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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Embedded Delaunay triangulations for point clouds of surfaces in $\mathbb {R}^3$
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by Franco Vargas Pallete PDF
Proc. Amer. Math. Soc. 148 (2020), 5457-5467 Request permission

Abstract:

In the following article we discuss Delaunay triangulations for a point cloud on an embedded surface in $\mathbb {R}^3$. We give sufficient conditions on the point cloud to show that the diagonal switch algorithm finds an embedded Delaunay triangulation.
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Additional Information
  • Franco Vargas Pallete
  • Affiliation: School of Mathematics, Institute for Advanced Study, 114 MOS, 1 Einstein Drive, Princeton, New Jersey 08540
  • Address at time of publication: Department of Mathematics, Yale University, New Haven, Connecticut 06520
  • MR Author ID: 1346657
  • ORCID: 0000-0003-4180-1018
  • Email: franco.vargaspallete@yale.edu
  • Received by editor(s): July 24, 2019
  • Received by editor(s) in revised form: February 17, 2020, and May 12, 2020
  • Published electronically: September 4, 2020
  • Additional Notes: This research was partially supported by NSF grant DMS-1406301 and by the Minerva Research Foundation
  • Communicated by: Ken Bromberg
  • © Copyright 2020 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 148 (2020), 5457-5467
  • MSC (2010): Primary 57Q15, 52C99
  • DOI: https://doi.org/10.1090/proc/15175
  • MathSciNet review: 4163856