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.
