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Computer Aided Geometric Design
1st Edition - December 28, 1974
Editors: Robert E. Barnhill, Richard F. Riesenfeld
9 7 8 - 1 - 4 8 3 2 - 6 8 4 8 - 4
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,… Read more
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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.
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
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