Reading: C3 cubic trigonometric B-spline curves with a real parameter

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C3 cubic trigonometric B-spline curves with a real parameter

Authors:

Wei Xie,

CN
About Wei
College of Science, Guilin University of Technology, Guilin 541004, China
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Juncheng Li

CN
About Juncheng
College of Mathematics and Finance, Hunan University of Humanities, Science and Technology, Loudi 417000, China
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Abstract

This paper presents a class of cubic trigonometric B-spline curves with a real parameter α, which are called α-B-spline curves. The α-B-spline curves have properties similar to those of the standard cubic uniform B-spline curves. In particular, the α-B-spline curves are C3 and can achieve shape adjustment by altering the value of the parameter α even if the control points are kept unchanged. With proper conditions, the α-B-spline curves also can exactly represent arcs of ellipses and parabolas. In order to obtain smooth α-B-spline curves, a method for determining the value of parameter α is presented.

How to Cite: Xie, W. & Li, J., (2018). C3 cubic trigonometric B-spline curves with a real parameter. Journal of the National Science Foundation of Sri Lanka. 46(1), pp.89–94. DOI: http://doi.org/10.4038/jnsfsr.v46i1.8268
Published on 28 Mar 2018.
Peer Reviewed

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