| 分形插值曲面维数 |
| |
| 引用本文： | 焦建利,冯志刚,张树人.分形插值曲面维数[J].河南师范大学学报(自然科学版),2011,39(6):32-34. |
| |
| 作者姓名： | 焦建利 冯志刚 张树人 |
| |
| 作者单位： | 1. 上海健康职业技术学院理学教研室,上海,200237
2. 工苏大学理学院,江苏镇江,212013 |
| |
| 基金项目： | 国家自然科学基金，黑龙江省教育厅科学技术面上项目 |
| |
| 摘 要： | 主要利用分形插值曲面函数的一变差代替覆盖图像的最少盒子数计算矩形区域上分形插值曲面的维数,证明了分形插值曲面维数与压缩因子有关,并得到了维数的大小是由一个关于压缩因子的方程所决定.
|
| 关 键 词： | 分形 插值 变差 维数 |
Dimension of Fractal Interpolation Surface |
| |
| JIAO Jian-li,FENG Zhi-gang,ZHANG Shu-ren.Dimension of Fractal Interpolation Surface[J].Journal of Henan Normal University(Natural Science),2011,39(6):32-34. |
| |
| Authors: | JIAO Jian-li FENG Zhi-gang ZHANG Shu-ren |
| |
| Institution: | 1(1.Department of Science,Shanghai Healthy Vocational and Technical College,Shanghai 200237,China; 2.Faculty of Science,Jiangsu University,Zhenjiang 212013,China) |
| |
| Abstract: | In this paper,the fractal interpolation surface function(δ,γ)-variations replaced the minimum boxes covering the image are used to calculate the dimension of the fractal interpolation surface on the rectangular grids.It has proved dimension of fractal interpolation surface and the compression factor related,and obtained the conclusion that the dimension's size is determined by the equation about the compression factor. |
| |
| Keywords: | fractal interpolation variations dimension |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
