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A scheme for interpolation with trigonometric spline curves

Domenii publicaţii > Matematica + Tipuri publicaţii > Articol în revistã ştiinţificã

Autori: Imre Juhász, Ágoston Róth

Editorial: Journal of Computational and Applied Mathematics, 263(C), p.246-261, 2014.

Rezumat:

We present a method for the interpolation of a given sequence of data points with $C^n$ continuous trigonometric spline curves of order n+1 (n > 0) that are produced by blending elliptical arcs. Ready to use explicit formulas for the control points of the interpolating arcs are also provided. Each interpolating arc depends on a global parameter $alpha in (0, pi)$ that can be used for global shape modification. Associating non-negative weights with data points, rational trigonometric interpolating spline curves can be obtained, where weights can be used for local shape modification. The proposed interpolation scheme is a generalization of Overhauser spline, and it includes a $C^n$ Bézier spline interpolation method as the limiting case $alpha o 0$.

Cuvinte cheie: interpolation, trigonometric spline, blending, Bézier spline, Overhauser spline, shape parameters

URL: http://dx.doi.org/10.1016/j.cam.2013.12.034