M3. Tomographic Inverse Problems
Tomography has revolutionized diagnostic medicine, nondestructive evaluation and materials science. By nature, tomography is an inverse problem—recovering information about the structure or properties of an object using indirect data. Modern modalities include novel methods in X-ray CT, hybrid imaging, multi-modal imaging, multi-energy CT, ultrasound, Compton CT, and time-dependent problems. Each modality generates novel mathematics and new algorithms, many of which will be presented in this minisymposium. We will bring together young and established researchers from the inverse problems community to present their recent work and to foster discussion among participants.
Organizers:
Anuj Abhishek, University of North Carolina, Charlotte, USA, This email address is being protected from spambots. You need JavaScript enabled to view it.
Jan Boman, Stockholm University, Sweden, This email address is being protected from spambots. You need JavaScript enabled to view it.
Venkateswaran P. Krishnan, Tata Institute for Fundamental Research, India, This email address is being protected from spambots. You need JavaScript enabled to view it.
Eric Todd Quinto, Tufts University, USA, This email address is being protected from spambots. You need JavaScript enabled to view it.
Invited Speakers :
Fulton Gonzalez, Tufts University, USA, This email address is being protected from spambots. You need JavaScript enabled to view it.
Invertible Distributions, Mean Value Operators, and Symmetric Spaces
Khalil Hall-Hooper, NC State University, USA, This email address is being protected from spambots. You need JavaScript enabled to view it.
Estimating Hyperparameters in Hierarchical Bayesian Linear Inverse Problems
Ivan Kazantsev, Institute of Computational Mathematics and Mathematical Geophysics, Russia, This email address is being protected from spambots. You need JavaScript enabled to view it.
Algorithms for Compton Scatter Imaging in Positron Emission Tomography
Leonid Kunyansky, University of Arizona, USA, This email address is being protected from spambots. You need JavaScript enabled to view it.
Sparsity-based techniques for hybrid imaging modalities with missing low frequencies
Eric Todd Quinto, Tufts University, USA, This email address is being protected from spambots. You need JavaScript enabled to view it.
Novel Inverse Problems in Compton Tomography
Grigory Sabinin, Lomonosov Moscow State University, Russia, This email address is being protected from spambots. You need JavaScript enabled to view it.
Numerical reconstruction from Fourier Transform on the ball via prolate spheroidal wave functions
Souvik Roy, University of Texas at Arlington, USA, This email address is being protected from spambots. You need JavaScript enabled to view it.
Reconstruction of sparse log-conductivity in current density impedance imaging
Suman Sahoo, TIFR Centre for Applicable Mathematics, India, This email address is being protected from spambots. You need JavaScript enabled to view it.
Symmetry from sectional integrals for convex domains
Andrei Shurup, Lomonosov Moscow State University, Russia, This email address is being protected from spambots. You need JavaScript enabled to view it.
Functional-analytical methods in acoustic inverse problems