Polyhedral Surface Smoothing with Simultaneous Mesh Regularization

  • Authors:
  • Yutaka Ohtake;Alexander G. Belyaev;Ilia A. Bogaevski

  • Affiliations:
  • -;-;-

  • Venue:
  • GMP '00 Proceedings of the Geometric Modeling and Processing 2000
  • Year:
  • 2000

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Abstract

A computer graphics object reconstructed from real-world data often contains undesirable noise and small-scale oscillations. An important problem is how to remove the noise and oscillations while preserving desirable geometric features of the object.This paper develops methods for polyhedral surface smoothing and denoising with simultaneous increasing mesh regularity. We also propose an adaptive smoothing method allowing reducing possible oversmoothing.Roughly speaking, our smoothing schemes consist of moving every vertex in the direction defined by the Laplacian flow with speed equal to a properly chosen function of the mean curvature at the vertex.