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Segmentation of Three-Dimensional Images with Parametric Active Surfaces and Topology Changes

Benninghoff, Heike ; Garcke, Harald


In this paper, we introduce a novel parametric finite element method for segmentation of three-dimensional images. We consider a piecewise constant version of the Mumford-Shah and the Chan-Vese functionals and perform a region-based segmentation of 3D image data. An evolution law is derived from energy minimization problems which push the surfaces to the boundaries of 3D objects in the image. We ...


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