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Title
Multiphase image segmentation and modulation recovery based on shape and topological sensitivity
AuthorHintermüller, Michael In der Gemeinsamen Normdatei der DNB nachschlagen ; Laurain, Antoine
Published in
Journal of Mathematical Imaging and Vision, Dordrecht [u.a.], 2009, Vol. 35, Issue 1, page 1-22
PublishedSpringer
Edition
Accepted version
LanguageEnglish
Document typeJournal Article
Keywords (EN)Image processing / k-means clustering / Modulation recovery / Mumford-Shah functional / Piecewise constant reconstruction / Segmentation / Shape and topological sensitivity
ISSN1573-7683
URNurn:nbn:at:at-ubg:3-1067 Persistent Identifier (URN)
DOI10.1007/s10851-009-0150-5 
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 The work is publicly available
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Multiphase image segmentation and modulation recovery based on shape and topological sensitivity [3.43 mb]
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Abstract (English)

Topological sensitivity analysis is performed for the piecewise constant Mumford-Shah functional. Topological and shape derivatives are combined in order to derive an algorithm for image segmentation with fully automatized initialization. Segmentation of 2D and 3D data is presented. Further, a generalized Mumford-Shah functional is proposed and numerically investigated for the segmentation of images modulated due to, e.g., coil sensitivities.

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