"Quadrilateral meshes with provable angle bounds" by F. B. Atalay, S. Ramaswami et al.
 

Document Type

Article

Publication Title

Engineering with Computers

Version

Final Published Version

Volume

28

Publication Date

2012

Abstract

In this paper, we present an algorithm that utilizes a quadtree data structure to construct a quadrilateral mesh for a simple polygonal region in which no newly created angle is smaller than 18.43∘(=arctan(13)) or greater than 171.86∘(=135∘+2arctan(13)). This is the first known result, to the best of our knowledge, on a direct quadrilateral mesh generation algorithm with a provable guarantee on the angles.

DOI

http://doi.org/10.1007/s00366-011-0215-0

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