Future Vision and Trends on Shapes, Geometry and Algebra

• Corporate Author: SpringerLink (Online service)
• Other Authors: Amicis, Raffaele De (Editor), Conti, Giuseppe (Editor)
• Format: Electronic eBook
• Language: English
• Published: London : Springer London : Imprint: Springer, 2014.
• Series: Springer Proceedings in Mathematics & Statistics, 84
• Subjects: Mathematics.; Algebraic geometry.; Algebra.; Field theory (Physics).; Applied mathematics.; Engineering mathematics.; Algorithms.; Mathematical models.; Geometry.; Algebraic Geometry.; Field Theory and Polynomials.; Applications of Mathematics.; Mathematical Modeling and Industrial Mathematics.

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...

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.