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Nonlinear Computational Geometry by Ioannis Z Emiris, 5 Book Lot,

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Item specifics

Condition
Good: A book that has been read but is in good condition. Very minimal damage to the cover including ...
Pages
239
Publication Date
2009-12-07
Book Title
Nonlinear Computational Geometry
ISBN
9781441909985

About this product

Product Identifiers

Publisher
Springer New York
ISBN-10
1441909982
ISBN-13
9781441909985
eBay Product ID (ePID)
77419023

Product Key Features

Number of Pages
Xi, 239 Pages
Publication Name
Nonlinear Computational Geometry
Language
English
Publication Year
2009
Subject
Numerical Analysis, Geometry / General, Geometry / Algebraic
Type
Textbook
Author
Frank J. Sottile
Subject Area
Mathematics
Series
The Ima Volumes in Mathematics and Its Applications Ser.
Format
Hardcover

Dimensions

Item Weight
41.3 Oz
Item Length
9.3 in
Item Width
6.1 in

Additional Product Features

Intended Audience
Scholarly & Professional
Dewey Edition
22
Series Volume Number
151
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
516.00285
Table Of Content
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.
Synopsis
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., 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., 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.
LC Classification Number
QA564-609

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