Image restoration based on topological properties of functions of two variables
Artyom Makovetskii, Vitaly Kober · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 2012
Image restoration refers to the problem of estimating an ideal image from its observed degraded one. Functions of two variables can be well described with two variations. One of them is a total variation for continuously differentiable functions. Another one is called a linear variation. The linear variation is a topological characteristic of a function of two variables whereas the total variation is a metrical characteristic of a function. A restoration algorithm based on both total variation-based regularization and variations is proposed. Computer simulation results illustrate the performance of the proposed algorithm for restoration of blurred images.