Computer-aided geometric design : a totally four-dimensional approach /
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 lea...
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| Format: | eBook |
| Language: | English |
| Published: |
Tokyo ; New York :
Springer,
[2002]
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| Online Access: | Connect to the full text of this electronic book |
| Summary: | 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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| Item Description: | Softcover reprint of the hardcover 1st edition 2002. Electronic resource. |
| Physical Description: | 1 online resource (xxxix, 630 pages) : illustrations |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 9784431678816 (electronic bk.) 4431678816 (electronic bk.) |