CAJ | 학술논문

主要从分形插值函数的理论出发，利用Matlab软件绘制分形插值函数的图像，绘出确定的垂直压缩因子与随机垂直压缩因子的函数图像，定性地分析垂直压缩因子的变化所引起的分形插值函数图像的变化．最后，通过计算得到分形插值函数的图像的盒维数随着垂直压缩因子的变大而变大．
주요종분형삽치함수적이론출발，이용Matlab연건회제분형삽치함수적도상，회출학정적수직압축인자여수궤수직압축인자적함수도상，정성지분석수직압축인자적변화소인기적분형삽치함수도상적변화．최후，통과계산득도분형삽치함수적도상적합유수수착수직압축인자적변대이변대．
Based on the theories of fractal interpolation functions, by using Matlab software, we draw the images of fractal interpolation functions for the determined vertical compression factors and random vertical compression factors. Quantitatively analyze the change of the images of the fractal interpolation functions caused by the vertical compression factors. Finally, we calculate Box dimension of the fractal interpolation function. Therefore, the relationships between the vertical compression factors and Box dimensions of fractal interpolation functions are obtained.