Yayın:
Directional Total Variation

dc.contributor.authorBayram, Ilker
dc.contributor.authorKamasak, Mustafa E.
dc.contributor.ituauthorKamaşak, Mustafa Ersel
dc.date.accessioned2026-01-25T13:14:32Z
dc.date.issued2012-12-01
dc.description.abstractThis 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.
dc.description.urihttps://doi.org/10.1109/lsp.2012.2220349
dc.description.urihttp://web.itu.edu.tr/ibayram/DTV.pdf
dc.description.urihttps://doi.org/10.1109/LSP.2012.2220349
dc.description.urihttps://dx.doi.org/10.1109/lsp.2012.2220349
dc.identifier.doi10.1109/lsp.2012.2220349
dc.identifier.eissn1558-2361
dc.identifier.endpage784
dc.identifier.issn1070-9908
dc.identifier.openairedoi_dedup___::94d86acaedf4262e2520924050909dda
dc.identifier.orcid0000-0002-5050-3357
dc.identifier.startpage781
dc.identifier.urihttps://hdl.handle.net/11527/51562
dc.identifier.volume19
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)
dc.relation.ispartofIEEE Signal Processing Letters
dc.rightsOPEN
dc.titleDirectional Total Variation
dc.typeArticle
dspace.entity.typePublication
person.identifier.orcid0000-0002-5050-3357

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