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弱条件下牛顿迭代的收敛性 被引量:5
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作者 张镇 倪伟才 《浙江大学学报(理学版)》 CAS CSCD 2003年第5期503-505,513,共4页
对算子的二次导数满足的Lipschitz条件进行了讨论,提出了一般性条件,以使其具有普遍性.通过使用优算子方法,证明了Newton法在新条件下收敛,并给出方程的解的存在惟一性定理.
关键词 弱条件 牛顿迭代 收敛性 Lipschitz条件 优算子方法 NEWTON法 惟一性定理
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Optimal multilevel thresholding based on molecular kinetic theory optimization algorithm and line intercept histogram 被引量:3
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作者 范朝冬 任柯 +1 位作者 张英杰 易灵芝 《Journal of Central South University》 SCIE EI CAS CSCD 2016年第4期880-890,共11页
Among all segmentation techniques, Otsu thresholding method is widely used. Line intercept histogram based Otsu thresholding method(LIH Otsu method) can be more resistant to Gaussian noise, highly efficient in computi... Among all segmentation techniques, Otsu thresholding method is widely used. Line intercept histogram based Otsu thresholding method(LIH Otsu method) can be more resistant to Gaussian noise, highly efficient in computing time, and can be easily extended to multilevel thresholding. But when images contain salt-and-pepper noise, LIH Otsu method performs poorly. An improved LIH Otsu method(ILIH Otsu method) is presented, which can be more resistant to Gaussian noise and salt-and-pepper noise. Moreover, it can be easily extended to multilevel thresholding. In order to improve the efficiency, the optimization algorithm based on the kinetic-molecular theory(KMTOA) is used to determine the optimal thresholds. The experimental results show that ILIH Otsu method has stronger anti-noise ability than two-dimensional Otsu thresholding method(2-D Otsu method), LIH Otsu method, K-means clustering algorithm and fuzzy clustering algorithm. 展开更多
关键词 image segmentation multilevel thresholding Otsu thresholding method kinetic-molecular theory (KMTOA) line intercept histogram
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