Efficient Image Segmentation and Restoration Using Parametric Curve Evolution with Junctions and Topology Changes

Benninghoff, Heike and Garcke, Harald (2014) Efficient Image Segmentation and Restoration Using Parametric Curve Evolution with Junctions and Topology Changes. SIAM JOURNAL ON IMAGING SCIENCES, 7 (3). pp. 1451-1483. ISSN 1936-4954,

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Abstract

Curve evolution schemes are introduced for image segmentation based on a region-based contour model allowing for junctions, vector-valued images, and topology changes. Together with an a posteriori denoising in the segmented homogeneous regions, this leads to a fast and efficient method for image segmentation and restoration. An uneven spread of mesh points is avoided by using the tangential degrees of freedom. Several numerical simulations on artificial test problems and on real images illustrate the performance of the method.

Item Type: Article
Uncontrolled Keywords: MEAN-CURVATURE FLOW; ACTIVE CONTOURS; MUMFORD; EQUATIONS; SHAPE; ENHANCEMENT; MODELS; EDGES; image segmentation; restoration; active contours; region-based; Mumford-Shah; Chan-Vese; parametric method; variational methods; topology changes; equidistribution; triple junctions
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics > Prof. Dr. Harald Garcke
Depositing User: Dr. Gernot Deinzer
Date Deposited: 29 Nov 2019 08:51
Last Modified: 29 Nov 2019 08:51
URI: https://pred.uni-regensburg.de/id/eprint/10916

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