Convex non-convex image segmentation

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journal

5 Scopus Citations
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Author(s)

Detail(s)

Original languageEnglish
Pages (from-to)635-680
Journal / PublicationNumerische Mathematik
Volume138
Issue number3
Online published6 Sep 2017
Publication statusPublished - Mar 2018
Externally publishedYes

Abstract

A convex non-convex variational model is proposed for multiphase image segmentation. We consider a specially designed non-convex regularization term which adapts spatially to the image structures for a better control of the segmentation boundary and an easy handling of the intensity inhomogeneities. The nonlinear optimization problem is efficiently solved by an alternating directions methods of multipliers procedure. We provide a convergence analysis and perform numerical experiments on several images, showing the effectiveness of this procedure.

Research Area(s)

  • 47N10, 52A41, 65K10, 65K15, 90C26

Citation Format(s)

Convex non-convex image segmentation. / Chan, Raymond; Lanza, Alessandro; Morigi, Serena; Sgallari, Fiorella.

In: Numerische Mathematik, Vol. 138, No. 3, 03.2018, p. 635-680.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journal