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Filling n-sided regions with NURBS patches
Authors:Les A Piegl  Wayne Tiller
Affiliation:(1)  Department of Computer Science & Engineering, University of South Florida, 4202 Fowler Avenue, ENG 118, Tampa, FL 33620, USA E-mail: piegl@grad.csee.usf.edu, US;(2)  GeomWare, Inc., 3036 Ridgetop Road, Tyler, TX 75703, USA E-mail: geomware@gower.net, US
Abstract:n -sided region with G ɛ continuous NURBS patches that interpolate boundary curves and approximate given cross-boundary derivatives. The NURBS surfaces joining along inner or boundary curves have normal vectors that do not deviate more than the user-specified angular tolerance ɛ. The method is general in that there are no restrictions on the number of boundary curves, and the cross-boundary derivatives can be specified independently. To satisfy all conditions, only one degree elevation is needed.
Keywords::   N-sided patches  NURBS  Coons surfaces    continuity
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