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Filling n-sided regions with NURBS patches

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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.

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Authors and Affiliations

  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

    Les A. Piegl

  2.  GeomWare, Inc., 3036 Ridgetop Road, Tyler, TX 75703, USA E-mail: geomware@gower.net, , , , , , US

    Wayne Tiller

Authors
  1. Les A. Piegl
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Piegl, L., Tiller, W. Filling n-sided regions with NURBS patches. The Visual Computer 15, 77–89 (1999). https://doi.org/10.1007/s003710050163

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  • DOI: https://doi.org/10.1007/s003710050163