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Nonlocal Adaptive Biharmonic Regularizer for Image Restoration

EasyChair Preprint no. 4379

12 pagesDate: October 12, 2020


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

BibTeX entry
BibTeX does not have the right entry for preprints. This is a hack for producing the correct reference:
  author = {Ying Wen and Luminita Vese},
  title = {Nonlocal Adaptive Biharmonic Regularizer for Image Restoration},
  howpublished = {EasyChair Preprint no. 4379},

  year = {EasyChair, 2020}}
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