Multiphase Image Segmentation and Modulation Recovery Based on Shape and Topological Sensitivity
Multiphase Image Segmentation and Modulation Recovery Based on Shape and Topological Sensitivity
复制标题
基于形状和拓扑敏感性的多相图像分割和调制恢复
DOI：
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发表时间：
2009
影响因子：
2
通讯作者：
A. Laurain
中科院分区：
文献类型：
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作者：
M. Hintermüller;A. Laurain
对分段常数Mumford-Shah泛函进行了拓扑灵敏度分析。将拓扑导数和形状导数相结合，得到了一种具有全自动初始化的图像分割算法。给出了二维和三维数据的分割方法。此外，提出了一种广义的Mumford-Shah泛函，并对其进行了数值研究，用于分割由于例如线圈敏感性而调制的图像。
Topological sensitivity analysis is performed for the piecewise constant Mumford-Shah functional. Topological and shape derivatives are combined in order to derive an algorithm for image segmentation with fully automatized initialization. Segmentation of 2D and 3D data is presented. Further, a generalized Mumford-Shah functional is proposed and numerically investigated for the segmentation of images modulated due to, e.g., coil sensitivities.