A Comparative Study on Cubic Bezier and Beta-Spline Curves

Authors

  • Normi Abdul Hadi
  • Arsmah Ibrahim
  • Fatimah Yahya
  • Jamaludin Md Ali

DOI:

https://doi.org/10.11113/matematika.v29.n.578

Abstract

Most researchers today prefer to use Bezier curve in their works rather than Beta-spline curve. There are several reasons and one of them is that Bezier curve is faster to plot than Beta-spline. However Beta-spline also has several advantages and one of it is this curve is built on $G^2$ continuity condition. This property makes Beta-spline achieves the required smoothness faster than Bezier curve. In this paper, we introduce the method of Beta-spline control points evaluation and make comparison between Bezier and Beta-spline curves in terms of their continuity, and circle approximation. Keywords: Bezier; Beta-spline; Circle approximation; Control points evaluation 2010 Mathematics Subject Classification: 65D07

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Published

2013-06-01

How to Cite

Abdul Hadi, N., Ibrahim, A., Yahya, F., & Md Ali, J. (2013). A Comparative Study on Cubic Bezier and Beta-Spline Curves. MATEMATIKA: Malaysian Journal of Industrial and Applied Mathematics, 29, 55–64. https://doi.org/10.11113/matematika.v29.n.578

Issue

Section

Mathematics