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Nonlinear Computational Geometry  Ioannis Z. Emiris (u. a.)  Buch  IMA Volumes in Mathematics and its Applications  Englisch  2009  Springer US  EAN 9781441909985 - Emiris, Ioannis Z.
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Emiris, Ioannis Z.:

Nonlinear Computational Geometry Ioannis Z. Emiris (u. a.) Buch IMA Volumes in Mathematics and its Applications Englisch 2009 Springer US EAN 9781441909985 - edition reliée, livre de poche

2009, ISBN: 9781441909985

[ED: Gebunden], [PU: Springer US], An original motivation for algebraic geometry was to understand curves and surfaces in three dimensions. Recent theoretical and technological advances i… Plus…

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Ioannis Z Emiris:

Nonlinear Computational Geometry - edition reliée, livre de poche

2009, ISBN: 1441909982

[EAN: 9781441909985], Neubuch, [SC: 36.13], [PU: Springer Nature Singapore], MATHEMATICS; MATHEMATICS / GEOMETRY ALGEBRAIC; ALGEBRA ABSTRACT; COUNTING & NUMERATION; NUMBER SYSTEMS, Druck … Plus…

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ISBN: 9781441909985

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2010, ISBN: 9781441909985

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Nonlinear Computational Geometry

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. TOC:Foreword.- Preface.- Spectral 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.

Informations détaillées sur le livre - Nonlinear Computational Geometry


EAN (ISBN-13): 9781441909985
ISBN (ISBN-10): 1441909982
Version reliée
Livre de poche
Date de parution: 2009
Editeur: Springer Nature Singapore
239 Pages
Poids: 0,513 kg
Langue: eng/Englisch

Livre dans la base de données depuis 2008-10-31T21:10:43+01:00 (Paris)
Page de détail modifiée en dernier sur 2024-03-17T14:58:48+01:00 (Paris)
ISBN/EAN: 9781441909985

ISBN - Autres types d'écriture:
1-4419-0998-2, 978-1-4419-0998-5
Autres types d'écriture et termes associés:
Auteur du livre: theobald, thorsten, ioannis
Titre du livre: computational geometry, beyond geometry, mathematics, nonlinear


Données de l'éditeur

Auteur: Ioannis Z. Emiris; Frank Sottile; Thorsten Theobald
Titre: The IMA Volumes in Mathematics and its Applications; Nonlinear Computational Geometry
Editeur: Springer; Springer US
239 Pages
Date de parution: 2009-12-07
New York; NY; US
Imprimé / Fabriqué en
Langue: Anglais
160,49 € (DE)
164,99 € (AT)
177,00 CHF (CH)
POD
XI, 239 p.

BB; Hardcover, Softcover / Mathematik/Arithmetik, Algebra; Algebraische Geometrie; Verstehen; Computational; Dimension; Geometry; Nonlinear; algebra; algebraic curve; algebraic geometry; computational geometry; Algebraic Geometry; Computational Mathematics and Numerical Analysis; Geometry; General Algebraic Systems; Numerische Mathematik; Geometrie; Algebra; BC

Spectral 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.

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