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Proceedings Paper

Anisotropic diffusion driven by diffusion tensors
Author(s): Yunmei Chen; Stacey Chastain
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Paper Abstract

We present a system of PDEs for image restoration consisting of an anisotropic diffusion equation driven by a diffusion tensor which governs the direction and the speed of the diffusion. The structure of the diffusion tensor depends on the gradient on the image obtained from a coupled time-delay regularization equation. The diffusion resulting from this model is isotropic inside a homogeneous region and anisotropic along its boundary. Experimental results are given to show its effectiveness in tracking edges, recovering images with high levels of noise, and enhancing coherent structures. The existence, uniqueness and stability for the solutions of the PDEs are discussed.

Paper Details

Date Published: 4 October 2000
PDF: 10 pages
Proc. SPIE 4121, Mathematical Modeling, Estimation, and Imaging, (4 October 2000); doi: 10.1117/12.402435
Show Author Affiliations
Yunmei Chen, Univ. of Florida (United States)
Stacey Chastain, Univ. of Florida (United States)

Published in SPIE Proceedings Vol. 4121:
Mathematical Modeling, Estimation, and Imaging
David C. Wilson; Hemant D. Tagare; Fred L. Bookstein; Francoise J. Preteux; Edward R. Dougherty, Editor(s)

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