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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 (9 chapters)

Table of contents (9 chapters)
  • Triangles and Triangulations

    Pages 1-21

    Hjelle, Øyvind (et al.)

  • Graphs and Data Structures

    Pages 23-45

    Hjelle, Øyvind (et al.)

  • Delaunay Triangulations and Voronoi Diagrams

    Pages 47-71

    Hjelle, Øyvind (et al.)

  • Algorithms for Delaunay Triangulation

    Pages 73-93

    Hjelle, Øyvind (et al.)

  • Data Dependent Triangulations

    Pages 95-112

    Hjelle, Øyvind (et al.)

Buy this book

eBook 53,49 €
price for Spain (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 72,79 €
price for Spain (gross)
  • ISBN 978-3-540-33260-2
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 67,59 €
price for Spain (gross)
  • ISBN 978-3-642-06988-8
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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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

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