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 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 in the direction of minimal change, while the diffusion “strength” is controlled by a function that measures the degree of dissimilarity between the eigenvalues. The proposed framework can be applied to the filtering of color, texture, and space-frequency representations of images.
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© 1996 Springer-Verlag London Limited
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Sapiro, G., Ringach, D.L. (1996). Anisotropic diffusion of multivalued images. In: Berger, MO., Deriche, R., Herlin, I., Jaffré, J., Morel, JM. (eds) ICAOS '96. Lecture Notes in Control and Information Sciences, vol 219. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-76076-8_126
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DOI: https://doi.org/10.1007/3-540-76076-8_126
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