Abstract
A method for representing quadric surfaces using NURBS is presented. By means of the necessary and sufficient conditions for NURBS curves to precisely represent circular arcs and other conics, quadric surfaces can be represented by NURBS surfaces with fewer control vertices. The method can be used not only for NURBS surface representation of quadric surfaces, but also for rounding polyhedrons. Many examples are given in the paper.
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This project is supported by the National Natural Sciences Foundation of China.
For the biography ofQin Kaihuai, please refer to p.89, Vol.12, No.1 of this Journal.
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Qin, K. Representing quadric surfaces using NURBS surfaces. J. of Comput. Sci. & Technol. 12, 210–216 (1997). https://doi.org/10.1007/BF02948971
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DOI: https://doi.org/10.1007/BF02948971