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Hyperbolic Polynomial Uniform B-Spline with Shape Parameter

Wentao Wang

Open publisher page 11 citations

Abstract

The basis function of n order hyperbolic polynomial uniform B-spline with shape parameter is constructed so that the shape of the constructed curve can be adjusted by changing the parameter value. The hyperbola can be represented with this basis function accurately. With elevation of the order, feasible range of the shape parameter value is extended.

About this research paper

What this paper is about

The basis function of n order hyperbolic polynomial uniform B-spline with shape parameter is constructed so that the shape of the constructed curve can be adjusted by changing the parameter value. The hyperbola can be represented with this basis function accurately. With elevation of the order, feasible range of the shape parameter value is extended.

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OpenAlex reports 11 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

The basis function of n order hyperbolic polynomial uniform B-spline with shape parameter is constructed so that the shape of the constructed curve can be adjusted by changing the parameter value. The hyperbola can be represented with this basis function accurately. With elevation of the order, feasible range of the shape parameter value is extended.

Key concepts: Mathematics, Polynomial, B-spline, Spline (mechanical), Applied mathematics, Mathematical analysis, Structural engineering, Engineering

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