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Future Vision and Trends on Shapes, Geometry and Algebra

Mathematical algorithms are a fundamental component of Computer Aided Design and Manufacturing (CAD/CAM) systems. This book provides a bridge between algebraic geometry and geometric modelling algorithms, formulated within a computer science framework. Apart from the algebraic geometry topics covere...

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Corporate Author: SpringerLink (Online service)
Other Authors: de Amicis, Raffaele. (Editor, http://id.loc.gov/vocabulary/relators/edt), Conti, Giuseppe. (Editor, http://id.loc.gov/vocabulary/relators/edt)
Language:English
Published: London : Springer London : Imprint: Springer, 2014.
Edition:1st ed. 2014.
Series:Springer Proceedings in Mathematics & Statistics, 84
Subjects:
Algebraic geometry.
Algebra.
Field theory (Physics).
Applied mathematics.
Engineering mathematics.
Algorithms.
Geometry.
Mathematical models.
Algebraic Geometry.
Field Theory and Polynomials.
Applications of Mathematics.
Mathematical Modeling and Industrial Mathematics.
Online Access:https://doi.org/10.1007/978-1-4471-6461-6
Table of Contents:
  • Introduction
  • Future Shape Modelling Scenarios
  • A Hilbert-Driven Strategy for Signature-based Gröbner Basis Algorithms
  • Numerical Algebraic Geometry and Differential Equations
  • Sparse Discriminants and Applications
  • Parametrization of the Bisector of Two Low Degree Surfaces
  • Computer Aided Algebraic Geometry: Constructing Surfaces of Genus Zero
  • Elastic Bone Transformation for Realistic Facial Animation in Web GL
  • Geometric Features for Hand-Written Signatures
  • Using 2D Contours to Model Metal Sheets in Industrial Machining Processes
  • The Case for Scripted Process Design and Engineering.

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