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- Title
C³ cubic trigonometric B-spline curves with a real parameter.
- Authors
Wei Xie; Juncheng Li
- 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.
- Subjects
TRIGONOMETRY; PARAMETER estimation; PARABOLA; TRIGONOMETRIC functions; POLYNOMIALS
- Publication
Journal of the National Science Foundation of Sri Lanka, 2018, Vol 46, Issue 1, p89
- ISSN
1391-4588
- Publication type
Article
- DOI
10.4038/jnsfsr.v46i1.8268