Frank C Langbein
Ex Tenebris Scientia
Contents

C. H. Gao, F. C. Langbein, A. D. Marhall, R. R. Martin, Y. Li, Z. Yang.

Materials Science Forum, 471-472:702-706, 2004.
ISSN 02555476.

[DOI: 10.4028/0-87849-956-3.702]

Engineering geometric models are often designed to have symmetries and other regularities. In knowledge based reuse, creative design and design for mass customization, to have the information of such symmetries and other regularities from a geometric model is very useful. And this can make us understand more about the geometric model. In reverse engineering, B-rep models are created by fitting surfaces from point sets obtained by scanning an object using a 3D laser scanner. Each fitted surface is determined independently. The reverse engineered object can be improved by imposing these symmetries and other regularities on. This paper discusses the particular problem of finding partial approximate symmetries present in geometric model. A practical algorithm for finding partial approximate symmetries within a 3D B-rep model defined with planes, spheres, cylinders, cones and tori is presented. The experiment results show that the algorithm detects the symmetries expected and can do so reasonably. 

@ARTICLE{Gao2004a,
  author =       {Chunhua Gao and Frank Langbein and A. Dave Marshall
                  and Ralph R. Marin and Y. Li and Z. Yang},
  title =        {Partial Approximate Symmetry Detection of Geometric
                  Model},
  journal =      {Materials Science Forum},
  year =         2004,
  volume =       {471-472},
  pages =        {702-706},
  issn =         02555476,
  doi =          {10.4028/0-87849-956-3.702},
  url =          {http://www.langbein.org/research/solids/borg/gao2004a/},
  abstract =     {Engineering geometric models are often designed to
                  have symmetries and other regularities. In knowledge
                  based reuse, creative design and design for mass
                  customization, to have the information of such
                  symmetries and other regularities from a geometric
                  model is very useful. And this can make us
                  understand more about the geometric model. In
                  reverse engineering, B-rep models are created by
                  fitting surfaces from point sets obtained by
                  scanning an object using a 3D laser scanner. Each
                  fitted surface is determined independently. The
                  reverse engineered object can be improved by
                  imposing these symmetries and other regularities on.
                  This paper discusses the particular problem of
                  finding partial approximate symmetries present in
                  geometric model. A practical algorithm for finding
                  partial approximate symmetries within a 3D B-rep
                  model defined with planes, spheres, cylinders, cones
                  and tori is presented. The experiment results show
                  that the algorithm detects the symmetries expected
                  and can do so reasonably.},
}
Cite as Partial Approximate Symmetry Detection of Geometric Model, http://www.langbein.org/research/solids/borg/gao2004a by Frank C Langbein [27/October/2008, 21:28].
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