Geodesic Models with Convexity Shape Prior
Chen, Da; Mirebeau, Jean-Marie; Shu, Minglei; Tai, Xuecheng; Cohen, Laurent D. (2021), Geodesic Models with Convexity Shape Prior. https://basepub.dauphine.psl.eu/handle/123456789/22812
Type
Document de travail / Working paperExternal document link
https://hal.archives-ouvertes.fr/hal-03359125Date
2021Series title
Cahier de recherche CEREMADE, Université Paris Dauphine-PSLPublished in
Paris
Pages
18
Metadata
Show full item recordAuthor(s)
Chen, DaCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Mirebeau, Jean-Marie
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Shu, Minglei
Shandong Artificial Intelligence Institute
Tai, Xuecheng
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. Existing geodesic-based segmentation approaches usually exploit image features in conjunction with geometric regularization terms, such as Euclidean curve length or curvature-penalized length, for computing geodesic curves. In this paper, we take into account a more complicated problem: finding curvature-penalized geodesic curves which are imposed a convexity shape prior. We establish new geodesic models relying on the strategy of orientation-lifting, by which a planar curve can be mapped to an high-dimensional orientation-dependent space. The convexity shape prior serves as a constraint for the construction of local geodesic metrics encoding a particular curvature constraint. Then the geodesic distances and the corresponding closed geodesic curves in the orientation-lifted space can be efficiently computed through state-of-the-art Hamiltonian fast marching method. In addition, we apply the proposed geodesic models to the active contours, leading to efficient interactive image segmentation algorithms that preserve the advantages of convexity shape prior and curvature penalization.Subjects / Keywords
Geodesic curve; convexity shape prior; curvature penalization; Eikonal equation; fast marching; image segmentationRelated items
Showing items related by title and author.
-
Chen, Da; Cohen, Laurent D.; Mirebeau, Jean-Marie; Tai, Xue-Cheng (2021) Communication / Conférence
-
Cohen, Laurent D.; Chen, Da; Mirebeau, Jean-Marie; Shu, Minglei; Shu, Huazhong (2021) Document de travail / Working paper
-
Cohen, Laurent D.; Chen, Da; Mirebeau, Jean-Marie; Shu, Ming-Lei; Shu, Huazhong (2021) Document de travail / Working paper
-
Chen, Da; Spencer, Jack; Mirebeau, Jean-Marie; Chen, Ke; Shu, Minglei; Cohen, Laurent D. (2021) Article accepté pour publication ou publié
-
Chen, Da; Mirebeau, Jean-Marie; Cohen, Laurent D. (2016) Communication / Conférence