Detection and completion of filaments: a vector field and PDE approach

Authors:
Alexis Baudour;Gilles Aubert;Laure Blanc-Féraud
Affiliations:
Laboratoire Jean-Alexandre Dieudonné, UNSA, Faculté des Sciences, Nice Cedex 02, France and CNRS, INRIA, UNSA, Sophia Antipolis Cedex, France;Laboratoire Jean-Alexandre Dieudonné, UNSA, Faculté des Sciences, Nice Cedex 02, France;CNRS, INRIA, UNSA, Sophia Antipolis Cedex, France
Venue:
SSVM'07 Proceedings of the 1st international conference on Scale space and variational methods in computer vision
Year:
2007

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Abstract

Our goal in this paper is to propose a new algorithm for the detection and the completion of thin filaments in noisy and blurred 2D or 3D images. The detection method is based on the construction of a 3D vector field whose singularities (vorticity points) correspond to the filaments. The completion is then obtained by solving a Ginzburg-Landau system which is well-adapted to the study of such singularities. Numerical results for 2D images are given.