TY - BOOK ID - 7986999 TI - Nonlinear computational geometry AU - Emiris, Ioannis Z. AU - Sottile, Frank J. AU - Theobald, Thorsten. AU - University of Minnesota. PY - 2010 SN - 1441909982 9786612835285 1282835289 1441909990 PB - New York, N.Y. : Springer, DB - UniCat KW - Geometry -- Data processing -- Congresses. KW - Geometry, Algebraic -- Congresses. KW - Polyhedral functions -- Congresses. KW - Geometry KW - Geometry, Algebraic KW - Polyhedral functions KW - Mathematics KW - Physical Sciences & Mathematics KW - Data processing KW - Nonlinear programming KW - Numerical analysis KW - Mathematics. KW - Algebraic geometry. KW - Algebra. KW - Computer mathematics. KW - Geometry. KW - Algebraic Geometry. KW - Computational Mathematics and Numerical Analysis. KW - General Algebraic Systems. KW - Programming (Mathematics) KW - Geometry, algebraic. KW - Computer science KW - Mathematical analysis KW - Euclid's Elements KW - Computer mathematics KW - Discrete mathematics KW - Electronic data processing KW - Algebraic geometry KW - Computational geometry KW - Nonlinear geometry UR - https://www.unicat.be/uniCat?func=search&query=sysid:7986999 AB - 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. ER -