MS 17: Inverse problems for Radiative Transfer Equation and Broken Ray Approximation
Fri, 31 March, 2017, 13:30–15:30, Room: SP2 416
Organizers
Linh Nguyen and Markus Haltmeier
Abstract
The radiative transfer equation and the broken ray Radon transform are mathematical models for
photon transport. The broken ray transform may arise from an approximation of the radiative
transfer equation in low scattering regime. Like the X-ray (Radon) transform, these two areas are rich
sources of inverse problems and the foundation of several important imaging methods. The radiative
transfer equation has been intensively studied in optical tomography and, more recently, quantitative
photoacoustic tomography. The broken ray transform arises in single-scattering optical tomography,
emission tomography using Compton cameras, and Compton scattering tomography. It also appears
in partial data Calderon problem. Several inverse problems arise in these topics and their solutions
are both related and diverse.
This mini-symposium will gather several interesting talks across all aforementioned applications.
We hope that it will provide a panoramic view in the related topics and inspires more discoveries on
their connections.
List of speakers
Herbert Egger A scatter correction algorithm for computerized tomography in semi-transparent media |
Jonas Ilmavirta Pestov identities for generalized X-ray transforms |
Vadim Markel Broken-ray transform and its generalizations |
Francois Monard Attenuated tensor tomography applied to the source reconstruction problem in transport |
Mai K. Nguyen V-line and Cone Radon transforms: overview and application to cultural heritage object imaging |
Lukas Neumann Quantitative Photoacoustic Tomography in the Transport Regime |