Curves and Surfaces for Computer Aided Geometric Design

Curves and Surfaces for Computer Aided Geometric Design : A Practical Guide

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A book intended for members of the graphics community, senior and graduate level students in computer science, mathematics, and engineering, software developers of CAD/CAM systems, graphics programmers, and geometric modeling researchers. A leading expert in CAGD, Gerald Farin covers the representation, manipulation, and evaluation of geometric shapes in this the 3rd edition of "Curves and Surfaces for Computer Aided Geometric Design". The book offers an introduction to the field that emphasizes Bernstein-Bezier methods and presents subjects in an informal, readable style, making this an ideal text for an introductory course at the advanced undergraduate or graduate level. The third edition includes a new chapter on topoology, offers new exercises and sections within most chapters, combines the material on geometric continuity into the one chapter, and updates existing materials and references. Implementation techniques are addressed for practitioners by the inclusion of new C programs for many of the fundamental algorithms. The C programs are available on a disk included with the text.
Features of this text include coverage of the representation, manipulation and evaluation of geometric shapes; emphasis on Bernstein-Bezier methods; and an informal, easy-to-read style.
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Product details

  • Mixed media product | 512 pages
  • 166.9 x 231.9 x 28.2mm | 716.67g
  • Academic Press Inc
  • San Diego, United States
  • English
  • Revised
  • 3rd Revised edition
  • Illustrationssome col.)
  • 0122490525
  • 9780122490521

Table of contents

How a simple system was born, P. Bezier; introductory material; the de Castelajau algorithm; the Bernstein form of a Bezier curve; Bezier curve topics; polynomial interpolation; spline curves in Bezier form; piecewise cubic interpolation; cubic spline interpolation; B-splines; differential geometry 1, W. Boehm; geometric continuity 1; geometric continuity II; conic sections; rational Bezier and B-spline curves; tensor product Bezier surfaces; composite surfaces and spline interpolation Bezier triangles; geometric continuity for surfaces; coons patches; coons patches - additional material; differential geometry II, W. Beohm; interrogation and smoothing; evaluation of some methods; quick references of curve and surface terms.
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Review quote

From the Reviews of the Second Edition "The book is beautifully geometric, profusely illustrated, and is supported by an extensive bibliography consisting of more than 350 citations. Farin's informal, readable style and the exercises of varying degrees of difficulty make this an ideal text for an introductory course at the advanced undergraduate or graduate levels." TONY DEROSE UNIVERSITY OF WASHINGTON, SIAM NEWS
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