Generalized Spatio-Chromatic Diffusion

A framework for diffusion of color images is presented. The method is based on the theory of thermodynamics of irreversible transformations which provides a suitable basis for designing correlations between the different color channels. More precisely, we derive an equation for color evolution which comprises a purely spatial diffusive term and a nonlinear term that depends on the interactions among color channels over space. We apply the proposed equation to images represented in several color spaces, such as RGB, CIELAB, Opponent colors, and IHS.

[1]  Andrew P. Witkin,et al.  Scale-space filtering: A new approach to multi-scale description , 1984, ICASSP.

[2]  Alan L. Yuille,et al.  Fundamental bounds on edge detection: an information theoretic evaluation of different edge cues , 1999, Proceedings. 1999 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (Cat. No PR00149).

[3]  Bart M. ter Haar Romeny,et al.  Geometry-Driven Diffusion in Computer Vision , 1994, Computational Imaging and Vision.

[4]  Song-Chun Zhu,et al.  Prior Learning and Gibbs Reaction-Diffusion , 1997, IEEE Trans. Pattern Anal. Mach. Intell..

[5]  Luc Florack.  Non-Linear Scale-Spaces Isomorphic to the Linear Case with Applications to Scalar, Vector and Multispectral Images , 2004, Journal of Mathematical Imaging and Vision.

[6]  J. Koenderink.  The structure of images , 2004, Biological Cybernetics.

[7]  Guillermo Sapiro,et al.  Anisotropic diffusion of multivalued images with applications to color filtering , 1996, IEEE Trans. Image Process..

[8]  Pietro Perona.  Orientation diffusions , 1998, IEEE Trans. Image Process..

[9]  Luc Florack,et al.  Image Structure , 1997, Computational Imaging and Vision.

[10]  Ioannis Pitas,et al.  Digital Image Processing Algorithms , 1993 .

[11]  John F. Canny,et al.  A Computational Approach to Edge Detection , 1986, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[12]  Terry Caelli,et al.  On the classification of image regions by colour, texture and shape , 1993, Pattern Recognit..

[13]  Thierry Carron,et al.  Color edge detector using jointly hue, saturation and intensity , 1994, Proceedings of 1st International Conference on Image Processing.

[14]  Guido Gerig,et al.  Vector-Valued Diffusion , 1994, Geometry-Driven Diffusion in Computer Vision.

[15]  Azriel Rosenfeld,et al.  Computer Vision , 1988, Adv. Comput..

[16]  Luc Florack.  Non-Linear Scale-Spaces Isomorphic to the Linear Case with Applications to Scalar, Vector and Multispectral Images , 2004, International Journal of Computer Vision.

[17]  W D Wright,et al.  Color Science, Concepts and Methods. Quantitative Data and Formulas , 1967 .

[18]  Tony Lindeberg,et al.  Scale-Space Theory in Computer Vision , 1993, Lecture Notes in Computer Science.

[19]  Tony Lindeberg,et al.  Shape-Adapted Smoothing in Estimation of 3-D Depth Cues from Affine Distortions of Local 2-D Brightness Structure , 1994, ECCV.

[20]  Joachim Weickert,et al.  Anisotropic diffusion in image processing , 1996 .

[21]  Terry Caelli,et al.  On the Representation of Image Structures via Scale Space Entropy Conditions , 1999, IEEE Trans. Pattern Anal. Mach. Intell..

[22]  G. Wyszecki,et al.  Color Science Concepts and Methods , 1982 .

[23]  Stephen Grossberg,et al.  Spatial facilitation by color and luminance edges: boundary, surface, and attentional factors 1 Supported in part by Defense Advanced Research Projects Agency and the Office of Naval Research (ONR N00014-95-1-0409 and ONR N00014-95-1-0657). 1 , 1999, Vision Research.

[24]  Joachim Weickert,et al.  Coherence-enhancing diffusion of colour images , 1999, Image Vis. Comput..

[25]  Ron Kimmel,et al.  A general framework for low level vision , 1998, IEEE Trans. Image Process..

[26]  Guillermo Sapiro,et al.  Color image enhancement via chromaticity diffusion , 2001, IEEE Trans. Image Process..

[27]  Andrew P. Witkin,et al.  Scale-Space Filtering , 1983, IJCAI.

[28]  Panos E. Trahanias,et al.  Vector directional filters-a new class of multichannel image processing filters , 1993, IEEE Trans. Image Process..

[29]  Luc Van Gool,et al.  Coupled Geometry-Driven Diffusion Equations for Low-Level Vision , 1994, Geometry-Driven Diffusion in Computer Vision.

[30]  Terry Caelli,et al.  Encoding Visual Information Using Anisotropic Transformations , 2001, IEEE Trans. Pattern Anal. Mach. Intell..

[31]  Jitendra Malik,et al.  Scale-Space and Edge Detection Using Anisotropic Diffusion , 1990, IEEE Trans. Pattern Anal. Mach. Intell..

[32]  Gunther Wyszecki,et al.  Color Science: Concepts and Methods, Quantitative Data and Formulae, 2nd Edition , 2000 .

[33]  P.K Sahoo,et al.  A survey of thresholding techniques , 1988, Comput. Vis. Graph. Image Process..

[34]  Mark Nitzberg,et al.  Nonlinear Image Filtering with Edge and Corner Enhancement , 1992, IEEE Trans. Pattern Anal. Mach. Intell..