This work presents a collection of surveys and exploratory articles about recent developments in the field of computational Euclidean geometry. Topics covered include the history of Euclidean geometry, Voronoi diagrams, randomized geometric algorithms, computational algebra, triangulations, machine proofs, topological designs, finite-element mesh, computer-aided geometric designs and Steiner trees. This edition contains three new surveys covering geometric constraint solving, computational geometry and the Exact Computation Paradigm.
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Editorial Reviews
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The papers are not just summaries; the authors present new material or fresh points of view ... I recommend the book to anyone who works in one of the areas surveyed or who is interested in the interaction of Euclidean geometry and computers. -- Carol Hazlewood, IEEE Parallel & Distributed Technology
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In this survey article, we shall trace the evolutionary development of the classical euclidean geometry from its ancient origin to its modern setting of analytic geometry. Read the first page Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Casteljau Algorithm, Foundations of Computer Science, Academic Press, Computer-Aided Geom, Theory Comput, Las Vegas, Proof Sketch, Symbolic Comput, Chee Yap, Combinatorial Theory, Computer Aided Geometric Design, John Wiley, Theory of Computing, Bell Laboratories, Canadian Conf, Lecture Notes, Monte Carlo, World Scientific, Annals of Operations Research, Computing Surveys, Mathematical Software, Morgan Kaufmann Publishers, Purdue University, The University of Texas New!
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Front Cover | Front Flap | Table of Contents | First Pages | Back Flap | Back Cover | Surprise Me!
In this survey article, we shall trace the evolutionary development of the classical euclidean geometry from its ancient origin to its modern setting of analytic geometry. Read the first page Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Casteljau Algorithm, Foundations of Computer Science, Academic Press, Computer-Aided Geom, Theory Comput, Las Vegas, Proof Sketch, Symbolic Comput, Chee Yap, Combinatorial Theory, Computer Aided Geometric Design, John Wiley, Theory of Computing, Bell Laboratories, Canadian Conf, Lecture Notes, Monte Carlo, World Scientific, Annals of Operations Research, Computing Surveys, Mathematical Software, Morgan Kaufmann Publishers, Purdue University, The University of Texas New!
Concordance | Text Stats Browse Sample Pages:
Front Cover | Front Flap | Table of Contents | First Pages | Back Flap | Back Cover | Surprise Me!
Citations (learn more)
This book cites 64
books:
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44
books
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- Algorithms in Combinatorial Geometry (Eatcs Monographs on Theoretical Computer Science) by H. Edelsbrunner on 6 pages
- Computational Geometry: Algorithms and Applications, Second Edition by Mark de Berg on 5 pages
- The Probabilistic Method (Wiley Series in Discrete Mathematics and Optimization) by Noga Alon on page 36, page 45, and page 194
- Computational Geometry: An Introduction Through Randomized Algorithms by Ketan Mulmuley on page 44, page 120, and page 447
- Computational Geometry: An Introduction (Monographs in Computer Science) by Franco P. Preparata on page 44, page 120, and page 448
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- Geometric Computation (Lecture Notes Series on Computing Vol. 11) by Dongming Wang in Front Matter, and page 373
- Algorithms and Data Structures: 8th International Workshop, WADS 2003, Ottawa, Ontario, Canada, July 30 - August 1, 2003, Proceedings (Lecture Notes in Computer Science) by Frank Dehne on page 23, and page 376
- A Variational Inequality Approach to free Boundary Problems with Applications in Mould Filling (International Series of Numerical Mathematics) by Jörg Steinbach in Back Matter (1), and Back Matter (2)
- Computational Geometry in C (Cambridge Tracts in Theoretical Computer Science) by Joseph O'Rourke on page 348, and Back Matter
- Davenport-Schinzel Sequences and their Geometric Applications by Micha Sharir in Back Matter (1), and Back Matter (2)
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