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

Jernej Kozak () and Emil Žagar ()
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Jernej Kozak: Faculty of Mathematics and Physics and IMFM
Emil Žagar: Faculty of Mathematics and Physics and IMFM

A chapter in Proceedings of the Conference on Applied Mathematics and Scientific Computing, 2005, pp 245-252 from Springer

Abstract: 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.

Keywords: Parametric curve; geometric interpolation (search for similar items in EconPapers)
Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4020-3197-7_17

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DOI: 10.1007/1-4020-3197-1_17

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