| 分形几何及其分形插值研究 |
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| 引用本文： | 孙洪泉.分形几何及其分形插值研究[J].河北工业大学学报,2002,31(1):56-60. |
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| 作者姓名： | 孙洪泉 |
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| 作者单位： | 河北工业大学,土建学院,天津,300130 |
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| 摘 要： | 从欧氏空间中的“奇怪”的现象的引例出发,叙述了分形几何的基本概念和自然界中常见的分形,根据迭代函数系统的原理给出了分形插值曲线的基本原理和计算公式,研究了二维区域上分形插值曲面的数学模型,根据岩石断裂表面的实测数据,对其粗糙表面进行了分形插值研究。
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| 关 键 词： | 分形几何 分形维数 自相似性 分形插值 |
| 文章编号： | 1007-2373(2002)-01-0056-05 |
Fractal Geometry and Study on Fractal Interpolation |
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| SUN Hong-quan.Fractal Geometry and Study on Fractal Interpolation[J].Journal of Hebei University of Technology,2002,31(1):56-60. |
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| Authors: | SUN Hong-quan |
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| Abstract: | From a "strange" case in Euclidean space, the concept of fractal geometry and general fractal exam-ples in nature are introduced. On the theory of iterated function system, the principle and calculate formula of fractal interpolation curve are given and the mathematical model of fractal interpolation surface on rectangle fi-eld is studied. Based on the measured data on a rock fracture surface, the rock fracture roughness surfaces are simulated. |
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| Keywords: | fractal geometry fractal dimension self-similarity fractal interpolation |
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