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

Yamaguchi, Fujio

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.

Details

Published by: Springer

Publication Date: 2012-10-21

Format: Paperback

ISBN-10: 9784431680079

ISBN-13: 9784431680079

DOI: 10.1007/978-4-431-67881-6

Dimensions: 235cm x155cm

Pages: 630