Discrete & Computational Geometry

, Volume 22, Issue 4, pp 481–504 | Cite as

Surface Reconstruction by Voronoi Filtering

  • N. Amenta
  • M. Bern


We give a simple combinatorial algorithm that computes a piecewise-linear approximation of a smooth surface from a finite set of sample points. The algorithm uses Voronoi vertices to remove triangles from the Delaunay triangulation. We prove the algorithm correct by showing that for densely sampled surfaces, where density depends on a local feature size function, the output is topologically valid and convergent (both pointwise and in surface normals) to the original surface. We briefly describe an implementation of the algorithm and show example outputs.


Sample Point Smooth Surface Local Feature Feature Size Surface Normal 
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Copyright information

© Springer-Verlag New York Inc. 1999

Authors and Affiliations

  • N. Amenta
    • 1
  • M. Bern
    • 2
  1. 1.Computer Sciences, University of Texas, Austin, TX 78712, USA US
  2. 2.Xerox Palo Alto Research Center, 3333 Coyote Hill Rd., Palo Alto, CA 94304, USA

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