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＜電子ブック＞
Triangulations and Applications / by Øyvind Hjelle, Morten Dæhlen
(Mathematics and Visualization. ISSN:2197666X)

版	1st ed. 2006.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2006
本文言語	英語
大きさ	XI, 229 p : online resource
著者標目	*Hjelle, Øyvind author Dæhlen, Morten author SpringerLink (Online service)
件　名	LCSH:Information visualization LCSH:Algorithms LCSH:Mathematics -- Data processing  全ての件名で検索 LCSH:Image processing -- Digital techniques  全ての件名で検索 LCSH:Computer vision LCSH:Engineering mathematics LCSH:Engineering -- Data processing  全ての件名で検索 LCSH:Earth sciences FREE:Data and Information Visualization FREE:Algorithms FREE:Computational Mathematics and Numerical Analysis FREE:Computer Imaging, Vision, Pattern Recognition and Graphics FREE:Mathematical and Computational Engineering Applications FREE:Earth Sciences
一般注記	Triangles and Triangulations -- Graphs and Data Structures -- Delaunay Triangulations and Voronoi Diagrams -- Algorithms for Delaunay Triangulation -- Data Dependent Triangulations -- Constrained Delaunay Triangulation -- Delaunay Refinement Mesh Generation -- Least Squares Approximation of Scattered Data -- Programming Triangulations: The Triangulation Template Library (TTL) This book is entirely about triangulations. With emphasis on computational issues, we present the basic theory necessary to construct and manipulate triangulations. In particular, we make a tour through the theory behind the Delaunay triangulation, including algorithms and software issues. We also discuss various data structures used for the representation of triangulations. Throughout the book we relate the theory to selected applications, in part- ular surface construction, meshing and visualization. The ?eld of triangulation is part of the huge area of computational ge- etry, and over many years numerous books and articles have been written on the subject. Important results on triangulations have appeared in theore- cal books and articles, mostly within the realm of computational geometry. However, many important results on triangulations have also been presented in publications within other research areas, where they have played and play an important role in solving speci?c scienti?c and applied problems. We will touch upon some of these areas in this book. Triangulations, almost everywhere. The early development of triangulation comes from surveying and the art of constructing maps – cartography. S- veyors and cartographers used triangles as the basic geometric feature for calculating distances between points on the Earth’s surface and a position’s elevation above sea level HTTP:URL=https://doi.org/10.1007/3-540-33261-8

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