English
Modelling of errors in photoacoustic tomography
Post-edited
Auteurs : Tarvainen, Tanja (Auteur de la Conférence)
CIRM (Editeur )
35Q60 - PDEs in connection with optics and electromagnetic theory
35R30 - Inverse problems for PDE
65C20 - Models (numerical methods)
65R32 - Inverse problems (integral equations, numerical methods)
92C55 - Biomedical imaging and signal processing, tomography
CIRM (Editeur )
Résumé :
We consider photoacoustic tomography in the presence of approximation and modelling errors. The inverse problem, i.e. estimation of the initial pressure from photoacoustic time-series measured on the boundary of the target, is approached in the framework of Bayesian inverse problems. The posterior distribution is examined in situations in which the forward model contains errors or uncertainties for example due to numerical approximations or uncertainties in the acoustic parameters. Modelling of these errors and its impact on the posterior distribution are investigated.
This is joint work with Teemu Sahlstrm, Jenni Tick and Aki Pulkkinen.
Keywords : photoacoustic tomography; inverse problem; approximation error; numerical simulation; Bayesian methods; image reconstruction techniques
Codes MSC : This is joint work with Teemu Sahlstrm, Jenni Tick and Aki Pulkkinen.
Keywords : photoacoustic tomography; inverse problem; approximation error; numerical simulation; Bayesian methods; image reconstruction techniques
35Q60 - PDEs in connection with optics and electromagnetic theory
35R30 - Inverse problems for PDE
65C20 - Models (numerical methods)
65R32 - Inverse problems (integral equations, numerical methods)
92C55 - Biomedical imaging and signal processing, tomography
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Informations sur la Vidéo
Réalisateur : Recanzone, LucaLangue : Anglais Date de publication : 18/04/2019 Date de captation : 01/04/2019 Sous collection : Research talks arXiv category : Numerical Analysis Domaine : PDE ; Numerical Analysis & Scientific Computing Format : MP4 (.mp4) - HD Durée : 00:49:43 Audience : Researchers Download : https://videos.cirm-math.fr/2019-04-01_tarvainen.mp4 
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Informations sur la Rencontre
Nom de la rencontre : Mathematical and numerical approaches for multi-wave inverse problems / Approches mathématiques et numériques pour les problèmes inverses de type multi-ondesOrganisateurs de la rencontre : Beilina, Larisa ; Bergounioux, Maïtine ; Cristofol, Michel ; Da Silva, Anabela ; Litman, Amélie Dates : 01/04/2019 - 05/04/2019 Année de la rencontre : 2019 URL Congrès : https://conferences.cirm-math.fr/1953.html
Données de citation
DOI : 10.24350/CIRM.V.19509303Citer cette vidéo: Tarvainen, Tanja (2019). Modelling of errors in photoacoustic tomography. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19509303 URI : http://dx.doi.org/10.24350/CIRM.V.19509303 |
Voir aussi
- [Multi angle] Multiwave phenomenon in imaging and particle therapy / Auteur de la Conférence Patch, Sarah.
Bibliographie
