Tomographic Reconstructions and their Startling Applications

The aim of this workshop is to bring together experts from mathematics, physics, biology, and medicine in fields where tomographic reconstruction methods are applied.

Examples range

  • from analysing astronomical data recorded by huge telescopes, where only very limited angle information is available and refined adaptive optics techniques are used to remove distortions from the atmosphere,
  • over different variants of exploring wave phenomena in biological samples (such as computer tomography, sonography, optical coherence tomography, photoacoustic imaging, elastography, or magnetic resonance imaging to name just a few), where typically a full quantitative reconstruction of the analysed sample would be desirable,
  • down to microscopical scales studied by methods such as stochastic super-resolution microscopy, where localisations of blinking fluorescent molecules below the diffraction limit are realised by giving up on the unique identifiability of the different molecules, or cryogenic electron microscopy, where precise projection images are taken, but without knowing the orientation of the object.

With the interdisciplinary character of this workshop, we not only hope to picture the broad range from theory to experiment and applications, but also hope to see the advantages and disadvantages of the different approaches under a wide variety of aspects, which hopefully stimulates ideas on how to transfer and adapt well working methods to other settings.

Outline

The workshop will focus

  • in the first week (from Monday, March 15 until Thursday, March 18) on the mathematical problems such as
    • mathematical modelling of the experiments,
    • reconstructions from tomographic data,
    • scattering and inverse scattering problems, and
    • ill-posedness of the inversions and regularisation techniques;
  • in the second week (from Tuesday, March 23 until Thursday, March 25) on the experimental challenges in applications such as
    • adaptive optics,
    • elastography,
    • optical coherence tomography,
    • photoacoustic tomography, and
    • superresolution microscopy.

Organization

The workshop is organized within the special research programme SFB F68 “Tomography Across the Scales”.

Due to the current situation, the event will be held via video conference. The talks will be 30 minutes followed by 15 minutes of discussion.

Main organizer and contact person for the workshop: Peter Elbau, peter.elbau@univie.ac.at.

Registration

In case of interest in participating, please write an email to Peter Elbau, peter.elbau@univie.ac.at, containing name, affiliation and email address.

Acknowledgements

This workshop is hosted and supported by the Erwin Schrödinger International Institute for Mathematics and Physics, a programme-oriented research institute for mathematics and physics at the University of Vienna.

It is also partially supported by the Austrian Science Fund FWF within the special research programme SFB F68 “Tomography Across the Scales”.

March 15, 2021
14:00 — 14:15
Welcome
14:15 — 15:00
Kim Knudsen (Technical U Denmark, Kongens Lyngby)
Feasibility of Acousto-Electric Tomography
15:45 — 16:00
Break
16:00 — 16:45
16:45 — 17:30
17:30 — 19:00
Lunch / Dinner Break
19:25 — 19:45
19:45 — 20:30
Peter Kuchment

Deep Learning Networks for Detecting Presence of Low-Emission Radiation Sources

March 16, 2021
14:45 — 15:30
Roman Novikov (Ecole Polytechnique, Palaiseau)
Phaseless inverse scattering problem
15:30 — 15:45
Break
15:45 — 16:30
17:15 — 18:45
Lunch / Dinner Break
18:45 — 19:30
Günther Uhlmann

40 Years of Calderón's Problem

19:30 — 20:15
March 17, 2021
14:45 — 15:00
Break
15:00 — 16:00
Otmar Scherzer (joint with One World Seminar on Imaging and Inverse Problems)

Reconstructions in Coupled Physics Imaging

This talk is taking place at the imaging & inverse problems (IMAGINE) OneWorld seminar.
Please register at https://sites.google.com/view/oneworldimagine to get the corresponding individual Zoom link.

16:00 — 16:45
Thorsten Hohage (U Göttingen)
On phase contrast x-ray tomography
16:45 — 16:55
Break
18:00 — 19:15
Lunch / Dinner Break
March 18, 2021
13:00 — 13:45
13:45 — 14:30
14:30 — 14:45
Break
14:45 — 15:30
Tanja Tarvainen (U of Eastern Finland, Joensuu)
Bayesian approach to quantitative photoacoustic tomography
16:15 — 17:45
Lunch / Dinner Break
19:15 — 19:30
Break
20:15 — 21:00
March 23, 2021
10:45 — 11:30
Tobias Buck

Reconstructing galaxy properties from multi-band images

11:30 — 11:45
Break
11:45 — 12:30
Edward Lilley

Is photometric deprojection possible without symmetry assumptions?

