Mathematics and Visualization

Triangulations and Applications

Authors: Hjelle, Øyvind, Dæhlen, Morten

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About this Textbook

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

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)


Table of contents (3 chapters)

  • Algorithms for Delaunay Triangulation

    Øyvind Hjelle, Morten Dæhlen

    Pages 73-93

  • Data Dependent Triangulations

    Øyvind Hjelle, Morten Dæhlen

    Pages 95-112

  • Delaunay Refinement Mesh Generation

    Øyvind Hjelle, Morten Dæhlen

    Pages 131-155

Buy this book

eBook $54.99
price for USA (gross)
  • ISBN 978-3-540-33261-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $74.95
price for USA
  • ISBN 978-3-540-33260-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $74.95
price for USA
  • ISBN 978-3-642-06988-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Triangulations and Applications
Authors
Series Title
Mathematics and Visualization
Copyright
2006
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-33261-9
DOI
10.1007/3-540-33261-8
Hardcover ISBN
978-3-540-33260-2
Softcover ISBN
978-3-642-06988-8
Series ISSN
1612-3786
Edition Number
1
Number of Pages
XI, 229
Topics