Computer Aided Geometric Design - 1st Edition - ISBN: 9780120790500, 9781483268484

Computer Aided Geometric Design

1st Edition

Editors: Robert E. Barnhill Richard F. Riesenfeld
eBook ISBN: 9781483268484
Imprint: Academic Press
Published Date: 28th December 1974
Page Count: 336
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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

Details

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

About the Editor

Robert E. Barnhill

Richard F. Riesenfeld