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A primal-dual algorithm for computing Finsler distances and applications

  • Hamza Ennaji,
  • Yvain Quéau,
  • Abderrahim Elmoataz

摘要

This note discusses the computation of the distance function with respect to Finsler metrics. To this end, we show how the Finsler variants of the Eikonal equation can be solved by a primal-dual algorithm exploiting the variational structure. We also discuss the acceleration of the algorithm by preconditioning techniques, and illustrate the flexibility of the proposed method through a series of numerical examples.