Shape interrogation for Computer Aided Design and Manufacturing

Author(s)
Bibliographic Information

Shape interrogation for Computer Aided Design and Manufacturing

Nicholas M. Patrikalakis and Takashi Maekawa

Springer-Verlag, c2002

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Note

Includes bibliographical references (p. [381]-403) and index

Description and Table of Contents

Description

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. This book provides a bridge between the areas geometric modeling and solid modeling. Apart from the differential geometry topics covered, the entire book is based on the unifying concept of recasting all shape interrogation problems to the solution of a nonlinear system. It 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, and geodesics.

Table of Contents

Representation of Curves and Surfaces.- Differential Geometry of Curves.- Differential Geometry of Surfaces.- Nonlinear Polynomial Solvers and Robustness Issues.- Intersection Problems.- Differential Geometry of Intersection Curves.- Distance Functions.- Curve and Surface Interrogation.- Umbilics and Lines of Curvature.- Geodesics.- Offset Curves and Surfaces.

by "Nielsen BookData"

Details
  • NCID
    BA56353315
  • ISBN
    • 3540424547
  • Country Code
    gw
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Berlin
  • Pages/Volumes
    xvi, 408 p.
  • Size
    24 cm
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