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.
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Baudour, A., Aubert, G., Blanc-Féraud, L. (2007). Detection and Completion of Filaments: A Vector Field and PDE Approach. In: Sgallari, F., Murli, A., Paragios, N. (eds) Scale Space and Variational Methods in Computer Vision. SSVM 2007. Lecture Notes in Computer Science, vol 4485. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72823-8_39
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DOI: https://doi.org/10.1007/978-3-540-72823-8_39
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-72822-1
Online ISBN: 978-3-540-72823-8
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