Conference
A posteriori error estimation in biomedical imaging
| Τίτλος: | A posteriori error estimation in biomedical imaging |
|---|---|
| Συγγραφείς: | Beilina, Larisa, 1970 |
| Πηγή: | 4th IEEE International Symposium on Biomedical Imaging: From Nano to Macro - Proceedings. :1372-1375 |
| Θεματικοί όροι: | Biomedical imaging, Adaptive finite element methods, Inverse scattering, A posteriori error estimation, Transient wave equation, Hybrid finite element/difference method |
| Περιγραφή: | We present an adaptive hybrid FEM/FDM method for an inverse scattering problem in scanning acoustic microscopy with a special focus on new application in medical imaging. The problem takes the form of reconstructing an unknown sound velocity c(x) from boundary displacement data measured in acoustic microscopy in order to obtain the pathological defects in bone. The inverse problem is formulated as an optimal control problem, where we solve the equations of optimality expressing stationarity of an associated Lagrangian by a quasi-Newton method. We present a posteriori error estimate for the error in the Lagrangian which couples residuals of the computed solution to weights of the reconstruction obtained by solving and associated linearized problem for the Hessian of the Lagrangian. The performance of the adaptive hybrid method and usefulness of the a posteriori error estimator are illustrated in numerical examples. © 2007 IEEE. |
| Σύνδεσμος πρόσβασης: | https://research.chalmers.se/publication/217966 |
| Βάση Δεδομένων: | SwePub |
| FullText | Text: Availability: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: A posteriori error estimation in biomedical imaging – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Beilina%2C+Larisa%22">Beilina, Larisa</searchLink>, 1970 – Name: TitleSource Label: Source Group: Src Data: <i>4th IEEE International Symposium on Biomedical Imaging: From Nano to Macro - Proceedings</i>. :1372-1375 – Name: Subject Label: Subject Terms Group: Su Data: <searchLink fieldCode="DE" term="%22Biomedical+imaging%22">Biomedical imaging</searchLink><br /><searchLink fieldCode="DE" term="%22Adaptive+finite+element+methods%22">Adaptive finite element methods</searchLink><br /><searchLink fieldCode="DE" term="%22Inverse+scattering%22">Inverse scattering</searchLink><br /><searchLink fieldCode="DE" term="%22A+posteriori+error+estimation%22">A posteriori error estimation</searchLink><br /><searchLink fieldCode="DE" term="%22Transient+wave+equation%22">Transient wave equation</searchLink><br /><searchLink fieldCode="DE" term="%22Hybrid+finite+element%2Fdifference+method%22">Hybrid finite element/difference method</searchLink> – Name: Abstract Label: Description Group: Ab Data: We present an adaptive hybrid FEM/FDM method for an inverse scattering problem in scanning acoustic microscopy with a special focus on new application in medical imaging. The problem takes the form of reconstructing an unknown sound velocity c(x) from boundary displacement data measured in acoustic microscopy in order to obtain the pathological defects in bone. The inverse problem is formulated as an optimal control problem, where we solve the equations of optimality expressing stationarity of an associated Lagrangian by a quasi-Newton method. We present a posteriori error estimate for the error in the Lagrangian which couples residuals of the computed solution to weights of the reconstruction obtained by solving and associated linearized problem for the Hessian of the Lagrangian. The performance of the adaptive hybrid method and usefulness of the a posteriori error estimator are illustrated in numerical examples. © 2007 IEEE. – Name: URL Label: Access URL Group: URL Data: <link linkTarget="URL" linkTerm="https://research.chalmers.se/publication/217966" linkWindow="_blank">https://research.chalmers.se/publication/217966</link> |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1109/ISBI.2007.357116 Languages: – Text: English PhysicalDescription: Pagination: PageCount: 4 StartPage: 1372 Subjects: – SubjectFull: Biomedical imaging Type: general – SubjectFull: Adaptive finite element methods Type: general – SubjectFull: Inverse scattering Type: general – SubjectFull: A posteriori error estimation Type: general – SubjectFull: Transient wave equation Type: general – SubjectFull: Hybrid finite element/difference method Type: general Titles: – TitleFull: A posteriori error estimation in biomedical imaging Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Beilina, Larisa IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Type: published Y: 2007 Identifiers: – Type: isbn-print Value: 1424406714 – Type: isbn-print Value: 9781424406715 – Type: issn-print Value: 19457928 – Type: issn-locals Value: CTH_SWEPUB Titles: – TitleFull: 4th IEEE International Symposium on Biomedical Imaging: From Nano to Macro - Proceedings Type: main |
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