期刊
JOURNAL OF MATHEMATICAL IMAGING AND VISION
卷 35, 期 1, 页码 1-22出版社
SPRINGER
DOI: 10.1007/s10851-009-0150-5
关键词
Image processing; k-means clustering; Modulation recovery; Mumford-Shah functional; Piecewise constant reconstruction; Segmentation; Shape and topological sensitivity
类别
资金
- Austrian Science Fund (FWF) [Y 305, F 3204] Funding Source: researchfish
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.
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