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

Downloads

Published

01-06-2013

Issue

Volume 29 (June 2013)

Section

Analysis and Algebra

License

Copyright of articles that appear in MATEMATIKA: MJIAM belongs exclusively to Penerbit UTM Press, Universiti Teknologi Malaysia. This copyright covers the rights to reproduce the article, including reprints, electronic reproductions or any other reproductions of similar nature.

How to Cite

A Comparative Study on Cubic Bezier and Beta-Spline Curves. (2013). MATEMATIKA, 29, 55-64. https://doi.org/10.11113/matematika.v29.n.578