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Delaunay triangulations and Voronoi diagrams for Riemannian manifolds

Published: 01 May 2000 Publication History
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References

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N. Amenta and M. Bern. Surface Reconstruction by Voronoi Filtering. Discrete Comput. Geom. 22 (1999) 471-504.
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M. Bern and D. Eppstein. Mesh Generation and Optimal Triangulation. Computing in Euclidean Geometry, edited by F. K. Hwang and D.-Z. Du, World Scientific, 1992, 47-123.
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I. Chavel. Riemannian Geometry: A Modern Introduction. Cambridge University Press, 1993.
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P. Chew. Guaranteed-Quality Mesh Generation for Curved Surfaces. Proc. 9th Symp. Computational Geometry, 1993, 274-280.
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H. Edelsbrunner. Algorithms in Combinatorial Geometry. Springer-Verlag, Heidelberg, Germany, 1987.
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W. Klingenberg. Riemannian Geometry. de Gruyter, Berlin, 1982.
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C. Lawson. Generation of a Triangular Grid with Applications to Contour Plotting. Memo 299. Jet Propulsion Laboratory, Pasadena, CA, 1972.
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G. Leibon. Random Delaunay Triangulations, the Thruston-Andreev Theorem, and Metric Uniformization. Ph.D. Thesis, UCSD, 1999.
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G. Leibon and D. Letscher. Delaunay Triangulations for Riemannian Manifolds. Part I: Existence. Submitted for publication, 2000.
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D. Letscher. Delaunay Triangulations for Riemannian Manifolds. Part II: Algorithms. In Preparation, 2000.
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J. Nash. The Imbedding Problem for Riemannian Manfiolds. Ann. of Math. {}3 (1956), 20-63.

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SCG '00: Proceedings of the sixteenth annual symposium on Computational geometry
May 2000
379 pages
ISBN:1581132247
DOI:10.1145/336154
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Published: 01 May 2000

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SoCG00: The 16th Annual ACM Symposium on Computational Geometry
June 12 - 14, 2000
Kowloon, Clear Water Bay, Hong Kong

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Overall Acceptance Rate 625 of 1,685 submissions, 37%

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