6/26/2012

Triangulations and Applications (Mathematics and Visualization) Review

Triangulations and Applications (Mathematics and Visualization)
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This is an outstanding book. It is clearly written and goes into great detail. There is source code available that is very well designed and clearly commented. (search for Triangulation Template Library) There are ample illustrations to help you visualize the algorithms.
It is a short book but very complete. It has an academic flavor with definitions, theorems, lemmas and extensive references. There are exercises at the end of the chapters so it was designed to be useful as a textbook for a college computer science course.
I bought it to learn the algorithms and techniques on my own, with an eye toward applying them in geometric modeling for computer games. I found it easy to follow and skipped many of the proofs on the first reading. There are several code snippets throughout the text, some are give in pseudo-code and other are C++. They use OpenGL and GLUT to demonstrate the use of the library. The triangulation library is C++ and not directly tied to OpenGL and should be applicable to Direct3D or other graphics APIs.

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This book will serve as a valuable source of information about triangulations for the graduate student and researcher. With emphasis on computational issues, it presents the basic theory necessary to construct and manipulate triangulations. In particular, the book gives a tour through the theory behind the Delaunay triangulation, including algorithms and software issues. It also discusses various data structures used for the representation of triangulations.

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