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2003•Journal of Zhejiang Normal UniversityRequires access

B Spline curve with shape parameter of five degree

Xiaoyan Shi

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Abstract

In this paper the uniform B Spline with shape parameter of five degree was given,of which the uniform B Spline of five degree is a special example. The spline curves constructed by the uniform B Spline with shape parameter of five degree basic functions can adjust the curve′s shape and the approaching degree between the curve and its control polygon by changing the parameter value.

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What this paper is about

In this paper the uniform B Spline with shape parameter of five degree was given,of which the uniform B Spline of five degree is a special example. The spline curves constructed by the uniform B Spline with shape parameter of five degree basic functions can adjust the curve′s shape and the approaching degree between the curve and its control polygon by changing the parameter value.

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Available abstract

In this paper the uniform B Spline with shape parameter of five degree was given,of which the uniform B Spline of five degree is a special example. The spline curves constructed by the uniform B Spline with shape parameter of five degree basic functions can adjust the curve′s shape and the approaching degree between the curve and its control polygon by changing the parameter value.

Key concepts: Degree (music), Mathematics, Polygon (computer graphics), Shape parameter, Spline (mechanical), B-spline, Smoothing spline, Geometry

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