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Geometric Interpolation of Data in $$\mathbb{R}$$ 3

In: Proceedings of the Conference on Applied Mathematics and Scientific Computing

Author

Listed:
  • Jernej Kozak

    (Faculty of Mathematics and Physics and IMFM)

  • Emil Žagar

    (Faculty of Mathematics and Physics and IMFM)

Abstract

In this paper, the problem of geometric interpolation of space data is considered. Cubic polynomial parametric curve is supposed to interpolate five points in three dimensional space. It is a case of a more general problem, i.e., the conjecture about the number of points in $$\mathbb{R}$$ d which can be interpolated by parametric polynomial curve of degree n. The necessary and sufficient conditions are found which assure the existence and the uniqueness of the interpolating polynomial curve.

Suggested Citation

  • Jernej Kozak & Emil Žagar, 2005. "Geometric Interpolation of Data in $$\mathbb{R}$$ 3," Springer Books, in: Zlatko Drmač & Miljenko Marušić & Zvonimir Tutek (ed.), Proceedings of the Conference on Applied Mathematics and Scientific Computing, pages 245-252, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4020-3197-7_17
    DOI: 10.1007/1-4020-3197-1_17
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