Directional total variation

Ilker Bayram*, Mustafa E. Kamasak

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

88 Citations (Scopus)

Abstract

This paper introduces a directional total variation (TV) where the gradients are weighted depending on their direction. The introduced directional TV has increased (and tunable) sensitivity to variations at a selected direction. In order to demonstrate the utility of the directional TV, we consider an image denoising formulation. This formulation requires the realization of the proximal map of the directional TV. Therefore, it is relevant for more general inverse problem settings as well. We derive an algorithm that solves the problem and use the algorithm to study the effects of the parameters of the directional TV.

Original languageEnglish
Article number6310012
Pages (from-to)781-784
Number of pages4
JournalIEEE Signal Processing Letters
Volume19
Issue number12
DOIs
Publication statusPublished - 2012

Keywords

  • Directional total variation
  • image denoising
  • total variation

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