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| 星积分形曲面及其维数 | |
| 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. |
| 作者姓名： | 谢和平 冯志刚 陈至达 |
| 作者单位： | 1. 中国矿业大学(北京校区)岩石力学与分形研究所,北京,100083 2. 中国矿业大学(北京校区)岩石力学与分形研究所,北京,100083;江苏镇江师范专科学校,数学系,江苏,镇江,212003 3. 中国矿业大学(北京校区)基础科学系,北京,100083 |
| 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 |
| 关 键 词： | 维数 分形曲线 分形曲面 星积分形曲面 |
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. | |
| Authors: | Xie Heping Feng Zhigang Chen Zhida |
| 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. |
| Keywords: | dimension fractal curve fractal surface SPFS |
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