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Anisotropic diffusion of multivalued images with applications to color filtering.

Publication ,  Journal Article
Sapiro, G; Ringach, DL
Published in: IEEE transactions on image processing : a publication of the IEEE Signal Processing Society
January 1996

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.

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Published In

IEEE transactions on image processing : a publication of the IEEE Signal Processing Society

DOI

EISSN

1941-0042

ISSN

1057-7149

Publication Date

January 1996

Volume

5

Issue

11

Start / End Page

1582 / 1586

Related Subject Headings

  • Artificial Intelligence & Image Processing
  • 4607 Graphics, augmented reality and games
  • 4603 Computer vision and multimedia computation
  • 1702 Cognitive Sciences
  • 0906 Electrical and Electronic Engineering
  • 0801 Artificial Intelligence and Image Processing
 

Citation

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Sapiro, G., & Ringach, D. L. (1996). Anisotropic diffusion of multivalued images with applications to color filtering. IEEE Transactions on Image Processing : A Publication of the IEEE Signal Processing Society, 5(11), 1582–1586. https://doi.org/10.1109/83.541429
Sapiro, G., and D. L. Ringach. “Anisotropic diffusion of multivalued images with applications to color filtering.IEEE Transactions on Image Processing : A Publication of the IEEE Signal Processing Society 5, no. 11 (January 1996): 1582–86. https://doi.org/10.1109/83.541429.
Sapiro G, Ringach DL. Anisotropic diffusion of multivalued images with applications to color filtering. IEEE transactions on image processing : a publication of the IEEE Signal Processing Society. 1996 Jan;5(11):1582–6.
Sapiro, G., and D. L. Ringach. “Anisotropic diffusion of multivalued images with applications to color filtering.IEEE Transactions on Image Processing : A Publication of the IEEE Signal Processing Society, vol. 5, no. 11, Jan. 1996, pp. 1582–86. Epmc, doi:10.1109/83.541429.
Sapiro G, Ringach DL. Anisotropic diffusion of multivalued images with applications to color filtering. IEEE transactions on image processing : a publication of the IEEE Signal Processing Society. 1996 Jan;5(11):1582–1586.

Published In

IEEE transactions on image processing : a publication of the IEEE Signal Processing Society

DOI

EISSN

1941-0042

ISSN

1057-7149

Publication Date

January 1996

Volume

5

Issue

11

Start / End Page

1582 / 1586

Related Subject Headings

  • Artificial Intelligence & Image Processing
  • 4607 Graphics, augmented reality and games
  • 4603 Computer vision and multimedia computation
  • 1702 Cognitive Sciences
  • 0906 Electrical and Electronic Engineering
  • 0801 Artificial Intelligence and Image Processing