Shape Interrogation for CAD/CAM by Nicholas Patrikalakis, Takashi Maekawa
Shape Interrogation for CAD/CAM - Table of Contents
PART I: GEOMETRY & SOLVERS
- 1. Representation of Curves and Surfaces
- 2. Differential Geometry of Curves
- 3. Differential Geometry of Surfaces
- 4. Nonlinear Polynomial Solvers and Robustness Issues
- 5. Surface and Curve Intersection Problems
- 6. Differential Geometry of Intersection Curves
PART II: FEATURES & OFFSETS
- 7. Computation of Distance Functions
- 8. Curve and Surface Interrogation
- 9. Umbilics and Lines of Curvature
- 10. Surface Navigation and Geodesics
- 11. Generation of Offset Curves and Surfaces
What You Will Learn in Shape Interrogation for CAD/CAM
Shape Interrogation for CAD/CAM by Nicholas M. Patrikalakis and Takashi Maekawa is an authoritative, mathematically rigorous monograph published by Springer that provides the theoretical and algorithmic foundations for analyzing, evaluating, and processing complex geometric shapes in modern engineering systems. This comprehensive volume guides readers through parametric curve and surface representations, classical differential geometry, robust nonlinear polynomial solvers, surface-surface intersection algorithms, distance functions, feature interrogation, umbilic points, lines of curvature, geodesics, and offset curve/surface generation with exceptional analytical precision and structural logic.
Designed for graduate students, computational geometers, CAD/CAM software developers, mechanical engineers, and computer graphics researchers, this foundational text bridges pure differential geometry and practical computer-integrated manufacturing. The authors detail step-by-step algorithms for evaluating shape fairness, computing exact intersection curves, determining minimum distance functions, and constructing toolpaths along geodesics. Whether you are developing geometric modeling kernels, analyzing freeform surfaces, or building CNC machining algorithms, this book offers an indispensable roadmap.
Recognized globally as a definitive treatise on computational differential geometry for industrial application, it stands as one of the best geometric modeling books for advanced self-study. By connecting differential surface theory directly to robust numerical computation, it serves as an essential tool for mastering shape interrogation and CAD/CAM geometry with confidence.
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 the Kawasaki Professor of Engineering and Professor of Mechanical Engineering at the Massachusetts Institute of Technology (MIT), internationally renowned for his pioneering contributions to computer-aided design, ocean engineering geometry, and computational geometry. He has led extensive research in robust geometric modeling, shape interrogation, and autonomous underwater navigation systems.
Co-authored alongside Takashi Maekawa, Professor of Environment and Information Sciences at Yokohama National University and a leading researcher in geometric modeling and CAD systems, Shape Interrogation for CAD/CAM reflects their combined dedication to rigorous engineering pedagogy. Their clear mathematical formulation, robust algorithmic focus, and practical engineering insight make this volume a classic reference for computational differential geometry trusted by engineers and computational mathematicians worldwide.
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