Overview
- Applications-oriented
- Well-written textbook on triangulations
Part of the book series: Mathematics and Visualization (MATHVISUAL)
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About this book
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.
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Table of contents (9 chapters)
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Front Matter
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Back Matter
Reviews
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)
Authors and Affiliations
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Bibliographic Information
Book Title: Triangulations and Applications
Authors: Øyvind Hjelle, Morten Dæhlen
Series Title: Mathematics and Visualization
DOI: https://doi.org/10.1007/3-540-33261-8
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2006
Hardcover ISBN: 978-3-540-33260-2Published: 13 September 2006
Softcover ISBN: 978-3-642-06988-8Published: 30 November 2010
eBook ISBN: 978-3-540-33261-9Published: 19 September 2006
Series ISSN: 1612-3786
Series E-ISSN: 2197-666X
Edition Number: 1
Number of Pages: XI, 229
Topics: Visualization, Algorithms, Computational Mathematics and Numerical Analysis, Computer Imaging, Vision, Pattern Recognition and Graphics, Mathematical and Computational Engineering, Earth Sciences, general