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An O (n Squared Log N) Time Algorithm for the Minmax Angle Triangulation

by Herbert Edelsbrunner , Roman Waupotitsch , Tiow Seng Tan , University of Illinois at Urbana-Champaign. Department of Computer Science

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Abstract: "We show that a triangulation of a set of n points in the plane that minimizes the maximum angle can be computed in time 0(n[superscript 2] log n) and space 0(n). In the same amount of time and space we can also handle the constrained case where edges are prescribed. The algorithm iteratively improves an arbitrary initial triangulation and is fairly easy to implement."

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