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Titlebook: Computational Geometry on Surfaces; Performing Computati Clara I. Grima,Alberto Márquez Book 2001 Springer Science+Business Media Dordrecht

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发表于 2025-3-21 17:18:09 | 显示全部楼层 |阅读模式
书目名称Computational Geometry on Surfaces
副标题Performing Computati
编辑Clara I. Grima,Alberto Márquez
视频videohttp://file.papertrans.cn/233/232333/232333.mp4
图书封面Titlebook: Computational Geometry on Surfaces; Performing Computati Clara I. Grima,Alberto Márquez Book 2001 Springer Science+Business Media Dordrecht
描述In the last thirty years Computational Geometry has emerged as a new discipline from the field of design and analysis of algorithms. That dis­ cipline studies geometric problems from a computational point of view, and it has attracted enormous research interest. But that interest is mostly concerned with Euclidean Geometry (mainly the plane or Eu­ clidean 3-dimensional space). Of course, there are some important rea­ sons for this occurrence since the first applieations and the bases of all developments are in the plane or in 3-dimensional space. But, we can find also some exceptions, and so Voronoi diagrams on the sphere, cylin­ der, the cone, and the torus have been considered previously, and there are manY works on triangulations on the sphere and other surfaces. The exceptions mentioned in the last paragraph have appeared to try to answer some quest ions which arise in the growing list of areas in which the results of Computational Geometry are applicable, since, in practiee, many situations in those areas lead to problems of Com­ putational Geometry on surfaces (probably the sphere and the cylinder are the most common examples). We can mention here some specific areas in which
出版日期Book 2001
关键词Triangulation; algorithms; calculus; combinatorics; complexity; computational geometry; computer; computer
版次1
doihttps://doi.org/10.1007/978-94-015-9809-5
isbn_softcover978-90-481-5908-6
isbn_ebook978-94-015-9809-5
copyrightSpringer Science+Business Media Dordrecht 2001
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Preliminaries,Obviously, in a book like this the reader is usually familiarized with concepts and (some) results of Computational Geometry. In any case, we will try to make this book as self-contained as possible. So we introduce in this chapter some terminologies and notations that will be used along the book.
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978-90-481-5908-6Springer Science+Business Media Dordrecht 2001
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Savvas G. Loizou,Kostas J. Kyriakopoulosively think that planar methods will be valid in this Situation. This intuition has been used on several occasions by many authors, but sometimes it is not clear what ‘very close to each other’ means. In this chapter we will try to clarify this concept, introducing what we call Euclidean position, i
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Aggregation and Disaggregation Modellinghull. Without doubt the reason for this assessment is that Voronoi diagrams have applications and are used extensively in a great variety of disciplines (see [Aurenhammer, 1991, Okabe et al., 1992]). So it is possible to say that the Voronoi diagram is an interdisciplinary concept, and, in fact, it
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R. Rodrigues,M. A. Santos,F. N. Correiatheory and in many other applications. In this chapter we study such parameters in the cases of our surfaces. We will see that the usual planar techniques for computing those invariants are not valid in this case and that new methods must be considered.
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