2011•Journal of Hefei University of TechnologyRequires access

Hyperbolic polynomial uniform B-spline with multiple shape parameters

Yin Chi-jiang

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Abstract

In this paper,the extension of hyperbolic polynomial uniform B-spline is provided by using the subsection integral and introducing multiple shape parameters.This kind of curve combines the main properties of both the standard hyperbolic polynomial uniform B-spline curve and the hyperbolic polynomial uniform B-spline curve with single shape parameter.The shape of the curves can be adjusted entirely or locally by changing the values of the shape parameters,which is convenient for the design of the hyperbolic polynomial uniform B-spline curve.The instances of the uniform B-spline curve with multiple shape parameters are given to demonstrate the overall and local adjustment of the curve.

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What this paper is about

In this paper,the extension of hyperbolic polynomial uniform B-spline is provided by using the subsection integral and introducing multiple shape parameters.This kind of curve combines the main properties of both the standard hyperbolic polynomial uniform B-spline curve and the hyperbolic polynomial uniform B-spline curve with single shape parameter.The shape of the curves can be adjusted entirely or locally by changing the values of the shape parameters,which is convenient for the design of the hyperbolic polynomial uniform B-spline curve.The instances of the uniform B-spline curve with multiple shape parameters are given to demonstrate the overall and local adjustment of the curve.

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Available abstract

In this paper,the extension of hyperbolic polynomial uniform B-spline is provided by using the subsection integral and introducing multiple shape parameters.This kind of curve combines the main properties of both the standard hyperbolic polynomial uniform B-spline curve and the hyperbolic polynomial uniform B-spline curve with single shape parameter.The shape of the curves can be adjusted entirely or locally by changing the values of the shape parameters,which is convenient for the design of the hyperbolic polynomial uniform B-spline curve.The instances of the uniform B-spline curve with multiple shape parameters are given to demonstrate the overall and local adjustment of the curve.

Key concepts: Mathematics, Spline (mechanical), B-spline, Polynomial, Mathematical analysis, Hyperbolic triangle, Hyperbolic function, Curve fitting

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