Damped second order flow applied to image denoising

Author:

Baravdish G1,Svensson O1,Gulliksson M2,Zhang Y3

Affiliation:

1. Department of Science and Technology, Linköping University, 58183 Linköping, Sweden

2. School of Science and Technology, Örebro University, 70182 Örebro, Sweden

3. Shenzhen MSU-BIT University, 518172 Shenzhen, China, and School of Mathematics and Statistics, Beijing Institude of Technology, 100081 Beijing, China

Abstract

Abstract In this paper, we introduce a new image denoising model: the damped flow (DF), which is a second order nonlinear evolution equation associated with a class of energy functionals of an image. The existence, uniqueness and regularization property of DF are proven. For the numerical implementation, based on the Störmer–Verlet method, a discrete DF, SV-DDF, is developed. The convergence of SV-DDF is studied as well. Several numerical experiments, as well as a comparison with other methods, are provided to demonstrate the efficiency of SV-DDF.

Publisher

Oxford University Press (OUP)

Subject

Applied Mathematics

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