Geodesic Interpolating Splines

@inproceedings{Camion2001GeodesicIS,
  title={Geodesic Interpolating Splines},
  author={Vincent Camion and Laurent Younes},
  booktitle={EMMCVPR},
  year={2001}
}
We propose a simple and eecient method to interpolate landmark matching by a non-ambiguous mapping (a diieomorphism). This method is based on spline interpolation, and on recent techniques developed for the estimation of ows of diieomorphisms. Experimental results show interpolations of remarkable quality. Moreover, the method provides a Riemannian distance on sets of landmarks (with xed car-dinality), which can be deened intrinsically, without refering to diieo-morphisms. The numerical… CONTINUE READING
BETA
Highly Influential
This paper has highly influenced 18 other papers. REVIEW HIGHLY INFLUENTIAL CITATIONS
Highly Cited
This paper has 173 citations. REVIEW CITATIONS

From This Paper

Figures, tables, and topics from this paper.

Citations

Publications citing this paper.
SHOWING 1-10 OF 77 CITATIONS, ESTIMATED 44% COVERAGE

174 Citations

01020'02'05'09'13'17
Citations per Year
Semantic Scholar estimates that this publication has 174 citations based on the available data.

See our FAQ for additional information.

References

Publications referenced by this paper.
SHOWING 1-10 OF 10 REFERENCES

Morphometric tools for landmark data; geometry and biology, Cambridge University press

  • F L. Bookstein
  • 1991
Highly Influential
3 Excerpts

In nite dimensional group action and pattern recognition

  • A. Trouv e
  • Quaterly of Applied Math. (to appear),
  • 2000
2 Excerpts

Group action, di eomorphism and matching: a general framework

  • M I. Miller, L. Younes
  • Proceeding of SCTV
  • 1999
1 Excerpt

Variational problems on ows of di eomorphisms for image matching

  • P. Dupuis, U. Grenander, M. Miller
  • Quaterly of Applied Math.,
  • 1998
2 Excerpts

Equivalence, Invarians and Symmetry

  • P. Olver
  • 1995

Multivariate interpolation at arbitrary points made simple

  • J. Meinguet
  • J. Ap pliet Math. and Physics,
  • 1979
1 Excerpt

Similar Papers

Loading similar papers…