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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.

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A Variational Method for Curve Extraction

  • 会议论文

  • 发表日期：

    2025年

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  • Majid Arthaud,
  • Antonin Chambolle,
  • Vincent Duval

摘要

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.