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Volume 9, Number 6, 2019, Pages 2070-2095                                                                DOI:10.11948/20170189
A new nonlocal model for the restoration of textured images
Fahd Karami,Driss Meskine,Khadija Sadik
Keywords:Image denoising, nonlocal model, schaeffer''s fixed point theorem, textured images, nonlocal p-Laplacian.
      In this paper, we focus on the mathematical and numerical study of a new nonlocal reaction-diffusion system for image denoising. This model is motivated by involving the decomposition approach of $H^{-1}$ norm suggested by Meyer [25] which is more appropriate to represent the oscillatory patterns and small details in the textured image. Based on Schaeffer''s fixed point theorem, we prove the existence and uniqueness of solution of the proposed model. To illustrate the efficiency and effectiveness of our model, we test the denoising experimental results as well we compare with some existing models in the literature.
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