Convex regularized inverse filtering methods for blind image deconvolution

Wei Wang*, Kwok Po NG

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)

Abstract

In this paper, we study a regularized inverse filtering method for blind image deconvolution. The main idea is to make use of nonnegativity and support constraints, and to incorporate regularization terms to establish a convex programming model which aims to determine an inverse filter for image deconvolution. Because of the convexity of the proposed energy functional, the existence of the solution can be guaranteed. We employ the alternating direction method of multipliers to solve the resulting optimization problem. In this paper, we consider three possible regularization methods in the inverse filtering, namely total variation, nonlocal total variation, and framelet approaches. Experimental results of these regularization methods are reported to show that the performance of the proposed methods is better than the other testing methods for several testing images.

Original languageEnglish
Pages (from-to)1353-1360
Number of pages8
JournalSignal, Image and Video Processing
Volume10
Issue number7
DOIs
Publication statusPublished - 1 Oct 2016

Scopus Subject Areas

  • Signal Processing
  • Electrical and Electronic Engineering

User-Defined Keywords

  • Convexity
  • Image deconvolution
  • Inverse filter
  • Nonnegativity
  • Regularization
  • Support

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