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Smooth surface reconstruction via natural neighbour interpolation of distance functions
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Source Annual Symposium on Computational Geometry archive
Proceedings of the sixteenth annual symposium on Computational geometry table of contents
Clear Water Bay, Kowloon, Hong Kong
Pages: 223 - 232  
Year of Publication: 2000
ISBN:1-58113-224-7
Authors
Jean-Daniel Boissonnat  INRIA, BP93, 06902 Sophia Antipolis, France
Frédéric Cazals  INRIA, BP93, 06902 Sophia Antipolis, France
Sponsors
SIGACT: ACM Special Interest Group on Algorithms and Computation Theory
SIGGRAPH: ACM Special Interest Group on Computer Graphics and Interactive Techniques
Publisher
ACM  New York, NY, USA
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REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
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N. Amenta and M. Bern. Surface reconstruction by Voronoi filtering. Discrete Comput. Geom., 22(4):481-504, 1999.
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F. Bernardini and C. L. Bajaj. Sampling and reconstructing manifolds using alpha-shapes. In Proc. 9th Canad. Conf. Comput. Geom., pages 193-198, 1997.
 
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J.-D. Boissonnat and F. Cazals. Natural coordinates on a surface. Rapport de recherche, INRIA, 2000. to appear.
 
10
J. W. Bruce and P. J. Giblin. Curves and Singularities (2nd edition). Cambridge University Press, New York, 1992.
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H. Edelsbrunner, D. G. Kirkpatrick, and R. Seidel. On the shape of a set of points in the plane. IEEE Trans. Inform. Theory, IT-29:551-559, 1983.
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A. Fomenko and T. Kunii. Topological Modeling for Visualization. Springer, 1997.
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21
D. Levin. Mesh-independent surface interpolation. In 4th International Conference on Curves and Surfaces, page 46, 1999. Saint-Malo, France.
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S. Owen. An implementation of natural neighbor interpolation in three dimensions. Master's thesis, 1992.
 
24
J. A. Sethian. Level Set Methods. Cambridge University Press, 1996.
 
25
R. Sibson. A vector identity for the Dirichlet tesselation. Math. Proc. Camb. Phil. Soc., 87:151-155, 1980.
 
26
R. Sibson. A brief description of natural neighbour interpolation. In V. Barnet, editor, Interpreting Multivariate Data, pages 21-36. John Wiley & Sons, Chichester, 1981.
 
27
D. F. Watson. Contouring: A Guide to the Analysis and Display of Spatial Data. Pergamon, 1992.
 
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H.-K. Zhao, S. Osher, B. Merriman, and M. Kang. Implicit, nonparametric shape reconstruction from unorganized points using a variational level set method. Cam report 98-7, UCLA, http://www.math.ucla.edu/applied/cam/index.html, 1998.

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