The Quadratic Trigonometric B-Spline Curve with a Shape Parameter

Abstract:

A quadratic trigonometric B-spline curve analogous to the standard quadratic uniform B-spline curve, with a shape parameter, is presented in this work. The shape of the proposed curve can be adjusted by altering the value of the shape parameter while the control polygon is kept unchanged. With the shape parameter, the quadratic trigonometric B-spline curve can be closer to given polygon than the standard quadratic uniform B-spline curve. The proposed curve can be used to accurately represent the ellipse.

• Periodical: Advanced Materials Research (Volumes 468-471)
• Pages: 2463-2466
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.468-471.2463
• Online since: February 2012
• Authors: Jun Cheng Li, Guo Hua Chen, Lian Yang
• Keywords: B-Spline Curve, Computer Aided Design (CAD), Shape Parameter, Trigonometric Polynomial

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