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E-Books | Biblioteca da FCTUNL Online | Não Ficção | QA448.SPR FCT 81129 (Browse shelf) | 1 | Available |
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QA447.SPR FCT 95758 Subdivision surfaces | QA448.SPR FCT 80825 Modeling of curves and surfaces with MATLAB® | QA448.SPR FCT 80937 Shaping space | QA448.SPR FCT 81129 Nonlinear computational geometry | QA448.SPR FCT 81276 Polyhedral and algebraic methods in computational geometry | QA448.SPR FCT 82944 Serious fun with flexagons | QA448.SPR FCT 94174 The four pillars of geometry |
Colocação: Online
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.
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