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2013•AIP conference proceedingsRequires access

Quartic and quintic polynomial interpolation

Saw Hiang Tan, Jamaludin Md. Ali

Open publisher page 3 citations

Abstract

Basis polynomials of quartic and quintic parametric interpolations are discussed to interpolate given data points. The aim is constructing a curve that exactly interpolates all data points. Besides, the shape of curve can be controlled by using parameters t and changing the magnitude of tangents, α and β. When large number of data points is given, piecewise polynomial interpolation will be used. Therefore, quartic and quintic interpolations also have been discussed to interpolate large number of data points.

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What this paper is about

Basis polynomials of quartic and quintic parametric interpolations are discussed to interpolate given data points. The aim is constructing a curve that exactly interpolates all data points. Besides, the shape of curve can be controlled by using parameters t and changing the magnitude of tangents, α and β. When large number of data points is given, piecewise polynomial interpolation will be used. Therefore, quartic and quintic interpolations also have been discussed to interpolate large number of data points.

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Available abstract

Basis polynomials of quartic and quintic parametric interpolations are discussed to interpolate given data points. The aim is constructing a curve that exactly interpolates all data points. Besides, the shape of curve can be controlled by using parameters t and changing the magnitude of tangents, α and β. When large number of data points is given, piecewise polynomial interpolation will be used. Therefore, quartic and quintic interpolations also have been discussed to interpolate large number of data points.

Key concepts: Quartic function, Quintic function, Interpolation (computer graphics), Quartic surface, Mathematics, Piecewise, Polynomial, Tangent

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