Optimal Area Triangulation

Name: Optimal Area Triangulation
Brand: VDM Verlag
SKU: 9783639140101
Price: 58.1 EUR
Availability: InStock

of Planar Point Sets

Autor: Tzvetalin S. Vassilev

Jazyk:

Väzba: Brožovaná

Vydavateľ: VDM Verlag

Dostupnosť: U vydavateľa na objednávku

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Triangulations of point sets play an important role §in Computational Geometry and have been studied...

Informácie o knihe

Autor

Tzvetalin S. Vassilev

Jazyk

Angličtina

Väzba

Kniha - Brožovaná

Vydalo

2009

Stránok

136

EAN

9783639140101

ISBN

3639140109

Enbook ID

06822650

Vydavateľ

VDM Verlag

Hmotnosť

209

Rozmery

152 x 229 x 8

Kompletný popis

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. 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. In the case of a point set in convex §position we present nearly quadratic algorithms for §both problems. The geometric properties of these two §optimal triangulations are derived and extensively §discussed. We strongly believe that both problems §admit no worse than quadratic solution. Such will be §based on a refinement of the geometric properties. §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. In the case §of a point set in general position, we present a §polynomial time approximation algorithm. The §algorithm is based on the matching properties of §triangulations and further geometric considerations.

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Optimal Area Triangulation

of Planar Point Sets

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Kompletný popis

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