Iterative process for G(2)-multi degree reduction of Bezier curves

作者：Rababah Abedallah; Manna Stephen^*

来源：Applied Mathematics and Computation, 2011, 217(20): 8126-8133.

DOI：10.1016/j.amc.2011.03.016

• Bezier curves
• Multi-degree reduction
• Iterative methods
• Geometric continuity
• G(2)-continuity

In this paper, the issue of multi-degree reduction of Bezier 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.

• 出版日期2011-6-15