Shape Analysis in Computer-Aided Design and Manufacturing

Author: Nicholas M. Baryshnikov et al. / Feng Jieqing / Ye Xiuzi
Publisher:
Publish Date: 2005-01-01
Features: Shape analysis is the process of extracting useful information from geometric models and is a fundamental component of Computer-Aided Design and Manufacturing (CAD/CAM) systems. This book bridges the gap between the field of geometric modeling and the field of solid modeling, providing a unified mathematical foundation and algorithms for various shape analysis problems. It primarily includes topics such as the solution of nonlinear polynomials, intersection problems, differential geometry of intersection curves, distance functions, shape analysis of curves and surfaces, umbilics and curvature lines, geodesics and isometric surfaces. This book can serve as a textbook for advanced geometric modeling courses and also as a reference for CAD/CAM researchers and industrial product design professionals. Shape analysis is the process of extracting useful information from geometric models and is a fundamental component of Computer-Aided Design and Manufacturing (CAD/CAM) systems. This book bridges the gap between the field of geometric modeling and the field of solid modeling, providing a unified mathematical foundation and algorithms for various shape analysis problems. It primarily includes topics such as the solution of nonlinear polynomials, intersection problems, differential geometry of intersection curves, distance functions, shape analysis of curves and surfaces, umbilics and curvature lines, geodesics and isometric surfaces. This book can serve as a textbook for advanced geometric modeling courses and also as a reference for CAD/CAM researchers and industrial product design professionals.