12:30 — 14:00
Lunch Break
14:00 — 14:45
15:30 — 15:45
Break
16:30 — 17:15
Liliana Borcea (U of Michigan, Ann Arbor)
Reduced order model approach for inverse scattering
17:15 — 17:30
Break
17:30 — 18:15
Kui Ren

Inversion via Optimization: a Revisit to the Least-Squares Formulation

March 24, 2021
13:00 — 13:45
Brendan Kennedy

Optical coherence elastography: imaging mechanical properties on the micro-scale

13:45 — 14:30
14:30 — 14:45
Break
15:30 — 16:15
Manmohan Singh

Structural and Functional Imaging with Optical Coherence Tomography and Optical Coherence Elastography

16:15 — 16:30
Break
18:00 — 19:30
Lunch / Dinner Break
19:30 — 20:15
March 25, 2021
09:00 — 09:15
Introduction
10:00 — 10:45
Montserrat Lopez Martinez and Arjun Sharma

Setting up a Cryo - Single Molecule Localization Microscope

10:45 — 11:00
Break
11:00 — 11:45
Jörg Enderlein (U Göttingen)
Metal-Indced Energy Transfer Imaging
11:45 — 12:05
Fabian Hinterer

A robust method for bias-free localization of individual fixed dipole emitters achieving the Cramér Rao bound

12:05 — 12:25
Magdalena Schneider

A workflow for sizing oligomeric biomolecules based on cryo single molecule localization microscopy

