Nonlocal Adaptive Biharmonic Regularizer for Image Restoration

EasyChair Preprint 4379

Abstract

In this paper, we propose a nonlocal adaptive biharmonic regularization term for image denoising and restoration, combining the advantages of fourth order models (without staircase effects and preserving slops) and nonlocal methods (preserving textures). For its numerical solution, we employ $L^2$ gradient descent and finite difference schemes and design explicit, semi-implicit, and implicit schemes. Numerical results for denoising and restoration are shown on synthetic images, real images, and texture images.

Keyphrases: Nonlocal Laplace operator, Nonlocal Method, fourth order, image restoration, local fourth order model, noise removal, staircase effect, texture image

@booklet{EasyChair:4379,
  author    = {Ying Wen and Luminita Vese},
  title     = {Nonlocal Adaptive Biharmonic Regularizer for Image Restoration},
  howpublished = {EasyChair Preprint 4379},
  year      = {EasyChair, 2020}}