Superimposing voronoi complexes for shape deformation

  • Authors:
  • Chao Chen;Ho-Lun Cheng

  • Affiliations:
  • National University of Singapore, Singapore;National University of Singapore, Singapore

  • Venue:
  • ISAAC'04 Proceedings of the 15th international conference on Algorithms and Computation
  • Year:
  • 2004

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Abstract

Edelsbrunner et al defined a framework of shape deformations with shapes bounded by skin manifold We prove that the infinitely many synthesized shapes in the deformation sequence share finitely many common Voronoi complexes Therefore, we propose a new algorithm to compute the common Voronoi complexes efficiently for the deformations, and use these common complexes to compute the synthesized shapes in real time This makes generating, visualizing, and customizing shape deformations feasible.