Future Vision and Trends on Shapes, Geometry and Algebra

種類:

電子ブック

責任表示:

edited by Raffaele Amicis, Giuseppe Conti

出版情報:

London : Springer London : Imprint: Springer, 2014

著者名:

• Amicis, Raffaele
• Conti, Giuseppe
• SpringerLink (Online service)

シリーズ名:

Springer Proceedings in Mathematics & Statistics ; 84

ISBN:

9781447164616 [144716461X]    

注記:

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 covered, the entire book is based on the unifying concept of using algebraic techniques – properly specialized to solve geometric problems – to seriously improve accuracy, robustness and efficiency of CAD-systems. It provides new approaches as well as industrial applications to deform surfaces when animating virtual characters, to automatically compare images of handwritten signatures, and to improve control of NC machines. This book further introduces a noteworthy representation based on 2D contours, which is essential to model the metal sheet in industrial processes. It additionally reviews applications of numerical algebraic geometry to differential equations systems with multiple solutions and bifurcations. Future Vi

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