| 基于改进的Chambolle对偶迭代的图像分割方法 |
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| 引用本文： | 张俊,顾广泽,杨余飞. 基于改进的Chambolle对偶迭代的图像分割方法[J]. 湖南农业大学学报(自然科学版), 2013, 40(5): 99-102 |
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| 作者姓名： | 张俊 顾广泽 杨余飞 |
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| 作者单位： | （1. 湖南大学 数学与计量经济学院, 湖南 长沙410082; 2. 长沙学院 信息与计算科学系, 湖南 长沙410003） |
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| 摘 要： | 为了克服基于对偶迭代的分割方法在要求达到较高精度的分割时收敛较慢的缺点, 提出了对二相位分片常数Mumford-Shah模型的一个子问题采用改进的Chambolle对偶迭代进行求解. 通过对Chambolle对偶迭代和一种修正对偶迭代分别进行局部傅立叶分析, 证明了所提出的算法的合理性. 实验结果表明: 对于two-cell图像， dot256图像, 当终止准则精度要求更高时, 提出的算法迭代步数少, 收敛更快.
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| 关 键 词： | 图像分割 对偶算法 水平集方法 局部傅立叶分析 |
Image Segmentation Method Based on the Improved Dual Iteration of Chambolle |
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| ZHANG Jun,GU Guang-ze,YANG Yu-fei. Image Segmentation Method Based on the Improved Dual Iteration of Chambolle[J]. Journal of Hunan Agricultural University, 2013, 40(5): 99-102 |
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| Authors: | ZHANG Jun GU Guang-ze YANG Yu-fei |
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| Abstract: | In order to overcome the slow convergence of the segmentation method based on the Chambolle''s dual iterations to achieve high precision segmentation, we proposed an improved dual iteration of Chambolle to solve one of the sub-problems arising from the two-phase piecewise constant Mumford-Shah model. By using the LFA of the Chambolle''s dual iterations and a modified dual iteration respectively, we have proved that the proposed algorithm is very reasonable. Experiment results have shown that, for the two-cell image and the dot256 image, when the accuracy of the termination criterion is higher, the number of iterations of the proposed algorithm is less, and it converges faster. |
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| Keywords: | image segmentation dual algorithm level set method local Fourier analysis |
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