A Variational Method for Curve Extraction

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Majid Arthaud, Antonin Chambolle, Vincent Duval

Published: 01 Jan 2025, Last Modified: 01 Oct 2025SSVM (2) 2025EveryoneRevisionsBibTeXCC BY-SA 4.0
Abstract: We propose a functional for extracting curves between a list of possible endpoints, based on a discretization of a variational energy and Smirnov’s decomposition theorem for vector fields. It is then used to design a bi-level minimization approach to automatically extract curves and 1D structures from an image, which is mostly unsupervised.