Variational volumetric surface reconstruction from unorganized points

  • Authors:
  • Bjarke Jakobsen;J. Andreas Bærentzen;Niels Jørgen Christensen

  • Affiliations:
  • Informatics and Mathematical Modelling, Technical University of Denmark;Informatics and Mathematical Modelling, Technical University of Denmark;Informatics and Mathematical Modelling, Technical University of Denmark

  • Venue:
  • VG'07 Proceedings of the Sixth Eurographics / Ieee VGTC conference on Volume Graphics
  • Year:
  • 2007

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Abstract

Reconstruction of smooth surfaces from point sets is an important problem in many applications since this sort of data often appear in real-life scenarios. This paper presents method for solving this this problem at interactive rates by means of second order energy minimization obtained by solving Δ 2 = 0 on a discrete scalar field using an iterative multigrid approach. Every step in the reconstruction process takes place on the GPU. Consequently, the surface is immediately available for any standard volume visualization method utilizing packed volume textures. This eliminates the need for lare amounts of texture transfers or a costly polygonization step.