The reconstruction problems in optical and electrical tomography, such as Optical Diffusion Tomography and Electrical Impedance Tomography, are known to be severely ill-posed. In recent years several modalities have been introduced that circumvents the ill-posedness by introducing another physical modality. This leads to systems of coupled partial differential equations. By using the coupled-physics approach, reconstructions can then be computed with fine resolution and high contrast. To retrieve accurate information from the coupled data one solves the so-called quantitative reconstruction problem. In this mini-symposium we bring together experts working on different quantitative reconstruction problems with hybrid data and discuss future directions.

Some results on convergence rates for the density matrix reconstruction

Cong Shi (Georg-August-Universität Göttingen)

Acousto-electric tomography based on complete electrode model for isotropic and anisotropic tissues

Changyou Li (Northwestern Plytechnical University)

Dynamical super-resolution with applications to ultrafast ultrasound

Francisco Romero (ETH Zurich)

Lamé Parameters Estimation from Static Displacement Field Measurements in the Framework of Nonlinear Inverse Problems

Ekaterina Sherina (Technical University of Denmark)

Why does stochastic gradient descent work for inverse problems ?

Bangti Jin (University College London)

Non-zero constraints in quantitative coupled physics imaging

Giovanni S. Alberti (University of Genoa )

Quantitative reconstructions by combining photoacoustic and optical coherence tomography

Peter Elbau (University of Vienna)

Spectral properties of the forward operator in photo-acoustic tomography

Mirza Karamehmedović (Technical University of Denmark)

Organizers:

Kim Knudsen (Technical University of Denmark)

Cong Shi (Georg-August-Universität Göttingen)

Keywords:

hybrid data tomography, inverse problems, partial differential equation models