Benninghoff, Heike and Garcke, Harald (2017) Segmentation of Three-Dimensional Images with Parametric Active Surfaces and Topology Changes. Journal of Scientific Computing 72 (3), pp. 1333-1367.
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Other URL: http://doi.org/10.1007/s10915-017-0401-3
Abstract
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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| Item type: | Article | ||||
|---|---|---|---|---|---|
| Date: | 2017 | ||||
| Institutions: | Mathematics > Prof. Dr. Harald Garcke | ||||
| Identification Number: |
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| Keywords: | GEOMETRIC EVOLUTION-EQUATIONS; CONTOUR MODELS; DATABASE CONSORTIUM; CURVE EVOLUTION; MUMFORD; COLOR; SHAPE; APPROXIMATION; RESTORATION; ENHANCEMENT; Image segmentation; Finite element approximation; Parametric method; Three-dimensional images; Active surfaces; Topology changes | ||||
| Dewey Decimal Classification: | 500 Science > 510 Mathematics | ||||
| Status: | Published | ||||
| Refereed: | Yes, this version has been refereed | ||||
| Created at the University of Regensburg: | Yes | ||||
| Item ID: | 39229 |
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