Topologically correct surface reconstruction using alpha shapes and relations to ball-pivoting

@article{Stelldinger2008TopologicallyCS,
  title={Topologically correct surface reconstruction using alpha shapes and relations to ball-pivoting},
  author={Peer Stelldinger},
  journal={2008 19th International Conference on Pattern Recognition},
  year={2008},
  pages={1-4}
}
The problem to reconstruct a surface given a finite set of boundary points is of growing interest, e.g. in the context of laser range images. While a lot of heuristic methods have been published in this context (e.g. the ball-pivoting algorithm), there exist only a few algorithms which guarantee the reconstruction to be homeomorphic to the original surface if a certain sampling density is reached. However, the sampling density mentioned is in most cases much higher than what seems to be… CONTINUE READING

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Referenced Papers

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Showing 1-10 of 10 references

Kamvysselis: A new Voronoi-based Surface Reconstruction Algorithm

  • N. Amenta, M. M. Bern
  • Proc. Conference on Computer Graphics and…
  • 1998
1 Excerpt

Bajaj: Sampling and Reconstructing Manifolds Using Alpha-Shapes,Proc

  • C.L.F. Bernardini
  • Canadian Conference on Computational Geometry,
  • 1997
2 Excerpts

Three - dimensional alpha shapes

  • E. P. Mücke H. Edelsbrunner
  • ACM Transactions on Graphics
  • 1994

Über einige Extremaleigenschaften der regulären Polyeder und des gleichseitigen Dreiecksgitters

  • L. Fejes
  • Annali della Scuola Normale Superiore di Pisa…
  • 1948
1 Excerpt

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