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

  title={Topologically correct surface reconstruction using alpha shapes and relations to ball-pivoting},
  author={Peer Stelldinger},
  journal={2008 19th International Conference on Pattern Recognition},
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

From This Paper

Figures, tables, results, connections, and topics extracted from this paper.
9 Extracted Citations
10 Extracted References
Similar Papers

Referenced Papers

Publications referenced by this paper.
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

Similar Papers

Loading similar papers…