Computer Aided Geometric Design

Computer Aided Geometric Design

First published on December 28, 1974

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  • Editors: Robert E. Barnhill, Richard F. Riesenfeld
  • eBook ISBN: 9781483268484

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Description

Computer Aided Geometric Design covers the proceedings of the First International Conference on Computer Aided Geometric Design, held at the University of Utah on March 18-21, 1974. This book is composed of 15 chapters and starts with reviews of the properties of surface patch equation and the use of computers in geometrical design. The next chapters deal with the principles of smooth interpolation over triangles and without twist constraints, as well as the graphical representation of surfaces over triangles and rectangles. These topics are followed by discussions of the B-spline curves and surfaces; mathematical and practical possibilities of UNISURF; nonlinear splines; and some piecewise polynomial alternatives to splines under tension. Other chapters explore the smooth parametric surfaces, the space curve as a folded edge, and the interactive computer graphics application of the parametric bi-cubic surface to engineering design problems. The final chapters look into the three-dimensional human-machine communication and a class of local interpolating splines. This book will prove useful to design engineers.

Table of Contents


  • Contributors

    Preface

    Surface Patches and B-Spline Curves

    Computational Geometry - Achievements and Problems

    Smooth Interpolation Over Triangles

    Smooth Interpolation without Twist Constraints

    Graphical Representation of Surfaces Over Triangles and Rectangles

    B-Spline Curves and Surfaces

    Mathematical and Practical Possibilities of UNISURF

    Constrained Interpolation Using Bézier Curves as a New Tool in Computer Aided Geometric Design

    Nonlinear Splines

    Some Piecewise Polynomial Alternatives to Splines under Tension

    Smooth Parametric Surfaces

    The Space Curve as a Folded Edge

    Interactive Computer Graphics Application of the Parametric Bi-Cubic Surface to Engineering Design Problems

    Man Machine Communication in Three Dimensions

    A Class of Local Interpolating Splines

Product details

  • No. of pages: 336
  • Language: English
  • Copyright: © Academic Press 1974
  • Published: December 28, 1974
  • Imprint: Academic Press
  • eBook ISBN: 9781483268484

About the Editors

Robert E. Barnhill

Richard F. Riesenfeld

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