Some Remarks on the Equivalence between 2D and 3D Classical Snakes and Geodesic Active Contours

Authors:
Gilles Aubert;Laure Blanc-Féraud
Affiliations:
Laboratoire de Mathématiques J.A. Dieudonné, UMR 6621, Université de Nice Sophia Antipolis, Parc Valrose, 06108 Nice cedex2, France. gaubert@math.unice.fr;Ariana group from CNRS, INRIA, UNSA, INRIA, 2004 route des Lucioles, BP 93, 06902 Sophia Antipolis Cedex, France. blancf@sophia.inria.fr
Venue:
International Journal of Computer Vision
Year:
1999

Citing 3
Cited 4

Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations

Journal of Computational Physics
Shape Modeling with Front Propagation: A Level Set Approach

IEEE Transactions on Pattern Analysis and Machine Intelligence
Geodesic Active Contours

International Journal of Computer Vision

New Algorithms for Controlling Active Contours Shape and Topology

ECCV '00 Proceedings of the 6th European Conference on Computer Vision-Part II
Detecting Codimension--Two Objects in an Image with Ginzburg-Landau Models

International Journal of Computer Vision
Higher-Order Feature-Preserving Geometric Regularization

SIAM Journal on Imaging Sciences
Levelset and b-spline deformable model techniques for image segmentation: a pragmatic comparative study

SCIA'05 Proceedings of the 14th Scandinavian conference on Image Analysis

Quantified Score

Hi-index	0.00

Visualization

Abstract

Recently, Caselles et al. have shown the equivalence between a classical snake problem of Kass et al. and a geodesic active contour model. The PDE derived from the geodesic problem gives anevolution equation for active contours which is very powerfull forimage segmentation since changes of topology are allowed using thelevel set implementation. However in Caselles‘ paper theequivalence with classical snake is only shown for 2D images and1D curves, by using concepts of Hamiltonian theory which have nomeanings for active surfaces. This paper propose to examine thenotion of equivalence and to revisite Caselles et al. arguments.Then a notion equivalence is introduced and shown for classicalsnakes and geodesic active contours in the 2D (active contour) and 3D (active surface) case.