Shape Interrogation for Computer Aided Design and Manufacturing

Nicholas Patrikalakis, Takashi Maekawa

408 pages, parution le 27/02/2002

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Résumé

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 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. This book will be of interest both to graduate students and professionals.

Contents

Representation of Curves and Surfaces
Differential Geometry of Curves
Differential Geometry of Surfaces
Nonlinear polynomial Solvers and Robustness Issues
Intersection Problems
Differential Geometry of Intersection Curves
Distance Functions
Umbilics and Lines of Curvature
Geodesics
Offset Curves and Surfaces
Problems
Color Plates
References
Index

Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Nicholas Patrikalakis, Takashi Maekawa
Parution	27/02/2002
Nb. de pages	408
Format	15,5 x 23,5
Couverture	Relié
Poids	706g
Intérieur	Noir et Blanc
EAN13	9783540424543