The Visual Computer

, Volume 11, Issue 2, pp 105–112 | Cite as

Computational morphology of curves

  • Luiz Henrique de Figueiredo
  • Jonas de Miranda Gomes


We prove that euclidean minimal spanning trees correctly reconstruct differentiable arcs from sufficiently dense samples. The proof is based on a combinatorial characterization of minimal spanning paths and on a description of the local geometry of ares inside tubular neighborhoods. We also present simple heuristics for reconstruting more general curves.

Key words

Computational morphology Curve reconstruction Minimal spanning trees 


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Copyright information

© Springer-Verlag 1994

Authors and Affiliations

  • Luiz Henrique de Figueiredo
    • 1
  • Jonas de Miranda Gomes
    • 1
  1. 1.IMPA-Instituto de Matemática Pura e AplicadaRio de JaneiroBrazil

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