New Elastica Geodesic Approach with Convexity Shape Prior for Region-based Active Contours and Image Segmentation
Chen, Da; Mirebeau, Jean-Marie; Tai, Xue-Cheng; Cohen, Laurent D. (2021), New Elastica Geodesic Approach with Convexity Shape Prior for Region-based Active Contours and Image Segmentation. https://basepub.dauphine.psl.eu/handle/123456789/22170
TypeDocument de travail / Working paper
External document linkhttps://hal.archives-ouvertes.fr/hal-03174123
Series titleCahier de recherche du CEREMADE
MetadataShow full item record
Shandong Artificial Intelligence Institute, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250014, China
Laboratoire de Mathématiques d'Orsay [LMO]
Department of Mathematics [Hong Kong Baptist University] [HKBU]
Cohen, Laurent D.
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Abstract (EN)The minimal geodesic models based on the Eikonal equations are capable of finding suitable solutions in various image segmentation scenarios. Currently, existing geodesic-based segmentation approaches usually exploit the image features in conjunction with regularization terms, such as curve length, for computing geodesic paths. In this paper, we consider a more complicated problem: finding simple closed geodesic curves which are imposed a convexity shape prior. The proposed approach relies on an orientation-lifting strategy, by which a planar curve can be mapped to an high-dimensional orientation space. The convexity shape priors serve as a constraint for the construction of local metrics in the lifted space. The geodesic curves then can be efficiently computed through the single-pass Fast Marching method (FMM). In addition, we introduce a way to incorporate region-based homogeneity features into the proposed geodesic model so as to solve the region-based segmentation issues with shape prior constraints.
Subjects / KeywordsActive contours; Convexity shape prior; Curvature penalization; Eikonal equation
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Chen, Da; Spencer, Jack; Mirebeau, Jean-Marie; Chen, Ke; Shu, Minglei; Cohen, Laurent D. (2021) Article accepté pour publication ou publié
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