Analysis of a new variational model for image multiplicative denoising

摘要

In this paper, we study the mathematical properties of a new variational model for image multiplicative noise removal. Some important properties of the model, including the lower semicontinuity, the differential property, the convergence and regularization property, are established for the first time. The existence and uniqueness of a solution for the problem as well as a comparison principle have also been established. MSC: Primary 49J40; 65K10; secondary 94A08.