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Titlebook: Computer-Aided Geometric Design; A Totally Four-Dimen Fujio Yamaguchi Book 2002 Springer-Verlag Tokyo 2002 CAM.Computational Geometry.Compu

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书目名称Computer-Aided Geometric Design
副标题A Totally Four-Dimen
编辑Fujio Yamaguchi
视频videohttp://file.papertrans.cn/235/234444/234444.mp4
概述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
图书封面Titlebook: Computer-Aided Geometric Design; A Totally Four-Dimen Fujio Yamaguchi Book 2002 Springer-Verlag Tokyo 2002 CAM.Computational Geometry.Compu
描述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.
出版日期Book 2002
关键词CAM; Computational Geometry; Computer-Aided Geometric Design; Four-dimensional Geometric Processing; Hom
版次1
doihttps://doi.org/10.1007/978-4-431-67881-6
isbn_softcover978-4-431-68007-9
isbn_ebook978-4-431-67881-6
copyrightSpringer-Verlag Tokyo 2002
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The Evolution of Social Institutions problem, and in most cases the (.+1)-dimensional problem is more easily solved than the .-dimensional one. Thus, by projecting the result of the (.+1)dimensional case, one can obtain the result for the .-dimensional case [40]. With homogeneous coordinates, points at infinity can be treated in the s
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https://doi.org/10.1007/978-3-031-23054-7s are involved in the processing because we desire that all the theories, algorithms, geometry definitions, geometric computations and numerical data are not badly influenced by the transformations, in other words, invariant under these transformations..
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https://doi.org/10.1007/978-3-319-77300-1 generally Plucker coordinates and coefficients). These types include flat sets., simplices, curves and surfaces, polygons and polyhedra. More detailed discussions on curves and surfaces will be given in Chapters 10 and 11 respectively.
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G. Israelian,R. J. Garcia Lopez,R. Reboloomputations in the space are usually done without the use of division operations. If required, exact computations might be carried out using long integer data. In this case the concept of vector space used in Section 3.1 must be generalized such that it is defined as module based on ring of integers
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https://doi.org/10.1007/978-4-431-67881-6CAM; Computational Geometry; Computer-Aided Geometric Design; Four-dimensional Geometric Processing; Hom
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Transformationss are involved in the processing because we desire that all the theories, algorithms, geometry definitions, geometric computations and numerical data are not badly influenced by the transformations, in other words, invariant under these transformations..
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