A Control of Smooth Deformations with Topological Change on Polyhedral Mesh Based on Curves and Loops

  • Authors:
  • Anne Verroust;Matthieu Finiasz

  • Affiliations:
  • -;-

  • Venue:
  • SMI '02 Proceedings of the Shape Modeling International 2002 (SMI'02)
  • Year:
  • 2002

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Abstract

We propose a method to model and control topological changes by a smooth defonnation of a polyhedral mesh using curves and loops.As changing the genus of a surface is not a continuous transformation, the topological change is made when an intermediate shape between the two topologies has been obtained.The creation and the deletion of holes are studied.The deletion of a hole uses non null-homotopic loops to designate the hole to be deleted.A method computing two independent loops associated to a hole is presented.