Triangulations and Applications

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.

Inhaltsverzeichnis

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).

Bericht

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)

Produktdetails

• Autoren: Morten Dæhlen, Øyvind Hjelle
• Verlag: Springer, Berlin
• Sprache: Englisch
• Produktform: Taschenbuch
• Erschienen: 30.11.2010
• EAN: 9783642069888
• ISBN: 978-3-642-06988-8
• Seiten: 229
• Abmessung: 155 mm x 13 mm x 235 mm
• Gewicht: 382 g
• Illustration: XI, 229 p.
• Serie: Mathematics and Visualization
• Themen: Naturwissenschaften, Medizin, Informatik, Technik > Mathematik > Wahrscheinlichkeitstheorie, Stochastik, Mathematische Statistik; B, Geowissenschaften, Algorithms, Mathematik für Ingenieure, Bildverarbeitung, Mathematics, Computer Vision, Visualization, Mathematics and Statistics, Computer Imaging, Vision, Pattern Recognition and Graphics, Mathematical and Computational Engineering, Computational Mathematics and Numerical Analysis, Earth Sciences, Computer mathematics, Numerical analysis, Engineering mathematics, Applied mathematics, Data and Information Visualization, Mathematical and Computational Engineering Applications, Maths for engineers, Optical data processing, Earth Sciences, general