On a Variational and Convex Model of the Blake–Zisserman Type for Segmentation of Low-Contrast and Piecewise Smooth Images

This paper proposes a new variational model for segmentation of low-contrast and piecewise smooth images. The model is motivated by the two-stage image segmentation work of Cai–Chan–Zeng (2013) for the Mumford–Shah model. To deal with low-contrast images more effectively, especially in treating high...

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Autores principales:	Liam Burrows, Anis Theljani, Ke Chen
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	image segmentation Mumford–Shah Blake–Zisserman game theory Photography TR1-1050 Computer applications to medicine. Medical informatics R858-859.7 Electronic computers. Computer science QA75.5-76.95
Acceso en línea:	https://doaj.org/article/14983ba1dff8439680ba1bf03ac91dbb
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id	oai:doaj.org-article:14983ba1dff8439680ba1bf03ac91dbb
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spelling	oai:doaj.org-article:14983ba1dff8439680ba1bf03ac91dbb2021-11-25T18:03:26ZOn a Variational and Convex Model of the Blake–Zisserman Type for Segmentation of Low-Contrast and Piecewise Smooth Images10.3390/jimaging71102282313-433Xhttps://doaj.org/article/14983ba1dff8439680ba1bf03ac91dbb2021-10-01T00:00:00Zhttps://www.mdpi.com/2313-433X/7/11/228https://doaj.org/toc/2313-433XThis paper proposes a new variational model for segmentation of low-contrast and piecewise smooth images. The model is motivated by the two-stage image segmentation work of Cai–Chan–Zeng (2013) for the Mumford–Shah model. To deal with low-contrast images more effectively, especially in treating higher-order discontinuities, we follow the idea of the Blake–Zisserman model instead of the Mumford–Shah. Two practical ideas are introduced here: first, a convex relaxation idea is used to derive an implementable formulation, and second, a game reformulation is proposed to reduce the strong dependence of coupling parameters. The proposed model is then analysed for existence and further solved by an ADMM solver. Numerical experiments can show that the new model outperforms the current state-of-the-art models for some challenging and low-contrast images.Liam BurrowsAnis TheljaniKe ChenMDPI AGarticleimage segmentationMumford–ShahBlake–Zissermangame theoryPhotographyTR1-1050Computer applications to medicine. Medical informaticsR858-859.7Electronic computers. Computer scienceQA75.5-76.95ENJournal of Imaging, Vol 7, Iss 228, p 228 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	image segmentation Mumford–Shah Blake–Zisserman game theory Photography TR1-1050 Computer applications to medicine. Medical informatics R858-859.7 Electronic computers. Computer science QA75.5-76.95
spellingShingle	image segmentation Mumford–Shah Blake–Zisserman game theory Photography TR1-1050 Computer applications to medicine. Medical informatics R858-859.7 Electronic computers. Computer science QA75.5-76.95 Liam Burrows Anis Theljani Ke Chen On a Variational and Convex Model of the Blake–Zisserman Type for Segmentation of Low-Contrast and Piecewise Smooth Images
description	This paper proposes a new variational model for segmentation of low-contrast and piecewise smooth images. The model is motivated by the two-stage image segmentation work of Cai–Chan–Zeng (2013) for the Mumford–Shah model. To deal with low-contrast images more effectively, especially in treating higher-order discontinuities, we follow the idea of the Blake–Zisserman model instead of the Mumford–Shah. Two practical ideas are introduced here: first, a convex relaxation idea is used to derive an implementable formulation, and second, a game reformulation is proposed to reduce the strong dependence of coupling parameters. The proposed model is then analysed for existence and further solved by an ADMM solver. Numerical experiments can show that the new model outperforms the current state-of-the-art models for some challenging and low-contrast images.
format	article
author	Liam Burrows Anis Theljani Ke Chen
author_facet	Liam Burrows Anis Theljani Ke Chen
author_sort	Liam Burrows
title	On a Variational and Convex Model of the Blake–Zisserman Type for Segmentation of Low-Contrast and Piecewise Smooth Images
title_short	On a Variational and Convex Model of the Blake–Zisserman Type for Segmentation of Low-Contrast and Piecewise Smooth Images
title_full	On a Variational and Convex Model of the Blake–Zisserman Type for Segmentation of Low-Contrast and Piecewise Smooth Images
title_fullStr	On a Variational and Convex Model of the Blake–Zisserman Type for Segmentation of Low-Contrast and Piecewise Smooth Images
title_full_unstemmed	On a Variational and Convex Model of the Blake–Zisserman Type for Segmentation of Low-Contrast and Piecewise Smooth Images
title_sort	on a variational and convex model of the blake–zisserman type for segmentation of low-contrast and piecewise smooth images
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/14983ba1dff8439680ba1bf03ac91dbb
work_keys_str_mv	AT liamburrows onavariationalandconvexmodeloftheblakezissermantypeforsegmentationoflowcontrastandpiecewisesmoothimages AT anistheljani onavariationalandconvexmodeloftheblakezissermantypeforsegmentationoflowcontrastandpiecewisesmoothimages AT kechen onavariationalandconvexmodeloftheblakezissermantypeforsegmentationoflowcontrastandpiecewisesmoothimages
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On a Variational and Convex Model of the Blake–Zisserman Type for Segmentation of Low-Contrast and Piecewise Smooth Images

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