Anisotropic diffusion driven by diffusion tensors

Yunmei Chen; Stacey Chastain

doi:10.1117/12.402435

4 October 2000 Anisotropic diffusion driven by diffusion tensors

Yunmei Chen, Stacey Chastain

Proceedings Volume 4121, Mathematical Modeling, Estimation, and Imaging; (2000) https://doi.org/10.1117/12.402435
Event: International Symposium on Optical Science and Technology, 2000, San Diego, CA, United States

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.

Citation Download Citation

Yunmei Chen and Stacey Chastain "Anisotropic diffusion driven by diffusion tensors", Proc. SPIE 4121, Mathematical Modeling, Estimation, and Imaging, (4 October 2000); https://doi.org/10.1117/12.402435

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