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Shape Interrogation for Computer Aided Design and Manufacturing

  • Nicholas M. Patrikalakis
  • Takashi Maekawa

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Nicholas M. Patrikalakis, Takashi Maekawa
    Pages 1-33
  3. Nicholas M. Patrikalakis, Takashi Maekawa
    Pages 35-48
  4. Nicholas M. Patrikalakis, Takashi Maekawa
    Pages 49-72
  5. Nicholas M. Patrikalakis, Takashi Maekawa
    Pages 73-108
  6. Nicholas M. Patrikalakis, Takashi Maekawa
    Pages 109-160
  7. Nicholas M. Patrikalakis, Takashi Maekawa
    Pages 161-180
  8. Nicholas M. Patrikalakis, Takashi Maekawa
    Pages 181-194
  9. Nicholas M. Patrikalakis, Takashi Maekawa
    Pages 195-230
  10. Nicholas M. Patrikalakis, Takashi Maekawa
    Pages 231-264
  11. Nicholas M. Patrikalakis, Takashi Maekawa
    Pages 265-291
  12. Nicholas M. Patrikalakis, Takashi Maekawa
    Pages 293-365
  13. Back Matter
    Pages 367-408

About this book

Introduction

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.

From the reviews:

"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. [… ] It may well be one of the most important books of the 2002s that has been written on shape interrogation for graduate students in mathematics, engineering, computer science, focusing on geometrical modeling and solid modeling. The book will inform and enlighten professionals in industry and therefore remains essential reading for them too. Currently there are several excellent books in the area of geometric modeling and in the area of solid modeling. The major contribution of this book lies in its skilful manner of providing a bridge between these two areas that is guaranteed to make the target audience cry out aloud with delight."
Current Engineering Practice 2002-2003, Vol. 45, Issue 3-4

"This book gives a detailed description of algorithms and computational methods for shape interrogation [… ] The book can be used in a course for advanced graduate students and also as a reference text for researchers and practitioners in CAD/CAM. [… ] is a very detailed and complete book on topics that are important in both the theory and the practice of geometric modeling."
L. Henrique de Figueiredo, Mathematical Reviews 2003 a

"... This book by Patrikalakis and Maekawa is the first thorough, long overdue, look at this crucial area. [… ] It will serve well any researcher, either in academia or industry, working in the area of freeform design or manufacturing. This work continues from the point where the traditional geometric design and solid modeling books stop. ... Shape interrogation and computational geometry of freeform shapes have been a part of the geometric design and manufacturing community for a long time. This book makes efforts and is likely to become the 'Bible' for this area. As a high-quality produced book, it is a must reference for any advanced researcher or developer who works with splines and freeform representations. If you consider yourself one, this book should probably be on your bookshelf."
G. Elber, Computer-Aided Design 35 (2003) 1053

Keywords

Area CAM algorithms computer-aided design (CAD) distance model modeling reading

Authors and affiliations

  • Nicholas M. Patrikalakis
    • 1
  • Takashi Maekawa
    • 2
  1. 1.Dept. Mechanical EngineeringMassachusetts Institute of TechnologyCambridgeU.S.A.
  2. 2.Dept. of Mechanical EngineeringYokohama National UniversityYokohamaJapan

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-04074-0
  • Copyright Information Springer-Verlag Berlin Heidelberg 2002
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-04073-3
  • Online ISBN 978-3-642-04074-0
  • Buy this book on publisher's site