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Surface Reconstruction Using Adaptive Clustering Methods

  • Conference paper
Geometric Modelling

Part of the book series: Computing ((COMPUTING,volume 14))

Abstract

We present an automatic method for the generation of surface triangulations from sets of scattered points. Given a set of scattered points in three-dimensional space, without connectivity information, our method reconstructs a triangulated surface model in a two-step procedure. First, we apply an adaptive clustering technique to the given set of points, identifying point subsets in regions that are nearly planar. The output of this clustering step is a set of two-manifold “tiles” that locally approximate the underlying, unknown surface. Second, we construct a surface triangulation by triangulating the data within the individual tiles and the gaps between the tiles. This algorithm can generate multiresolution representations by applying the triangulation step to various resolution levels resulting from the hierarchical clustering step. We compute deviation measures for each cluster, and thus we can produce reconstructions with prescribed error bounds.

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Author information

Authors and Affiliations

  1. PurpleYogi.com, Inc., 201 Ravendale, Mountain View, CA, 94043, USA

    B. Heckel

  2. Dipartimento di Progettazione e Produzione Industriale, Politecnico di Bari, Viale Japigia 182, 70126, Bari, Italy

    A. E. Uva

  3. Center for Image Processing and Integrated Computing (CIPIC) Department of Computer Science, University of California, Davis, CA, 95616-8562, USA

    B. Hamann & K. I. Joy

Authors
  1. B. Heckel
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  2. A. E. Uva
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  3. B. Hamann
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  4. K. I. Joy
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Editor information

Editors and Affiliations

  1. Fakultät für Informatik, TU Chemnitz, Chemnitz, Germany

    Guido Brunnett

  2. Institut für Informatik und angewandte Mathematik, Universität Bern, Bern, Switzerland

    Hanspeter Bieri

  3. Department of Computer Science and Engineering, Arizona State University, Tempe, AZ, USA

    Gerald Farin

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© 2001 Springer-Verlag Wien

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Heckel, B., Uva, A.E., Hamann, B., Joy, K.I. (2001). Surface Reconstruction Using Adaptive Clustering Methods. In: Brunnett, G., Bieri, H., Farin, G. (eds) Geometric Modelling. Computing, vol 14. Springer, Vienna. https://doi.org/10.1007/978-3-7091-6270-5_11

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  • DOI: https://doi.org/10.1007/978-3-7091-6270-5_11

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-83603-3

  • Online ISBN: 978-3-7091-6270-5

  • eBook Packages: Springer Book Archive

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