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'Shape
Название: Shape Interrogation for Computer Aided Design and Manufacturing
Автор: Nicholas M. Patrikalakis, Takashi Maekawa
Издательство: Springer
Год: 2009
ISBN: 364204073X / 9783642040733
Страниц: 419
Язык: 419
Формат: pdf
Размер: 61 Mb
Shape interrogation is the process of extraction of information from a geometric model. It is a fundamental component of Computer Aided Design and Manufacturing (CAD/CAM) systems. The authors focus on shape interrogation of geometric models bounded by free-form surfaces. Free-form surfaces, also called sculptured surfaces, are widely used in the bodies of ships, automobiles and aircraft, which have both functionality and attractive shape requirements. Many electronic devices as well as consumer products are designed with aesthetic shapes, which involve free-form surfaces. This book provides the mathematical fundamentals as well as algorithms for various shape interrogation methods.

From the reviews:
This book provides the mathematical fundamentals as well as algorithms for various shape interrogation methods including nonlinear polynomial solvers, intersection problems, differential geometry of intersection curves, distance functions, curve and surface interrogation, umbilics and lines of curvature, geodesics, and offset curves and surfaces. [… ] It may well be one of the most important books of the 2002s that has been written on shape interrogation for graduate students in mathematics, engineering, computer science, focusing on geometrical modeling and solid modeling. The book will inform and enlighten professionals in industry and therefore remains essential reading for them too. Currently there are several excellent books in the area of geometric modeling and in the area of solid modeling. The major contribution of this book lies in its skilful manner of providing a bridge between these two areas that is guaranteed to make the target audience cry out aloud with delight."
Current Engineering Practice 2002-2003, Vol. 45, Issue 3-4

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