Item description for Shape Interrogation for Computer Aided Design and Manufacturing (Mathematics and Visualization) by Nicholas M. Patrikalakis...
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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Est. Packaging Dimensions: Length: 9.9" Width: 6.1" Height: 0.8" Weight: 1.15 lbs.
Release Date Mar 22, 2002
ISBN 3540424547 ISBN13 9783540424543
Availability 104 units. Availability accurate as of Mar 28, 2017 03:55.
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Reviews - What do customers think about Shape Interrogation for Computer Aided Design and Manufacturing (Mathematics and Visualization)?
A powerful tool for CAD/CAM research & development Oct 15, 2002
Many excellent books analyze models/methods to represent curves and surfaces in Computer-Aided Design & Manufacturing (CAD/CAM) systems, but this is the first one focusing on solving some very complex geometric modeling problems underlying many engineering applications. The authors identify these bottleneck problems, analyze them in detail, and present state-of-the-art solution algorithms. These important problems are:
"Intersection problems" (Chapters 5 and 6), "Distance calculations" (Chapter 7), "Curve/Surface Interrogation" (Chapters 8 and 9), "Computation of Shortest Paths" (Chapter 10), and "Offset Curves and Surfaces" (Chapter 11).
In each one of the above chapters, the corresponding problem is fully analyzed using tools from advanced Geometric Modeling, Numerical Methods and Differential Geometry, some of which are new results previously available only in research journals. The authors have done an excellent job in collecting all these results in a single volume, offering an invaluable tool to CAD/CAM professionals who do not have the time to study and analyze themselves all this literature.
The solutions proposed go beyond standard tricks and heuristics: the problems are formulated as systems of nonlinear equations and reliable solution-algorithms are offered based either on standard methods or on fresh research. Robustness issues (accuracy, treatment of special cases, singularities, etc) are at the center of discussion guiding the reader on dealing with the most difficult aspects of geometric-software development.
In short, this book is a powerful tool for CAD/CAM professionals (software architects/developers, consultants, engineers/users, academic teachers and researchers, etc) as: 1) Very useful results are analyzed, that alternatively are available only in advanced mathematical texts and current research publications. 2) Problems are discussed in detail using theoretical results as well as examples. 3) Robust solution methods are presented, based on a solid mathematical analysis as opposed to heuristics. 4) All prerequisites are fully analyzed in the first 4 chapters, making the volume self-contained.