红外与激光工程, 2002, 31 (4): 310, 网络出版: 2006-04-28  

基于变分法的图像分割的数值算法

Numerical algorithm for image segmentation based on variational method
田岩 1,2,3,4苏建忠 1,2,3,4田金文 1,2,3,4柳健 1,2,3,4
作者单位
1 华中科技大学图像识别与人工智能研究所国家教育部图像处理与人工智能重点实验室
2 湖北
3 武汉
4 430074
摘要
解释一种图像分割问题的数学模型,并讨论图像分割问题与Mumford-Shh泛函的关系,对此问题首先就一维的情形提出一种可行的解法并推广到二维.若干试验结果验证了算法的有效性.
Abstract
A mathematical model for image segmentation is presented. The link between Mumford-Shah's functional and image segmentation is discussed. As there is not an effective numerical method to solve this problem, a feasible algorithm for the variational problem in 1D is developed and then it is extended to 2D (image). A few experimental results proved the efficiency for the case of 1D and 2D.
参考文献

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田岩, 苏建忠, 田金文, 柳健. 基于变分法的图像分割的数值算法[J]. 红外与激光工程, 2002, 31(4): 310. 田岩, 苏建忠, 田金文, 柳健. Numerical algorithm for image segmentation based on variational method[J]. Infrared and Laser Engineering, 2002, 31(4): 310.

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