphological color segmentation in the HSI space 241.6. Conclusion 351.7. Bibliography 36Chapter 2. Adaptive Median Color Filtering 41Frédérique Robert-Inacio and Eric Dinet2.1. Introduction 412.2. Noise 422.3. Nonlinear filtering 472.4. Median filter: methods derived from vector methods 512.5. Adaptive filters 602.6. Performance comparison 662.7. Conclusion 712.8. Bibliography 72Chapter 3. Anisotropic Diffusion PDEs for Regularization ofMultichannel Images: Formalisms and Applications 75David Tschumperlé3.1. Introduction 753.2. Preliminary concepts 803.3. Local geometry in multi-channel images 813.4. PDEs for multi-channel image smoothing: overview 873.5. Regularization and curvature preservation 1023.6. Numerical implementation 1093.7. Some applications 1123.8. Conclusion 1163.9. Bibliography 116Chapter 4. Linear Prediction in Spaces with SeparateAchromatic and Chromatic Information 123Olivier Alata, Imtnan Qazi, Jean-Christophe Burie and ChristineFernandez-Maloigne4.1. Introduction 1234.2. Complex vector 2D linear prediction 1244.3. Spectral analysis in the IHLS and L*a*b* color spaces1294.4. Application to segmentation of textured color images1364.5. Conclusion 1454.6. Bibliography 146Chapter 5. Region Segmentation 149Alain Clément, Laurent Busin, Olivier Lezoray and LudovicMacaire5.1. Introduction 1495.2. Compact histograms 1505.3. Spatio-colorimetric classification 1585.4. Segmentation by graph analysis 1675.5. Evaluation of segmentation methods against a "groundtruth" 1815.6. Conclusion 1865.7. Bibliography 187Chapter 6. Color Texture Attributes 193Nicolas Vandenbroucke, Olivier Alata, Christèle Lecomte, AlicePorebski and Imtnan Qazi6.1. Introduction 1936.2. Statistical features 2016.3. Spatio-frequential features 2136.4. Stochastic modeling 2176.5. Color texture classification 2236.6. Conclusion 2326.7. Bibliography 233Chapter 7. Photometric Color Invariants for ObjectRecognition 241Damien Muselet7.1. Introduction 2417.2. Basic assumptions 2467.3. Color invariant characteristics 2557.4. Conclusion 2807.5. Bibliography 280Chapter 8. Color Key Point Detectors and Local ColorDescriptors 285Damien Muselet and Xiaohu Song8.1. Introduction 2858.2. Color key point and region detectors 2868.3. Local color descriptors 2998.4. Conclusion 3088.5. Bibliography 309Chapter 9. Motion Estimation in Color Image Sequences317Bertrand Augereau and Jenny Benois-Pineau9.1. Introduction 3179.2. Extension of classical motion estimation techniques tocolor image spaces 3189.3. Apparent motion and vector images 3249.4. Conclusion 3349.5. Bibliography 336Appendix A. Appendix to Chapter 7: Summary of Hypotheses andColor Characteristic Invariances 339A.1.Bibliography 344List of Authors 345Index 349