摘要
分形插值是一种构造分形曲线的方法。分形插值方法中的垂直比例因子的大小影响拟合函数曲线的起伏,控制插值曲线的拟合精度。该文在深入分析分形插值方法的基础上,结合遗传算法可以有导向的实现参数随机搜索优化的特点,将其应用到分形插值自由参数的选取中,实现分形插值曲线与实际函数的最佳拟合。仿真结果验证了遗传算法在垂直比例因子的寻优上的有效性。
Fractal interpolation is used to construct fractal curve. The uprightness proportion factor of fractal interpolation can affect the approximating function and control the approximating precise of the function. Based on the analysis of fractal interpolation, the optimization method of the uprightness proportion factor was studied using genetic algorithms, which is a kind of stochastic searching and optimizing method. Analysis results show that this method can realize the approximating of fractal function and real function.
出处
《杭州电子工业学院学报》
2004年第4期52-55,共4页
Journal of Hangzhou Institute of Electronic Engineering
基金
浙江省教育厅高校科研计划项目(20030651)
杭州电子工业学院科学研究基金资助项目(KYF071503002)
关键词
分形插值
遗传算法
垂直比例因子
Fractal interpolation
Genetic algorithms
Uprightness proportion factor
