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 language | English |
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Pages (from-to) | 8126-8133 |
Number of pages | 8 |
Journal | Applied Mathematics and Computation |
Volume | 217 |
Issue number | 20 |
DOIs | |
Publication status | Published - Jun 15 2011 |
Externally published | Yes |
Keywords
- Bézier curves
- G-continuity
- Geometric continuity
- Iterative methods
- Multi-degree reduction
ASJC Scopus subject areas
- Computational Mathematics
- Applied Mathematics