Overview
Part of the book series: The IMA Volumes in Mathematics and its Applications (IMA, volume 151)
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Table of contents (10 papers)
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Front Matter
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Back Matter
Keywords
About this book
An original motivation for algebraic geometry was to understand curves and surfaces in three dimensions. Recent theoretical and technological advances in areas such as robotics, computer vision, computer-aided geometric design and molecular biology, together with the increased availability of computational resources, have brought these original questions once more into the forefront of research. One particular challenge is to combine applicable methods from algebraic geometry with proven techniques from piecewise-linear computational geometry (such as Voronoi diagrams and hyperplane arrangements) to develop tools for treating curved objects. These research efforts may be summarized under the term nonlinear computational geometry.
This volume grew out of an IMA workshop on Nonlinear Computational Geometry in May/June 2007 (organized by I.Z. Emiris, R. Goldman, F. Sottile, T. Theobald) which gathered leading experts in this emerging field. The research and expository articles in the volume are intended to provide an overview of nonlinear computational geometry. Since the topic involves computational geometry, algebraic geometry, and geometric modeling, the volume has contributions from all of these areas. By addressing a broad range of issues from purely theoretical and algorithmic problems, to implementation and practical applications this volume conveys the spirit of the IMA workshop.
Editors and Affiliations
Bibliographic Information
Book Title: Nonlinear Computational Geometry
Editors: Ioannis Z. Emiris, Frank Sottile, Thorsten Theobald
Series Title: The IMA Volumes in Mathematics and its Applications
DOI: https://doi.org/10.1007/978-1-4419-0999-2
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag New York 2010
Hardcover ISBN: 978-1-4419-0998-5Published: 07 December 2009
Softcover ISBN: 978-1-4614-2509-0Published: 03 May 2012
eBook ISBN: 978-1-4419-0999-2Published: 28 October 2009
Series ISSN: 0940-6573
Series E-ISSN: 2198-3224
Edition Number: 1
Number of Pages: XI, 239
Topics: Algebraic Geometry, Computational Mathematics and Numerical Analysis, Geometry, General Algebraic Systems