Future Vision and Trends on Shapes, Geometry and Algebra

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Amicis, Raffaele De (Επιμελητής έκδοσης), Conti, Giuseppe (Επιμελητής έκδοσης)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: London : Springer London : Imprint: Springer, 2014.
• Σειρά: Springer Proceedings in Mathematics & Statistics, 84
• Θέματα: 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...

Πίνακας περιεχομένων:

• 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.