Split Bregman Method for Minimization of Fast Multiphase Image Segmentation Model for Inhomogeneous Images

Split Bregman Method for Minimization of Fast Multiphase Image Segmentation Model for Inhomogeneous Images
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非均匀图像快速多相图像分割模型最小化的Split Bregman方法

DOI:
10.1007/s10957-014-0597-4
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发表时间:
2014-06
影响因子:
1.9
通讯作者:
Wu, Boying
Wu, Boying
中科院分区:
数学3区
文献类型:
--
作者:
Yang, Yunyun;Zhao, Yi;Wu, Boying

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在本文中,我们提出了一个快速的多相图像分割模型的变分水平集制定。该模型主要用于非均匀性图像。新定义的能量泛函结合了局部强度信息、全局强度信息和边缘信息来处理图像的不均匀性。我们使用随位置变化的权重函数来动态地控制局部和全局信息的力。新的能量泛函的特殊结构保证了分裂Bregman方法可以用于快速极小化。我们应用分裂Bregman方法来极小化新的能量泛函,并总结了几个定理中的重要结果。给出了这些结果的理论依据。文中还给出了一些数值结果。
In this paper, we present a fast multiphase image segmentation model in a variational level set formulation. The proposed model is mainly used for images with inhomogeneity. The newly defined energy functional combines the local intensity information, the global intensity information, and the edge information to deal with the inhomogeneity. We use a weight function varying with locations to control the force of the local and global information dynamically. The special structure of the new energy functional ensures that the split Bregman method can be used for fast minimization. We apply the split Bregman method to minimize the new energy functional and summarize important results in several theorems. Theoretical evidences for these results are given. Several numerical results are also presented.
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