Computing geodesics on triangular meshes

  • Authors:
  • Dimas Martínez;Luiz Velho;Paulo C. Carvalho

  • Affiliations:
  • IMPA-Instituto Nacional de Matemática Pura e Aplicada, Estrada Dona Castorina, 110, 22460-320 Rio de Janeiro, RJ, Brazil and ICIMAF-Instituto de Cibernética, Matemática y Físic ...;IMPA-Instituto Nacional de Matemática Pura e Aplicada, Estrada Dona Castorina, 110, 22460-320 Rio de Janeiro, RJ, Brazil;IMPA-Instituto Nacional de Matemática Pura e Aplicada, Estrada Dona Castorina, 110, 22460-320 Rio de Janeiro, RJ, Brazil

  • Venue:
  • Computers and Graphics
  • Year:
  • 2005

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Abstract

We present a new algorithm to compute a geodesic path over a triangulated surface. Based on Sethian's Fast Marching Method and Polthier's straightest geodesics theory, we are able to generate an iterative process to obtain a good discrete geodesic approximation. It can handle both convex and non-convex surfaces.