Anisotropic diffusion driven by diffusion tensors
Yunmei Chen, Stacey Chastain · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 2000
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.