M21. Imaging Modalities: Recent Advances and Beyond

The past century has witnessed accelerated development in imaging techniques for medical, biological, industrial and geophysical applications using a wide range of physical modalities. Examples include microscopy, ultrasound, X-ray transmission, positron emission, magnetic resonance, electrical impedance, photoacoustic effect, microwave radiation, atmospheric muons, and seismic waves. The realm of imaging modalities is constantly expanding. Because of their non-intrusive nature, each image reconstruction technique requires finding the solution of an ill-posed mathematical inverse problem to recover the physical properties of a medium using only external measurements. However, each modality and application considered still provides different challenges from both the theoretical and computational point of views. This mini-symposium is aiming to highlight some of the most recent, promising and exciting scientific developments to overcome them.

Organizer:
Cristiana Sebu, University of Malta, Malta, This email address is being protected from spambots. You need JavaScript enabled to view it.

Invited Speakers (in alphabetical order):
Hannes Albers, University of Bremen, Germany, This email address is being protected from spambots. You need JavaScript enabled to view it. 
The calibration problem in magnetic particle imaging: Time-dependent parameter identification in nanoparticles' magnetization dynamics

Melody Alsaker, Gonzaga University, USA, This email address is being protected from spambots. You need JavaScript enabled to view it.
Ultrasound Data as a Prior in Thoracic Imaging with Electrical Impedance Tomography

Stephan Antholzer, University of Innsbruck, Austria, This email address is being protected from spambots. You need JavaScript enabled to view it.
Learned regularizers for compressed sensing photoacoustic tomography

Tatiana Bubba, University of Helsinki, Finland, This email address is being protected from spambots. You need JavaScript enabled to view it.
Simultaneous reconstruction of emission and attenuation in passive gamma emission tomography of spent nuclear fuel

Sabrina Guastavino, University of Genoa, Italy, This email address is being protected from spambots. You need JavaScript enabled to view it.
An adaptive sparsity-enhancing method for restoring solar images affected by diffraction and saturation effects with application to SDO/AIA images

Dominik Thilo Kahl, University of Applied Sciences Koblenz, Germany, This email address is being protected from spambots. You need JavaScript enabled to view it. 
Localising and estimating unknowniInputs and model errors in complex dynamic systems


Tobias Kluth, University of Bremen, Germany, This email address is being protected from spambots. You need JavaScript enabled to view it.
Deep Image Prior reconstruction for 3D Magnetic Particle Imagings

Irina V. Melnikova, Ural State University, Russia, This email address is being protected from spambots. You need JavaScript enabled to view it.
Direct and inverse problems for stochastic processes

Volker Michel, University of Siegen, Germany This email address is being protected from spambots. You need JavaScript enabled to view it.
Geophysical and medical imaging: what they can learn from each other

Victor P. Palamodov, Tel Aviv University, Israel, This email address is being protected from spambots. You need JavaScript enabled to view it.
A method for electrical property tomography based on an explicit formula

Daniela Schiefeneder, University of Innsbruck, Austria, This email address is being protected from spambots. You need JavaScript enabled to view it.
On ill-posedness of Volterra integral equations

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