Extension of Coupled Nonlinear Diffusion to Motion De-blurring-Introduction of Anisotropic Peaking-

We previously presented a method of selectively sharpening images based on a coupled nonlinear diffusion process that was composed of a nonlinear diffusion term, a fidelity term, and an isotropic peaking term. It could sharpen blurred edges without increasing noise visibility. This paper extends our method to the removal of blurs in images due to image motion. Motion blur is not only shift-variant but also anisotropic. To adapt our method to motion de-blurring, we replaced our isotropic peaking term, with an anisotropic peaking term steered in the direction of motion. We then derived discrete calculus to adapt it to the direction of motion. Through experiments with a test image containing artificial motion-blurs, we quantitatively evaluated sharpening. Our method with the anisotropic peaking term performed better than our prototypal method with the isotropic peaking term, and was robust against errors in the direction of motion.