
Triangulations and Applications
Springer (Publisher)
Published on 30. November 2010
Book
Paperback/Softback
XI, 229 pages
978-3-642-06988-8 (ISBN)
Description
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.
Reviews / Votes
From the reviews:
"The overall flavor of the book reflects the use of triangulations for the description of planar objects and as the domain for bivariate functions. . The book is meant as a text for a graduate class on triangulations." (Gerald Farin, SIAM Review, Vol. 49 (2), 2007)
More details
Series
Edition
Softcover reprint of hardcover 1st ed. 2006
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
XI, 229 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 14 mm
Weight
382 gr
ISBN-13
978-3-642-06988-8 (9783642069888)
DOI
10.1007/3-540-33261-8
Schweitzer Classification
Other editions
Additional editions

Øyvind Hjelle | Morten Dæhlen
Triangulations and Applications
Book
09/2006
1st Edition
Springer
€74.89
Shipment within 10-15 days
Content
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).