Quadrilateral meshes with bounded minimum angle

F. Betul Atalay; Suneeta Ramaswami; Dianna Xu

doi:10.1007/978-3-540-87921-3_5

Quadrilateral meshes with bounded minimum angle

F. Betul Atalay, Suneeta Ramaswami, Dianna Xu

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

14 Scopus citations

Abstract

This paper presents an algorithm that utilizes a quadtree to construct a strictly convex quadrilateral mesh for a simple polygonal region in which no newly created angle is smaller than 18.43°(= arctan( 1/3 )). This is the first known result, to the best of our knowledge, on quadrilateral mesh generation with a provable guarantee on the minimum angle.

Original language	English (US)
Title of host publication	Proceedings of the 17th International Meshing Roundtable, IMR 2008
Publisher	Kluwer Academic Publishers
Pages	73-91
Number of pages	19
ISBN (Print)	9783540879206
DOIs	https://doi.org/10.1007/978-3-540-87921-3_5
State	Published - 2008
Event	17th International Meshing Roundtable, IMR 2008 - Pittsburgh, PA, United States Duration: Oct 12 2008 → Oct 15 2008

Publication series

Name	Proceedings of the 17th International Meshing Roundtable, IMR 2008

Other

Other	17th International Meshing Roundtable, IMR 2008
Country	United States
City	Pittsburgh, PA
Period	10/12/08 → 10/15/08

All Science Journal Classification (ASJC) codes

Engineering (miscellaneous)

Access to Document

10.1007/978-3-540-87921-3_5

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abstract = "This paper presents an algorithm that utilizes a quadtree to construct a strictly convex quadrilateral mesh for a simple polygonal region in which no newly created angle is smaller than 18.43°(= arctan( 1/3 )). This is the first known result, to the best of our knowledge, on quadrilateral mesh generation with a provable guarantee on the minimum angle.",

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Atalay, FB, Ramaswami, S & Xu, D 2008, Quadrilateral meshes with bounded minimum angle. in Proceedings of the 17th International Meshing Roundtable, IMR 2008. Proceedings of the 17th International Meshing Roundtable, IMR 2008, Kluwer Academic Publishers, pp. 73-91, 17th International Meshing Roundtable, IMR 2008, Pittsburgh, PA, United States, 10/12/08. https://doi.org/10.1007/978-3-540-87921-3_5

Quadrilateral meshes with bounded minimum angle. / Atalay, F. Betul; Ramaswami, Suneeta; Xu, Dianna.

Proceedings of the 17th International Meshing Roundtable, IMR 2008. Kluwer Academic Publishers, 2008. p. 73-91 (Proceedings of the 17th International Meshing Roundtable, IMR 2008).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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