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Representing quadric surfaces using NURBS surfaces

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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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References

  1. Piegl L, Tiller W. Curve and surface constructions using rational B-splines.CAD, 1987, 19(9): 485–496.

    MATH  Google Scholar 

  2. Qin Kaihuai. Neural network methods for NURBS curve and surface interpolation.J. of Comput. Sci. & Technol., 1997, 12(1).

  3. Qin Kaihuai. Representing conics using NURBS curves of a high degree. Accepted byTsinghua Science and Technology.

  4. Piegl L. On NURBS: A survey.IEEE CG&A, 1991, 11(1): 55–71.

    Google Scholar 

  5. de Boor C. On calculating with B-splines.J. Approx. Theory, 1972, 6: 50–62.

    Article  MATH  Google Scholar 

  6. Qin Kaihuai, Sun Jiaguang, Wang X: Representing conics using NURBS of degree two.Computer Graphics Forum, 1992, 11(5): 285–291.

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Authors and Affiliations

  1. Department of Computer Science & Technology, Tsinghua University, 100084, Beijing

    Qin Kaihuai

Authors
  1. Qin Kaihuai
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Additional information

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

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