Robustness problems and verified computations for computational geometry

Katsuhisa Ozaki, Takeshi Ogita, Shin'ichi Oishi

研究成果: Paper査読

抄録

This paper is concerned with robustness problems in computational geometry. To solve geometric problems, numerical computations by floating-point arithmetic are preferred in terms of computational performance. However, when the rounding errors of floating-point computations accumulate, meaningless results of the problems may be obtained. It is called robustness problem in computational geometry. Recently, several verified algorithms for a two-dimensional orientation problem have been developed. By applying these algorithms, we develop an algorithm which overcomes this problem. Finally, we present numerical examples for a convex hull for a set of points on two-dimensional spaces to illustrate an efficiency of the proposed algorithm.

本文言語English
出版ステータスPublished - 2009
イベントAsia Simulation Conference 2009, JSST 2009 - Shiga, Japan
継続期間: 2009 10 72009 10 9

Conference

ConferenceAsia Simulation Conference 2009, JSST 2009
国/地域Japan
CityShiga
Period09/10/709/10/9

ASJC Scopus subject areas

  • モデリングとシミュレーション

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