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 ...

Export bibliographical data
Item type: | Article | ||||
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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 |