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Open Access Green as soon as Postprint is submitted to ZB.
Explicit topological priors for deep-Learning based image segmentation using persistent homology.
In:. Berlin [u.a.]: Springer, 2019. 16-28 (Lect. Notes Comput. Sc. ; 11492 LNCS)
We present a novel method to explicitly incorporate topological prior knowledge into deep learning based segmentation, which is, to our knowledge, the first work to do so. Our method uses the concept of persistent homology, a tool from topological data analysis, to capture high-level topological characteristics of segmentation results in a way which is differentiable with respect to the pixelwise probability of being assigned to a given class. The topological prior knowledge consists of the sequence of desired Betti numbers of the segmentation. As a proof-of-concept we demonstrate our approach by applying it to the problem of left-ventricle segmentation of cardiac MR images of subjects from the UK Biobank dataset, where we show that it improves segmentation performance in terms of topological correctness without sacrificing pixelwise accuracy.
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Publication type
Article: Edited volume or book chapter
Keywords
Cardiac Mri ; Persistent Homology ; Segmentation ; Topological Data Analysis ; Topology
ISSN (print) / ISBN
0302-9743
e-ISSN
1611-3349
Quellenangaben
Volume: 11492 LNCS,
Pages: 16-28
Publisher
Springer
Publishing Place
Berlin [u.a.]
Non-patent literature
Publications
Institute(s)
Institute for Machine Learning in Biomed Imaging (IML)