M14. Mathematical Methods in Tomography Across the Scales

Tomographic imaging continues to attract a lot of interest from the inverse problems community because of the increasing need of new mathematical models describing better the experiments and of efficient and sophisticated computational algorithms handling big data. In Austria, five Universities and one institute are collaborating in this direction under the Special Research Project “Tomography across the scales” founded by the Austrian Science Fund (FWF).

In this mini-symposium we bring together researchers, members of the project and external collaborators, working on imaging problems from the nanoscale of single molecule imaging to microscale of multi-modal imaging. We cover topics such as adaptive optics, quantitative reconstructions, image processing, and integral transforms.

Organizers:
Peter Elbau, University of Vienna, Austria, This email address is being protected from spambots. You need JavaScript enabled to view it.
Leonidas Mindrinos, University of Vienna, Austria, This email address is being protected from spambots. You need JavaScript enabled to view it.

Invited Speakers:
Andrea Aspri, Johann Radon Institute for Computational and Applied Mathematics, Austria, This email address is being protected from spambots. You need JavaScript enabled to view it.       
Data driven regularization

Florian Faucher, University of Vienna, Austria,  This email address is being protected from spambots. You need JavaScript enabled to view it.                                                 
Quantitative seismic imaging using reciprocity-based methods enabling arbitrary probing sources

Leon  Frischauf, University of Vienna, Austria, This email address is being protected from spambots. You need JavaScript enabled to view it.                                                     
Seidman's non-convergence example on regularization by projection

Simon Hubmer, Johann Radon Institute for Computational and Applied Mathematics, Austria,  This email address is being protected from spambots. You need JavaScript enabled to view it.      
A frame decomposition of the atmospheric tomography operator

Kamran Sadiq, Johann Radon Institute for Computational and Applied Mathematics, Austria, This email address is being protected from spambots. You need JavaScript enabled to view it. 
A Fourier approach to the  inverse source problem in an absorbing and scattering medium  with applications to Optical Molecular Imaging 

Ekaterina Sherina, University of Vienna, Austria, This email address is being protected from spambots. You need JavaScript enabled to view it.                           
Displacement field estimation utilizing speckle information for parameter recovery in quantitative elastography

Leopold Veselka, University of Vienna, Austria, This email address is being protected from spambots. You need JavaScript enabled to view it.        
Quantitative OCT reconstructions for dispersive media

 

PLENARY SPEAKERS

Prof. Dr. Liliana Borcea

University of Michigan, USA
http://www-personal.umich.edu/~borcea/

Inverse scattering in random media, Electro-magnetic inverse problems, Effective properties of composite materials, transport in high contrast, heterogeneous media

Prof. Dr. Bernd Hofmann

Chemnitz University of Technology, Germany
https://www.tu-chemnitz.de/mathematik/inverse_probleme/hofmann/?en=1

Regularization of inverse and ill-posed problems

Prof. Dr. John C Schotland

Yale University, USA
https://gauss.math.yale.edu/~js4228/

Inverse problems with applications to imaging, Scattering theory, Waves in random media, Nano-scale optics, Coherence theory and quantum optics

Prof. Dr. Erkki Somersalo

Case Western Reserve University, USA
https://mathstats.case.edu/faculty/erkki-somersalo/

Computational and statistical inverse problems, Probabilistic methods for uncertainty quantification, Modeling of complex systems, Biomedical applications

Prof. Dr. Gunther Uhlmann

University of Washington, USA
https://sites.math.washington.edu/~gunther/

Inverse problems and imaging, Partial differential equations, Microlocal analysis, Scattering theory

Prof. Dr. Jun Zou

The Chinese University of Hong Kong, Hong Kong SAR
https://www.math.cuhk.edu.hk/~zou/

Numerical solutions of electromagnetic Maxwell systems and interface problems, inverse and ill-posed problems, preconditioned and domain decomposition methods