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.

Convex non-convex image segmentation / Raymond Chan; Alessandro Lanza; Serena Morigi; Fiorella Sgallari. - In: NUMERISCHE MATHEMATIK. - ISSN 0029-599X. - STAMPA. - 138:3(2018), pp. 635-680. [10.1007/s00211-017-0916-4]

Convex non-convex image segmentation

Alessandro Lanza;Serena Morigi;Fiorella Sgallari
2018

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.
2018
Convex non-convex image segmentation / Raymond Chan; Alessandro Lanza; Serena Morigi; Fiorella Sgallari. - In: NUMERISCHE MATHEMATIK. - ISSN 0029-599X. - STAMPA. - 138:3(2018), pp. 635-680. [10.1007/s00211-017-0916-4]
Raymond Chan; Alessandro Lanza; Serena Morigi; Fiorella Sgallari
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/607979
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