Iterative process for G2-multi degree reduction of Bézier curves

Abedallah Rababah, Stephen Mann

Research output: Contribution to journalArticlepeer-review

30 Citations (Scopus)

Abstract

In this paper, the issue of multi-degree reduction of Bézier curves with C1 and G2-continuity at the end points of the curve is considered. An iterative method, which is the first of this type, is derived. It is shown that this algorithm converges and can be applied iteratively to get the required accuracy. Some examples and figures are given to demonstrate the efficiency of this method.

Original languageEnglish
Pages (from-to)8126-8133
Number of pages8
JournalApplied Mathematics and Computation
Volume217
Issue number20
DOIs
Publication statusPublished - Jun 15 2011
Externally publishedYes

Keywords

  • Bézier curves
  • G-continuity
  • Geometric continuity
  • Iterative methods
  • Multi-degree reduction

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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