2024 : 11 : 13
Sohrab Bazm

Sohrab Bazm

Academic rank: Associate Professor
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Education: PhD.
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Faculty: 1
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Research

Title
The Second-Order Shannon Total Generalized Variation for Image Restoration
Type
JournalPaper
Keywords
Total variation Total generalized variation Shannon TV Shannon TGV Image denoising Image deconvolution Primal-dual algorithm Staircase effects
Year
2022
Journal SIGNAL PROCESSING
DOI
Researchers Alireza Hosseini ، Sohrab Bazm

Abstract

In this paper, a Shannon-based second-order TGV (Shannon TGV) is proposed. Shannon first and second- order operators are defined and their corresponding adjoints are investigated leading to design a vari- ational model as an optimization problem. We obtain the dual form of the proposed model and utilize it to formulate imaging problems, i.e., denoising and deconvolution. Moreover, we examine numerically the effectiveness of the proposed scheme in imaging problems and compare the results to the classic total variation (TV), the second-order total generalized variation (TGV) and Shannon total variation. The outcomes confirm that the proposed model retains the advantages of both TGV and Shannon TV in elim- ination of artifacts simultaneously and admit the greater capability of the new model to remove artifacts.