分形插值曲线的MATLAB实现

Fractal Interpolated Curve Achieved by the MATLAB Language

自然界中存在的许多现象具有分形特征,传统的Euclid空间对具有分形特征的自然界形态仿真具有一定的困难,对此可以用分形插值来拟合自然界形态。分形插值函数是由迭代函数系统(IFS)实现的,通过离散的数据点构成分形插值函数,可以证明分形插值函数是这个IFS唯一的吸引子。利用MATLAB矩阵运算与图形绘制功能,实现离散数据点的分形插值拟合。试验结果表明,该算法具有简捷直观的特点。

In the nature ,many phenomena exists the fractal characteristic, the traditional Euclid＇s space simulate the fractal characteristic nature shape to have certain difficulty.Regarding this reason, may use the fractal interpolation to fit the nature shape. The fractal interpolated function is realized by the Iterated Function System （IFS）, using the discrete data point constructs fractal interpolated function, it may prove that the fractal interpolating function is the IFS＇s sole attractor. Using the MATLAB matrix operation and the graph plan function may realize the discrete data point to the fractal interpolation fitting. The test result indicated that this algorithm has the simple and intuitive characteristic.