Short communication: The octant of a sphere as a non-degenerate triangular Bézier patch

Authors:
G. Farin;B. Piper;A. J. Worsey
Affiliations:
Department of Computer Science, Arizona State University, Tempe, AZ 85287, U.S.A.;Department of Mathematics, Rensselaer Polytechnic Institute, Troy, NY 12180-3590, U.S.A.;Department of Mathematical Sciences, University of North Carolina at Wilmington, Wilmington, NC 28403, U.S.A.
Venue:
Computer Aided Geometric Design
Year:
1987

Citing 4
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Abstract

We construct a symmetric rational quartic map from the standard triangle onto an octant of a sphere. The surface is non-degenerate: all Bezier points are distinct and their associated weights are positive.