Restricted delaunay triangulations and normal cycle

@inproceedings{CohenSteiner2003RestrictedDT,
  title={Restricted delaunay triangulations and normal cycle},
  author={David Cohen-Steiner and Jean-Marie Morvan},
  booktitle={Symposium on Computational Geometry},
  year={2003}
}
We address the problem of curvature estimation from sampled smooth surfaces. Building upon the theory of normal cycles, we derive a definition of the curvature tensor for polyhedral surfaces. This definition consists in a very simple and new formula. When applied to a polyhedral approximation of a smooth surface, it yields an efficient and reliable curvature estimation algorithm. Moreover, we bound the difference between the estimated curvature and the one of the smooth surface in the case of… CONTINUE READING
Highly Influential
This paper has highly influenced 14 other papers. REVIEW HIGHLY INFLUENTIAL CITATIONS
Highly Cited
This paper has 553 citations. REVIEW CITATIONS

Citations

Publications citing this paper.
Showing 1-10 of 292 extracted citations

554 Citations

0204060'05'08'11'14'17
Citations per Year
Semantic Scholar estimates that this publication has 554 citations based on the available data.

See our FAQ for additional information.

References

Publications referenced by this paper.

Similar Papers

Loading similar papers…