Precise Implementation of Cad Primitives Using Rational Parametrizations of Standard Surfaces - Softcover
Synopsis
This book discusses the problem of computing the intersection curve of two algebraic surfaces, each of which possesses rational parametrization. It focuses on the special case where the two surfaces are quadric. The author analyzes this case in detail, using a general decomposition theorem that guarantees the existence of a simultaneous canonical reduction of two quadratic forms in Euclidean n-space. In homogeneous 4-space this yields a classification and simple parametrization of all possible intersections between two quadric surfaces. Using these results, the author then treats the problem of analyzing the structure of solid bodies defined by Boolean combinations of half-spaces bounded by arbitrary quadric surfaces. The analysis leads to fast versions of some of the procedures required for geometric modeling systems. The author's insights pave the way for elegant algorithms that can be used in computer-aided design and solid modeling applications.
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Paperback. Condition: New. Print on Demand. This book discusses the problem of computing the intersection curve of two algebraic surfaces, each of which possesses rational parametrization. It focuses on the special case where the two surfaces are quadric. The author analyzes this case in detail, using a general decomposition theorem that guarantees the existence of a simultaneous canonical reduction of two quadratic forms in Euclidean n-space. In homogeneous 4-space this yields a classification and simple parametrization of all possible intersections between two quadric surfaces. Using these results, the author then treats the problem of analyzing the structure of solid bodies defined by Boolean combinations of half-spaces bounded by arbitrary quadric surfaces. The analysis leads to fast versions of some of the procedures required for geometric modeling systems. The author's insights pave the way for elegant algorithms that can be used in computer-aided design and solid modeling applications. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781334013799_0
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781334013799
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781334013799
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PRECISE IMPLEMENTATION OF CAD
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Condition: New. KlappentextrnrnExcerpt from Precise Implementation of Cad Primitives Using Rational Parametrizations of Standard SurfacesIf for the moment we ignore the computational cost factor on which Wesley lays a very justified stress, it becomes p. Seller Inventory # 2148104235
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