Methods and algorithms of computational mathematics and their applications

Numerical image denoising and deblurring via an approximate weighted mean curvature flow model

A. A. Timonov<sup>ab

a</sup> St. Petersburg Department of V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences, St. Petersburg, Russia
^b University of South Carolina Upstate, Spartanburg, USA

Abstract: A new mathematical model for image denoising and deblurring is proposed and numerically implemented. It is based on a geometric differential equation that describes motion of a level surface of its solution by the weighted mean curvature. The numerical experiments are carried out to demonstrate the computational effectiveness of the proposed technique in comparison with the weighted total variation flow and VH-regularization.

Keywords: denoising and deblurring, total variation, weighted mean curvature, geometric equation, numerical experiments.

Received: 16.02.2024
Accepted: 10.03.2024

Language: English

DOI: 10.26089/NumMet.v25r210