Constrained Control of a Rational Interpolant

Meng Tian; Hong Ling Geng

doi:10.4028/www.scientific.net/AMR.225-226.170

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 225-226Constrained Control of a Rational Interpolant

Constrained Control of a Rational Interpolant

Abstract:

In this paper, a rational cubic spline interpolation has been constructed using the rational cubic spline with quadratic denominator and the rational cubic spline based on function values. The spline can preserve monotonicity of the data set. The spline not only belongs to in the interpolating interval, but could also be used to constrain the shape of the interpolant curve such as to force it to be the given region. The explicit representation is easily constructed, and numerical experiments indicate that the method produces visually pleasing curves.

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Periodical:

Advanced Materials Research (Volumes 225-226)

Pages:

170-173

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.225-226.170

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Online since:

April 2011

Authors:

Meng Tian, Hong Ling Geng

Keywords:

Constrained Control, Curve Design, Interpolant, Rational

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