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Modelling of errors in photoacoustic tomography
Post-edited
Authors : Tarvainen, Tanja (Author of the conference)
CIRM (Publisher )
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 (Publisher )
Abstract :
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
MSC Codes : 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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Information on the Video
Film maker : Recanzone, LucaLanguage : English Available date : 18/04/2019 Conference Date : 01/04/2019 Subseries : Research talks arXiv category : Numerical Analysis Mathematical Area(s) : PDE ; Numerical Analysis & Scientific Computing Format : MP4 (.mp4) - HD Video Time : 00:49:43 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2019-04-01_tarvainen.mp4 
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Information on the Event
Event Title : Mathematical and numerical approaches for multi-wave inverse problems / Approches mathématiques et numériques pour les problèmes inverses de type multi-ondesEvent Organizers : Beilina, Larisa ; Bergounioux, Maïtine ; Cristofol, Michel ; Da Silva, Anabela ; Litman, Amélie Dates : 01/04/2019 - 05/04/2019 Event Year : 2019 Event URL : https://conferences.cirm-math.fr/1953.html
Citation Data
DOI : 10.24350/CIRM.V.19509303Cite this video as: 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 |
See Also
- [Multi angle] Multiwave phenomenon in imaging and particle therapy / Author of the conference Patch, Sarah.
Bibliography
