Anisotropic diffusion of multivalued images with applications to color filtering

by: G Sapiro, DL Ringach

Image Processing, IEEE Transactions on, Vol. 5, No. 11. (1996), pp. 1582-1586.

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Abstract

A general framework for anisotropic diffusion of multivalued images is presented. We propose an evolution equation where, at each point in time, the directions and magnitudes of the maximal and minimal rate of change in the vector-image are first evaluated. These are given by eigenvectors and eigenvalues of the first fundamental form in the given image metric. Then, the image diffuses via a system of coupled differential equations in the direction of minimal change. The diffusion “strength” is controlled by a function that measures the degree of dissimilarity between the eigenvalues. We apply the proposed framework to the filtering of color images represented in CIE-L*a*b* space

@article{citeulike:1902400, abstract = {A general framework for anisotropic diffusion of multivalued images is presented. We propose an evolution equation where, at each point in time, the directions and magnitudes of the maximal and minimal rate of change in the vector-image are first evaluated. These are given by eigenvectors and eigenvalues of the first fundamental form in the given image metric. Then, the image diffuses via a system of coupled differential equations in the direction of minimal change. The diffusion \“strength\” is controlled by a function that measures the degree of dissimilarity between the eigenvalues. We apply the proposed framework to the filtering of color images represented in CIE-L*a*b* space}, author = {Sapiro, G. and Ringach, D. L. }, booktitle = {Image Processing, IEEE Transactions on}, citeulike-article-id = {1902400}, journal = {Image Processing, IEEE Transactions on}, keywords = {colour, segmentation}, number = {11}, pages = {1582--1586}, posted-at = {2007-11-12 11:04:03}, priority = {0}, title = {Anisotropic diffusion of multivalued images with applications to color filtering}, url = {http://ieeexplore.ieee.org/xpls/abs\_all.jsp?arnumber=541429}, volume = {5}, year = {1996} }

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TY - JOUR ID - citeulike:1902400 L3 - citeulike-article-id:1902400 TI - Anisotropic diffusion of multivalued images with applications to color filtering T2 - Image Processing, IEEE Transactions on JF - Image Processing, IEEE Transactions on VL - 5 IS - 11 SP - 1582 EP - 1586 N2 - A general framework for anisotropic diffusion of multivalued images is presented. We propose an evolution equation where, at each point in time, the directions and magnitudes of the maximal and minimal rate of change in the vector-image are first evaluated. These are given by eigenvectors and eigenvalues of the first fundamental form in the given image metric. Then, the image diffuses via a system of coupled differential equations in the direction of minimal change. The diffusion “strength” is controlled by a function that measures the degree of dissimilarity between the eigenvalues. We apply the proposed framework to the filtering of color images represented in CIE-L*a*b* space KW - colour KW - segmentation AU - Sapiro, G AU - Ringach, DL PY - 1996/// UR - http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=541429 ER -

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