Multiphase image segmentation and modulation recovery based on shape and topological sensitivity

DOI10.1007/s10851-009-0150-5zbMath1490.68282OpenAlexW2151953103WikidataQ115155197 ScholiaQ115155197MaRDI QIDQ993539

Antoine Laurain, Michael Hintermüller

Publication date: 20 September 2010

Published in: Journal of Mathematical Imaging and Vision (Search for Journal in Brave)

Full work available at URL: http://unipub.uni-graz.at/doi/10.1007/s10851-009-0150-5

zbMATH Keywords

shapeimage processingsegmentationMumford-Shah functional\(k\)-means clusteringtopological sensitivitymodulation recoverypiecewise constant reconstruction

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10)

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Uses Software

• AS 136

Cites Work

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• Level set methods and dynamic implicit surfaces
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• Optimal approximations by piecewise smooth functions and associated variational problems
• Weakly Differentiable Functions
• On the Topological Derivative in Shape Optimization
• A Second Order Shape Optimization Approach for Image Segmentation

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