Discrete and Computational Geometry

Discrete and Computational Geometry

Author: Satyan L. Devadoss

Publisher: Princeton University Press

ISBN: 0691145539

Category: Mathematics

Page: 280

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Discrete geometry is a relatively new development in pure mathematics, while computational geometry is an emerging area in applications-driven computer science. Their intermingling has yielded exciting advances in recent years, yet what has been lacking until now is an undergraduate textbook that bridges the gap between the two. Discrete and Computational Geometry offers a comprehensive yet accessible introduction to this cutting-edge frontier of mathematics and computer science. This book covers traditional topics such as convex hulls, triangulations, and Voronoi diagrams, as well as more recent subjects like pseudotriangulations, curve reconstruction, and locked chains. It also touches on more advanced material, including Dehn invariants, associahedra, quasigeodesics, Morse theory, and the recent resolution of the Poincaré conjecture. Connections to real-world applications are made throughout, and algorithms are presented independently of any programming language. This richly illustrated textbook also features numerous exercises and unsolved problems. The essential introduction to discrete and computational geometry Covers traditional topics as well as new and advanced material Features numerous full-color illustrations, exercises, and unsolved problems Suitable for sophomores in mathematics, computer science, engineering, or physics Rigorous but accessible An online solutions manual is available (for teachers only). To obtain access, please e-mail: [email protected]
Discrete and Computational Geometry
Language: en
Pages: 280
Authors: Satyan L. Devadoss, Joseph O'Rourke
Categories: Mathematics
Type: BOOK - Published: 2011-04-11 - Publisher: Princeton University Press

Discrete geometry is a relatively new development in pure mathematics, while computational geometry is an emerging area in applications-driven computer science. Their intermingling has yielded exciting advances in recent years, yet what has been lacking until now is an undergraduate textbook that bridges the gap between the two. Discrete and
Handbook of Discrete and Computational Geometry, Third Edition
Language: en
Pages: 1906
Authors: Csaba D. Toth, Joseph O'Rourke, Jacob E. Goodman
Categories: Combinatorial geometry
Type: BOOK - Published: 2017 - Publisher:

While much information can be found on discrete and computational geometry, it is scattered among many sources. The Handbook of Discrete and Computational Geometry, Third Edition brings together all of the major results in both these fields into one volume. Thousands of results, theorems, algorithms, and tables definitively cover the
Discrete and Computational Geometry
Language: en
Pages: 390
Authors: Jin Akiyama, Mikio Kano, Masatsugu Urabe
Categories: Computers
Type: BOOK - Published: 2001-06-20 - Publisher: Springer Science & Business Media

Spehner GeometricTransformationsinPlaneTriangulations . . . . . . . . . . . . . . . . . . . . 217 K. Kawarabayashi, A. Nakamoto, Y. Oda, andM. Watanabe SeparationSensitiveKineticSeparationStructuresforConvexPolygons . . 222 D. Kirkpatrick andB. Speckmann OnAcuteTriangulationsofQuadrilaterals . . . . . . . . . .
Discrete and Computational Geometry
Language: en
Pages: 221
Authors: Jin Akiyama, Mikio Kano
Categories: Computers
Type: BOOK - Published: 2005-11-24 - Publisher: Springer Science & Business Media

This volume consists of the refereed proceedings of the Japan Conference on Discrete and Computational Geometry (JCDCG 2004) held at Tokai University in Tokyo, Japan, October, 8-11, 2004, to honor Jan ́ os Pach on his 50th year. J ́ anos Pach has generously supported the e?orts to promote research
Discrete and Computational Geometry
Language: en
Pages: 292
Authors: Jin Akiyama, Mikio Kano
Categories: Mathematics
Type: BOOK - Published: 2003-12-16 - Publisher: Springer Science & Business Media

This book constitutes the thoroughly refereed post-proceedings of the Japanese Conference on Discrete Computational Geometry, JCDCG 2002, held in Tokyo, Japan, in December 2002. The 29 revised full papers presented were carefully selected during two rounds of reviewing and improvement. All current issues in discrete algorithmic geometry are addressed.