Laplace-spectra as fingerprints for shape matching

@inproceedings{Reuter2005LaplacespectraAF,
  title={Laplace-spectra as fingerprints for shape matching},
  author={Martin Reuter and Franz-Erich Wolter and Niklas Peinecke},
  booktitle={Symposium on Solid and Physical Modeling},
  year={2005}
}
This paper introduces a method to extract fingerprints of any surface or solid object by taking the eigenvalues of its respective Laplace-Beltrami operator. Using an object's spectrum (i.e. the family of its eigenvalues) as a fingerprint for its shape is motivated by the fact that the related eigenvalues are isometry invariants of the object. Employing the Laplace-Beltrami spectra (not the spectra of the mesh Laplacian) as fingerprints of surfaces and solids is a novel approach in the field of… CONTINUE READING
Highly Influential
This paper has highly influenced 10 other papers. REVIEW HIGHLY INFLUENTIAL CITATIONS
Highly Cited
This paper has 251 citations. REVIEW CITATIONS
112 Citations
4 References
Similar Papers

Citations

Publications citing this paper.
Showing 1-10 of 112 extracted citations

251 Citations

02040'08'11'14'17
Citations per Year
Semantic Scholar estimates that this publication has 251 citations based on the available data.

See our FAQ for additional information.

References

Publications referenced by this paper.
Showing 1-4 of 4 references

Methoden der mathematischen Physik

  • R. COURANT, D. HILBERT
  • Springer Verlag.
  • 1993
Highly Influential
4 Excerpts

The Finite Element Method - Volume 1: The Basis

  • O. ZIENKIEWICZ, R. TAYLOR
  • Butterworth Heinemann.
  • 2000
Highly Influential
1 Excerpt

Similar Papers

Loading similar papers…