Image Driven Isotropic Diffusivity and Complementary Regularization Approach for Image Denoising Problem

Authors

  • Memoona Pirzada Department of Mathematics and Statistics, Quaid-e-Awam, University of Engineering, Science and Technology, Nawabshah, Pakistan
  • Khuda Bux Amur Department of Mathematics and Statistics, Quaid-e-Awam, University of Engineering, Science and Technology, Nawabshah, Pakistan
  • Muzaffar Bashir Arain Department of Mathematics and Statistics, Quaid-e-Awam, University of Engineering, Science and Technology, Nawabshah, Pakistan
  • Rajab Ali Malookani Department of Mathematics and Statistics, Quaid-e-Awam, University of Engineering, Science and Technology, Nawabshah, Pakistan

DOI:

https://doi.org/10.21015/vtm.v10i1.1186

Abstract

We present the idea of image driven isotropic diffusivity along with complementary regularization for image denoising problem. The method is based on the optimization of a quadratic function in L2 norm. The minimization
of the energy functional leads to the Partial Differential equation (PDE)-based problem. We are looking for a steady state solution of equivalent time dependent problem. We discretize the problem with standard finite differences. The steady-state numerical solution of the time dependent problem leads to the iterative procedure, which allow to compute a regularized version of the solution as a denoised image. We have applied our designed model on synthetic as well as real images. The numerous experiments have been conducted to analyse the performance of the method for the different choices of scaling parameters. From the quality of the obtained results and comparative study it is observed that the proposed model performs well as compared to well existing methods.

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Published

2022-06-30

How to Cite

Pirzada, M., Amur, K. B., Arain, M. B., & Malookani, R. A. (2022). Image Driven Isotropic Diffusivity and Complementary Regularization Approach for Image Denoising Problem. VFAST Transactions on Mathematics, 10(1), 01–13. https://doi.org/10.21015/vtm.v10i1.1186

Issue

Vol. 10 No. 1 (2022): January-June

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