| 关于分形的定义与分维的计算 |
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| 引用本文： | 吴敏金.关于分形的定义与分维的计算[J].上海师范大学学报(自然科学版),1992(3). |
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| 作者姓名： | 吴敏金 |
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| 作者单位： | 华东师范大学教育信息技术系 |
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| 基金项目： | 北京大学信息科学中心国家计算机视觉与听觉实验室资助项目 |
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| 摘 要： | 本文目的旨在解决分形学(Fractals)中的一个悬而未解、而又至关重要的问题,即分形及其度量——分形维数的确切严格定义。进而分别考察离散分形与连续分形的分维计算公式。阐述一种具有并行、实时且普遍适用的分形维数——Minkowski维数及其数字化算法。
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| 关 键 词： | 分形 分形变换 分形示性数 分形维数 |
On Definition of Fractal and Calculation of Fractal Dimension |
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| WU MINJIN.On Definition of Fractal and Calculation of Fractal Dimension[J].Journal of Shanghai Normal University(Natural Sciences),1992(3). |
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| Authors: | WU MINJIN |
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| Institution: | Department of Educational In formation Technology |
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| Abstract: | In this paper, an unsolved and Important problem in fractals, which is the exact definition of fractal and its measurement-fractal dimension, has been solved, The calculation formalas of discrete fractal and continual fractal have been proposed. Minkowske fractal dimension and its digital algorithms, which have paralled, real time and wide used properties, have been discussed. |
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| Keywords: | fractal fractal transformation fractal indicatrix fractal dimension |
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