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Finsler Geodesic Evolution Model for Region based Active Contours

Chen, Da; Mirebeau, Jean-Marie; Cohen, Laurent D. (2016), Finsler Geodesic Evolution Model for Region based Active Contours, BMVC 2016, 2016-09, York, United Kingdom

Type
Communication / Conférence
External document link
https://dx.doi.org/10.5244/C.30.22
Date
2016
Conference title
BMVC 2016
Conference date
2016-09
Conference city
York
Conference country
United Kingdom
Pages
13
Metadata
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Author(s)
Chen, Da
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Mirebeau, Jean-Marie
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Cohen, Laurent D.
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Abstract (EN)
In this paper, we present a new deformable model for image segmentation by building the connection between the region based active contours energy and the geodesic energy via a Finsler metric. Basically, we solve the region based active contours energy minimization problem under a nonlinear Eikonal equation framework with respect to a Finsler metric. By sampling a set of control points from the closed active contour in clockwise order, the active contours evolution problem is turned to find a collection of minimal curves joining all the control points. These minimal curves can be obtained by solving the Finsler metric based Eikonal equation. Benefiting from the well established numerical solver of the Eikonal PDE, named fast marching algorithm, our model can obtain a fast numerical solution.
Subjects / Keywords
Finsler Geodesics