A two level finite volume method for Perona and Malik equation used in denoising
Guoliang He, Liu Yang · 2016
The development of image processing methods based on partial differential equations, such as denoising, restoration, segmentation and so on, is an emerging field in the last decade, where a large number of models are second order nonlinear diffusion equations. In this article, we present a two level finite volume method to solve the Perona and Malik (P-M) equation. The method involves solving one small implicit Perona and Malik problem on the coarse mesh system, and an explicit Perona and Malik problem on the fine mesh. The numerical results demonstrate that the two level method is efficient and can save a large amount of computational time than the standard FVM method.