| 星积分形曲面及其维数 |
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| 引用本文： | 谢和平,冯志刚,陈至达.星积分形曲面及其维数[J].应用数学和力学,1999,20(11):1101-1106. |
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| 作者姓名： | 谢和平 冯志刚 陈至达 |
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| 作者单位： | 1.中国矿业大学校区岩石力学与分形研究所, 北京100083; |
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| 摘 要： | 通过分形曲线定义了一类分形曲面(被称为星积分形曲面),讨论了这类分形曲面的分形维数,得出了分形曲线的维数与它们所构造出的分形曲面维数之间的关系。
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| 关 键 词： | 维数 分形曲线 分形曲面 星积分形曲面 |
| 收稿时间： | 1999-07-09 |
On Star Product Fractal Surfaces and Their Dimensions |
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| Xie Heping,Feng Zhigang,Chen Zhida.On Star Product Fractal Surfaces and Their Dimensions[J].Applied Mathematics and Mechanics,1999,20(11):1101-1106. |
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| Authors: | Xie Heping Feng Zhigang Chen Zhida |
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| Institution: | 1.Institute of Rock Mechanics &hractals, China University of Mining and Technology, Beijing 100083, P. R. China;2.Department of Mathematics, Zhenjiang Teacher's College, Zhenjiang 212003, P. R. China;3.Department of hundamental Science, China University of Mining and Technology, Beijing 100083, P. R. China |
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| Abstract: | In this paper, by using fractal curves, a family of fractal surfaces are defined. Each fractal surface of this family is called Star Product Fractal Surface (SPFS). A theorem of the dimensions of the SPFS is strictly proved. The relationship between the dimensions of the SPFS and the dimensions of the fractal curves constructing the SPFS is obtained. |
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| Keywords: | dimension fractal curve fractal surface SPFS |
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