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Computer-Aided Geometric Design: A Totally Four-Dimensional Approach

Computer-Aided Geometric Design: A Totally Four-Dimensional Approach

Paperback

General ComputersProgramming

ISBN10: 4431680071
ISBN13: 9784431680079
Publisher: Springer Nature
Published: Oct 21 2012
Pages: 630
Weight: 2.04
Height: 1.35 Width: 6.14 Depth: 9.21
Language: English
Computer graphics, computer-aided design, and computer-aided manufacturing are tools that have become indispensable to a wide array of activities in contemporary society. Euclidean processing provides the basis for these computer-aided design systems although it contains elements that inevitably lead to an inaccurate, non-robust, and complex system. The primary cause of the deficiencies of Euclidean processing is the division operation, which becomes necessary if an n-space problem is to be processed in n-space. The difficulties that accompany the division operation may be avoided if processing is conducted entirely in (n+1)-space. The paradigm attained through the logical extension of this approach, totally four-dimensional processing, is the subject of this book. This book offers a new system of geometric processing techniques that attain accurate, robust, and compact computations, and allow the construction of a systematically structured CAD system.

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