03940nam 22005415i 4500001001800000003000900018005001700027007001500044008004100059020003700100024003500137050001400172072001700186072002300203082001500226245012600241250000700367264004600374300003300420336002600453337002600479338003600505347002400541490007500565505069500640520141201335650001702747650002402764650001302788650002602801650001402827650001702841650002402858650005402882650001402936650003102950700003202981700002903013700003303042710003403075773002003109776003603129830007503165856004803240912001403288999001903302952007703321978-1-4419-0999-2DE-He21320180115171455.0cr nn 008mamaa100301s2010 xxu| s |||| 0|eng d a97814419099929978-1-4419-0999-27 a10.1007/978-1-4419-0999-22doi 4aQA564-609 7aPBMW2bicssc 7aMAT0120102bisacsh04a516.3522310aNonlinear Computational Geometryh[electronic resource] /cedited by Ioannis Z. Emiris, Frank Sottile, Thorsten Theobald. a1. 1aNew York, NY :bSpringer New York,c2010. aXI, 239 p.bonline resource. atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier atext filebPDF2rda1 aThe IMA Volumes in Mathematics and its Applications,x0940-6573 ;v1510 aSpectral Techniques to Explore Point Clouds in Euclidean Space, with Applications to Collective Coordinates in Structural Biology -- Rational Parametrizations, Intersection Theory, and Newton Polytopes -- Some Discrete Properties of the Space of Line Transversals to Disjoint Balls -- Algebraic Geometry and Kinematics -- Rational Offset Surfaces and their Modeling Applications -- A List of Challenges for Real Algebraic Plane Curve Visualization Software -- A Subdivision Method for Arrangement Computation of Semi-Algebraic Curves -- Invariant-Based Characterization of the Relative Position of Two Projective Conics -- A Note on Planar Hexagonal Meshes -- List of Workshop Participants. aAn 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. 0aMathematics. 0aAlgebraic geometry. 0aAlgebra. 0aComputer mathematics. 0aGeometry.14aMathematics.24aAlgebraic Geometry.24aComputational Mathematics and Numerical Analysis.24aGeometry.24aGeneral Algebraic Systems.1 aEmiris, Ioannis Z.eeditor.1 aSottile, Frank.eeditor.1 aTheobald, Thorsten.eeditor.2 aSpringerLink (Online service)0 tSpringer eBooks08iPrinted edition:z9781441909985 0aThe IMA Volumes in Mathematics and its Applications,x0940-6573 ;v15140uhttp://dx.doi.org/10.1007/978-1-4419-0999-2 aZDB-2-SMA c370247d370247 001040708EBookaelibbelibd2018-01-15r2018-01-15w2018-01-15yEBOOK