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 Optimal Area Triangulation. of Planar Point Sets The algorithm is based on the matching properties of triangulations and further geometric considerations. Here we present a study on optimizing the
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Optimal Area Triangulation. of Planar Point Sets

автор Tzvetalin S. V. издательство Книга по Требованию Локальные и корпоративные сети
Cтраниц 136        мягкая обложка       
Аннотация:The algorithm is based on the matching properties of triangulations and further geometric considerations. Here we present a study on optimizing the area in two ways: minimizing the maximum area of a triangle, and maximizing the minimum area of a triangle. Furthermore, the properties and the methods described here can serve as a starting point to obtaining efficient optimal triangulation algorithms for other quality measures such as maximizing inradius or aspect ratio of a triangle. We strongly believe that both problems admit no worse than quadratic solution. The geometric properties of these two optimal triangulations are derived and extensively discussed. Triangulations of point sets play an important role in Computational Geometry and have been studied extensively in the last decades. The results on optimizing angles and edge lengths are classical in the field. In the case of a point set in general position, we present a polynomial time approximation algorithm. In the case of a point set in convex position we present nearly quadratic algorithms for both problems. Such will be based on a refinement of the geometric properties.
Автор: Tzvetalin S. V.
Издательство: Книга по Требованию
Год:2009
Цена:
2415 руб
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Поиск: Optimal Area Triangulation. of Planar Point Sets
НОВЫЙ ГОД СИМВОЛ 2013 ГОДАУКРАШЕНИЯ
КАРНАВАЛ НА НОВЫЙ ГОД РАСПРОДАЖА
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