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
图像分割 变分方法 有界变差函数 Г-收敛性 Hausdorff测度 Image segmentation Variational method Bounded variation functions Γ-convergence Hausdorff measures
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.
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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