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H 3 ​Modelling of errors in photoacoustic tomography

Auteurs : Tarvainen, Tanja (Auteur de la Conférence)
CIRM (Editeur )

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photoacoustic tomography principle optical and acoustic forward models Bayesian PAT inverse problem 2D numerical imaging results 3D numerical imaging results PAT reconstruction from experimental data model error influence

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 :
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

    Informations sur la Vidéo

    Langue : Anglais
    Date de publication : 18/04/2019
    Date de captation : 01/04/2019
    Collection : Research talks
    Format : MP4 (.mp4) - HD
    Durée : 00:49:43
    Domaine : PDE ; Numerical Analysis & Scientific Computing
    Audience : Chercheurs ; Doctorants , Post - Doctorants
    Download : https://videos.cirm-math.fr/2019-04-01_tarvainen.mp4

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-ondes
Organisateurs 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

Citation Data

DOI : 10.24350/CIRM.V.19509303
Cite 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

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