| 分形插值函数及其维数 |
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| 引用本文： | 马林涛,陈德勇,张琰.分形插值函数及其维数[J].广西民族学院学报(自然科学版),2012(3):34-38. |
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| 作者姓名： | 马林涛 陈德勇 张琰 |
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| 作者单位： | [1]广西师范大学数学科学学院,广西桂林541004 [2]桂林市计量测试研究所,广西桂林541004 |
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| 基金项目： | 基金项目：国家自然科学基金资助项目（10571084）. |
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| 摘 要： | 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．
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| 关 键 词： | 分形插值函数 垂直压缩因子 Matlab程序 盒维数 |
Fractal Interpolation Function and its Dimension |
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| MA Lin-tao,CHEN De-yong,ZHANG Yan.Fractal Interpolation Function and its Dimension[J].Journal of Guangxi University For Nationalities(Natural Science Edition),2012(3):34-38. |
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| Authors: | MA Lin-tao CHEN De-yong ZHANG Yan |
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| Institution: | 1. College of Mathematical Sciences, Guangxi Normal University, Guilin 541004, China; 2. Guilin Measurement ＆ Testing Research Institute, Guilin 541004, China) |
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| Abstract: | 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. |
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| Keywords: | Fractal Interpolation Function Vertical Compression Factor Matlah Programming Box Dimension |
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