Uncertainty quantification in image segmentation using the Ambrosio--Tortorelli approximation of the Mumford--Shah energy
dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
dc.bibliographicCitation.volume | 2703 | |
dc.contributor.author | Hintermüller, Michael | |
dc.contributor.author | Stengl, Steven-Marian | |
dc.contributor.author | Surowiec, Thomas M. | |
dc.date.accessioned | 2022-06-30T12:54:13Z | |
dc.date.available | 2022-06-30T12:54:13Z | |
dc.date.issued | 2020 | |
dc.description.abstract | The quantification of uncertainties in image segmentation based on the Mumford-Shah model is studied. The aim is to address the error propagation of noise and other error types in the original image to the restoration result and especially the reconstructed edges (sharp image contrasts). Analytically, we rely on the Ambrosio-Tortorelli approximation and discuss the existence of measurable selections of its solutions as well as sampling-based methods and the limitations of other popular methods. Numerical examples illustrate the theoretical findings. | eng |
dc.description.version | publishedVersion | eng |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/9353 | |
dc.identifier.uri | https://doi.org/10.34657/8391 | |
dc.language.iso | eng | |
dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | |
dc.relation.doi | https://doi.org/10.20347/WIAS.PREPRINT.2703 | |
dc.relation.hasversion | https://doi.org/10.1007/s10851-021-01034-2 | |
dc.relation.issn | 2198-5855 | |
dc.rights.license | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. | eng |
dc.rights.license | Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. | ger |
dc.subject.ddc | 510 | |
dc.subject.other | Image segmentation | eng |
dc.subject.other | Mumford-Shah | eng |
dc.subject.other | Ambrosio-Tortorelli | eng |
dc.subject.other | measurable selection | eng |
dc.subject.other | Monte-Carlo | eng |
dc.subject.other | sampling | eng |
dc.title | Uncertainty quantification in image segmentation using the Ambrosio--Tortorelli approximation of the Mumford--Shah energy | eng |
dc.type | Report | eng |
dc.type | Text | eng |
dcterms.extent | 32 S. | |
tib.accessRights | openAccess | |
wgl.contributor | WIAS | |
wgl.subject | Mathematik | |
wgl.type | Report / Forschungsbericht / Arbeitspapier |
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