EAN: 9783642040733

SHAPE INTERROGATION FOR COMPUTER AIDED DESIGN A...

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.

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