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From conics to NURBS: A tutorial and survey

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1 Author(s)
Farin, G. ; Dept. of Comput. Sci., Arizona State Univ., Tempe, AZ, USA

The main geometric features of the nonuniform rational B-splines (NURBS) curve and surface representations are described. It is shown that most of these features are already exhibited by conics, which are a special case of NURBS. The properties typical of NURBS are discussed without dwelling on properties already present in polynomial curves. Conic sections and their representations using rational Bezier curves are reviewed. Cubic NURB curves, geometrical rational splines, rational and B-spline surfaces, and rational Bezier triangles are discussed.<>

Published in:

Computer Graphics and Applications, IEEE  (Volume:12 ,  Issue: 5 )

Date of Publication:

Sept. 1992

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