marina@ai.toronto.edu (Marina Haloulos) (12/21/89)
Department of Computer Science, University of Toronto
(GB = Gailbraith Building, 35 St. George Street)
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GRAPHICS & INTERACTION SEMINAR
GB220, at 3:00 p.m., Tuesday 9 January 1990
Dr. Brian A. Barsky
University of California - Berkeley
"The Rational Beta-spline Form for Curve and Surface Representation"
We will develop the rational Beta-spline which combines the features of the
rational form, in general, with those of the Beta-spline representation,
specifically. The result is a representation that unifies free-form
curves and surfaces along with conic sections and quadric surfaces, is
invariant under affine and projective transformation, possesses both
weights and shape parameters, is geometrically continuous, has local
control, and satisfies the convex hull property. The result is a
representation which is general, flexible, and amenable to implementation
in modern geometric modelling systems.