摘要
本文分析了整体线性分形插值原理,利用曲线上的有限个插值点,选取适当的垂直比例因子,可以近似地构造出原曲线,在此逼近计算的过程中,给出了一种易实现的分形插值误差计算方法,并基于MatLab说明了整体线性分形插值的实现过程。同时提出了粒子群优化算法寻最优垂直比例因子的可能性。最后讨论了分形插值中的一些问题及发展状况。
The analysis of the whole linear fractal interpolation theory is explored in the paper. With the finite interpolation points, choosing appropriate uprightness proportion factor, we can constructive the primary curve. In the process of approximate algorithm, we get a method for the error calculation of fractal interpolation, it is easy to realize and the process of the whole linear fractal interpolation is discussed based on MatLab. At the same time, it is possible that finding the best value of uprightness proportion factor through particle swarm optimization algorithm. Finally, we discussed some topic and development of fractal interpolation.
出处
《九江学院学报（社会科学版）》
2007年第3期58-61,共4页
Journal of Jiujiang University：Social Science Edition
基金
九江学院科研项目(06KJ28)
华南农业大学综合性设计实验项目(S05060)
关键词
分形插值
垂直比例因子
迭代函数系统
fractal interpolation
uprightness proportion factor
iterated function systems（IFS）
