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1. Iterative process for G 2-multi degree reduction of Bézier curves

Author

Rababah, Abedallah and Mann, Stephen

Subjects
*ITERATIVE methods (Mathematics), *ALGORITHMS, *STOCHASTIC convergence, *CURVES, *MATHEMATICAL analysis, *NUMERICAL analysis
Abstract

Abstract: In this paper, the issue of multi-degree reduction of Bézier curves with C 1 and G 2-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. [Copyright &y& Elsevier]

Published
2011
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