| 基于欧氏距离相关函数的多重分形谱算法 |
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| 引用本文： | 蒋爱平,王祁,杨兴全.基于欧氏距离相关函数的多重分形谱算法[J].传感技术学报,2007,20(9):2053-2056. |
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| 作者姓名： | 蒋爱平 王祁 杨兴全 |
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| 作者单位： | 浙江大学,工业控制技术国家重点实验室,杭州,310027;哈尔滨工业大学电气工程与自动化学院,哈尔滨,150001;哈尔滨工业大学电气工程与自动化学院,哈尔滨,150001;黑龙江大学电子工程学院,哈尔滨,150080 |
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| 基金项目： | 黑龙江省研究生创新科研项目，黑龙江大学校科研和教改项目，黑龙江省普通高等学校电子工程重点实验室支持项目 |
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| 摘 要： | 提出了一种基于欧氏距离相关函数计算多重分形谱的算法.介绍了基于测度理论的多重分形谱的定义,定义了基于欧氏距离相关函数的概率测度,对基于欧氏距离相关函数的多重分形谱算法的性能进行了分析.采取衬底法与方差法进行仿真比较的方法,进行了线性区间,抗噪声性能和收敛速度的比较.该算法具有保持和加强图像的局部特性,突出图像的细微处的特点,克服了多重分形谱对噪声敏感的缺点,且权重因子收敛快.
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| 关 键 词： | 分形 多重分形 相关函数 边缘检测 图像分割 |
| 文章编号： | 1004-1699（2007）09-2053-04 |
| 收稿时间： | 2007-01-22 |
| 修稿时间： | 2007-01-222007-04-03 |
Multifractal Analysis Based on Euclid Distance Correlation Function |
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| JIANG Aiping, WANG Qi, YANG Yuehua.Multifractal Analysis Based on Euclid Distance Correlation Function[J].Journal of Transduction Technology,2007,20(9):2053-2056. |
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| Authors: | JIANG Aiping WANG Qi YANG Yuehua |
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| Abstract: | Multifractal spectrum algorithm based on Euclid Distance Correlation Function (EDCF) is presented. The definition of multifractal spectrum based on measure theory is introduced. The probability measure based on EDCF is defined that can be used to estimate the multifractal spectrum. The capability of multifractal spectrum of EDCF is analyzed. Regarding the Bottom Interface, Variance and EDCF, carry on the comparison separately to the initial image and the noised image which have segmented. The above approach shows that the noise can be repressed effectively, the local property of an image can be remained as much as possible and the fine property can be stressed, and the weighted factor is converged quickly. |
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| Keywords: | fractal multifractal correlation function edge detection image segmentation |
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