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Computer-Aided Geometric Design: A Totally Four-Dimensional Approach by Fujio Yamaguchi (Hardcover, 2002)

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.

Author
Fujio Yamaguchi
Publication Name
Computer-Aided Geometric Design: a Totally Four-Dimensional Approach
Format
Hardcover
Language
English
Subject
Computer Science
Publication Year
2002
Type
Textbook
Number of Pages
630 Pages

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