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:
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Kim Knudsen (Technical University of Denmark)
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Cong Shi (Georg-August-Universität Göttingen)
- Keywords:
- hybrid data tomography, inverse problems, partial differential equation models