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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Geometric Element Definitions 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.

旧石器时代

Exact Arithmeticomputations 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 (see Section 16.3).

教义

通便

Fujio YamaguchiOffers 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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引导

Interdisciplinary Evolution ResearchIt is of vital importance that a computer-aided geometric design system is sufficiently reliable. We will examine the conventional geometric processing approach in terms of exactness, robustness and compactness which have a direct bearing on the system’s reliability.

Spinal-Tap

祖传财产

https://doi.org/10.1007/978-3-030-51437-2In the two-sided space, it is possible to treat oriented lines (or planes), signed angles, line segments and convex sets, which could not be treated in classical projective space, while still retaining the useful properties for geometric computations existing in classical projective space ..

清洗

Frequency

Mandatory or Voluntary Standards?,As a solution of resolving the various problems encountered in Part I, we shall propose “Totally Four-dimensional Geometric Processing,” or “Four-dimensional Processing” in short. In Part II, we shall describe the various techniques of this processing method in detail.