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Shape Interrogation for CAD/CAM by Nicholas Patrikalakis, Takashi Maekawa




Shape Interrogation for CAD/CAM - Table of Contents

1. Representation of Curves and Surfaces 2. Differential Geometry of Curves 3. Differential Geometry of Surfaces 4. Nonlinear Polynomial Solvers and Robustness Issues 5. Intersection Problems 6. Differential Geometry of Intersection Curves 7. Distance Functions 8. Curve and Surface Interrogation 9. Umbilics and Lines of Curvature 10. Geodesics 11. Offset Curves and Surfaces

What You Will Learn in Shape Interrogation for CAD/CAM

"Shape Interrogation for Computer Aided Design and Manufacturing" by Nicholas Patrikalakis and Takashi Maekawa is an advanced technical book focused on analyzing and extracting meaningful information from complex geometric models. It explains how "CAD/CAM systems" understand and process shapes used in modern product design, especially when working with free-form curves and surfaces found in engineering and manufacturing. The book explores the mathematical foundations behind "geometric modeling", including curve and surface analysis, surface intersections, curvature, and distance calculations. It clearly connects theory with practice by presenting algorithms used to evaluate shape quality, detect geometric features, and ensure design accuracy. These methods are essential for tasks such as tool-path generation, surface inspection, and model validation in industrial workflows. Overall, this book is a valuable resource for graduate students, researchers, and professionals working in "computer-aided design", "manufacturing", and computational geometry. With its strong focus on "surface interrogation", numerical methods, and real engineering applications, it serves as both a learning reference and a practical guide for understanding how complex shapes are analyzed in modern design and production environments.

Book Details & Specifications

Title: Shape Interrogation for CAD/CAM by Nicholas Patrikalakis, Takashi Maekawa
Publisher: Springer-Verlag
Year: 2009
Pages: 423
Type: PDF
Language: English
ISBN-10 #: 3540424547
ISBN-13 #: 978-3540424543
License: University Educational Resource (no license claimed)
Amazon: Amazon

About the Author: Nicholas M. Patrikalakis

The author Nicholas M. Patrikalakis is a well-known academic and researcher in "geometric modeling", "CAD/CAM", and "applied mathematics". He is recognized for connecting mathematical theory with practical engineering tools, especially in analyzing complex curves and surfaces used in modern design systems. Takashi Maekawa is a respected expert in "computer graphics", "surface geometry", and "computational design". His research focuses on efficient algorithms for shape analysis and manufacturing applications. Together, their work combines strong theory with real-world "engineering geometry", making their contributions valuable to both researchers and industry professionals.


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