12:25 — 13:30
Lunch Break
13:30 — 14:15
14:15 — 14:35
Lukas Velas

Applying 3D superresolution microscopy to T-cells

14:35 — 15:20
Francisco Balzarotti

Efficient use of emitted photons with MINFLUX

15:20 — 15:30
Break
15:30
Panel Discussion
  • Giovanni S. Alberti (U of Genoa)
  • Andrea Aspri (U Pavia)
  • Felix Bartel (TU Chemnitz)
  • Larisa Beilina (CUT, Gothenburg)
  • Stephanie Blanke (U Hamburg)
  • Alina Böcker (MPIA, Heidelberg)
  • Liliana Borcea (U of Michigan, Ann Arbor)
  • Tobias Buck (Leibniz Institute for Astrophysics Potsdam)
  • Lorenzo Busoni (Arcetri Astrophysical Obervatory)
  • Fioralba Cakoni (Rutgers U)
  • Maxence Cassier (Institut Fresnel)
  • Raymond Chan (City U of Hong Kong)
  • Bryn Davies (ETH Zürich)
  • Shiyu Deng (Med U Vienna)
  • Louis Detweiler (Oregon State U, Corvallis)
  • Tram Do (U Hamburg)
  • Peter Elbau (U Vienna) — Organizer
  • Jörg Enderlein (U Göttingen)
  • Simone Esposito (Arcetri Astrophysical Obervatory)
  • Jesus Falcon-Barroso (IAC, San Cristóbal de La Laguna)
  • Adel Faridani (Oregon State U, Corvallis)
  • Florian Faucher (U Vienna)
  • Alvaro Hacar (U Vienna)
  • Bernadette Hahn (U Stuttgart)
  • Pavol Harar (U Vienna)
  • Tapio Helin (LUT U, Lappeenranta)
  • Thorsten Hohage (U Göttingen)
  • Simon Hubmer (RICAM, Linz)
  • Victoria Hutterer (JKU, Linz)
  • José A. Iglesias (RICAM, Linz)
  • Kevin Islami (U Vienna)
  • Michael Jaeger (U Bern)
  • Alexander Jesacher (Med Uni Innsbruck)
  • Prashin Jethwa (U Vienna)
  • Mirza Karamehmedovic (Technical U Denmark, Kongens Lyngby)
  • Ahmad Karimi (TU Wien)
  • Alexander Katsevich (UCF, Orlando)
  • Rainer Kaufmann (CSSB, Hamburg)
  • Mengyuan Ke (Med U Vienna)
  • Brendan Kennedy (UWA, Perth)
  • Clemens Kirisits (U Vienna)
  • Kim Knudsen (Technical U Denmark, Kongens Lyngby)
  • Lisa Krainz (Med U Vienna)
  • Remo Kretschmann (LUT U, Lappeenranta)
  • Miska Le Louarn (ESO, Garching)
  • Edward Lilley (U Vienna)
  • Montserrat Lopez Martinez (TU Wien)
  • Mia Kvåle Løvmo (Med Uni Innsbruck)
  • Russell Luke (U Göttingen)
  • Peter Maaß (U Bremen)
  • Thomas Mach (U of Potsdam)
  • Marie Martig (LJMU, Liverpool)
  • Bochra Mejri (Laboratoire J.A. Dieudonné)
  • Gwenael Mercier (U Vienna)
  • Leonidas Mindrinos (U Vienna)
  • Roman Novikov (Ecole Polytechnique, Palaiseau)
  • Robert Nuster (U Graz)
  • David Omogbhe (RICAM, Linz)
  • Günther Paltauf (U Graz)
  • Fabian Parzer (U Vienna)
  • Sarah Patch (U of Wisconsin-Milwaukee)
  • Juha-Pekka Puska (Aalto U)
  • Michael Quellmalz (TU Berlin)
  • Todd Quinto (Tufts University)
  • Ronny Ramlau (RICAM, Linz) — Organizer
  • Aksel Rasmussen (Technical U Denmark, Kongens Lyngby)
  • Kui Ren (Columbia University, New York)
  • Monika Ritsch-Marte (Med Uni Innsbruck) — Organizer
  • Kamran Sadiq (RICAM, Linz)
  • David Sampson (U Surrey)
  • Otmar Scherzer (U Vienna) — Organizer
  • Hjørdis Amanda Schlüter (Technical U Denmark, Kongens Lyngby)
  • Magdalena Schneider (TU Wien)
  • John Schotland (Yale U, New Haven)
  • Thomas Schuster (U of Saarland)
  • Eric Setterqvist (RICAM, Linz)
  • Julia Shatokhina (RICAM, Linz)
  • Ekaterina Sherina (U Vienna)
  • Cong Shi (U Vienna)
  • Manmohan Singh (U of Houston)
  • Patrick Stähli (U Bern)
  • Gabriele Steidl (TU Berlin)
  • Leila Taghizadeh (TU Wien)
  • Tanja Tarvainen (U of Eastern Finland, Joensuu)
  • Gunther Uhlmann (U of Washington, Seattle)
  • Glenn van de Ven (U Vienna)
  • Leopold Veselka (U Vienna)
  • Lihong Wang (Caltech, Pasadena)
Preview of Phaseless inverse scattering problem
Roman Novikov (Ecole Polytechnique, Palaiseau): Phaseless inverse scattering problem
March 16, 2021 14:45 — 15:30
Preview of Geometric convergence in total variation regularization
José A. Iglesias (RICAM, Linz): Geometric convergence in total variation regularization
March 16, 2021 15:45 — 16:30
Preview of Spectral Problems in Inverse Scattering Theory
Fioralba Cakoni (Rutgers U): Spectral Problems in Inverse Scattering Theory
March 16, 2021 19:30 — 20:15
Preview of On phase contrast x-ray tomography
Thorsten Hohage (U Göttingen): On phase contrast x-ray tomography
March 17, 2021 16:00 — 16:45
Preview of Uniform and nonuniform sampling of bandlimited functions with faster convergence
Adel Faridani (Oregon State U, Corvallis): Uniform and nonuniform sampling of bandlimited functions with faster convergence
March 17, 2021 20:00 — 20:45
Preview of Bayesian optimal experimental design in X-ray tomography
Tapio Helin (LUT U, Lappeenranta): Bayesian optimal experimental design in X-ray tomography
March 18, 2021 13:45 — 14:30
Preview of Bayesian approach to quantitative photoacoustic tomography
Tanja Tarvainen (U of Eastern Finland, Joensuu): Bayesian approach to quantitative photoacoustic tomography
March 18, 2021 14:45 — 15:30
Preview of Rock mass properties by the stochastic homogenization method
Bochra Mejri (Laboratoire J.A. Dieudonné): Rock mass properties by the stochastic homogenization method
March 18, 2021 20:15 — 21:00
Preview of Reconstructing a galaxy's accretion history from integrated spectra
Alina Böcker (MPIA, Heidelberg): Reconstructing a galaxy's accretion history from integrated spectra
March 23, 2021 10:00 — 10:45
Preview of Adaptive Optics in astronomy: an introduction to tomography
Miska Le Louarn (ESO, Garching): Adaptive Optics in astronomy: an introduction to tomography
March 23, 2021 14:00 — 14:45
Preview of Reduced order model approach for inverse scattering
Liliana Borcea (U of Michigan, Ann Arbor): Reduced order model approach for inverse scattering
March 23, 2021 16:30 — 17:15
Preview of Photoacoustic Tomography and Compressed Ultrafast Photography
Lihong Wang (Caltech, Pasadena): Photoacoustic Tomography and Compressed Ultrafast Photography
March 24, 2021 19:30 — 20:15
Preview of Metal-Indced Energy Transfer Imaging
Jörg Enderlein (U Göttingen): Metal-Indced Energy Transfer Imaging
March 25, 2021 11:00 — 11:45
Preview of Localizing single molecules in 3D close to a dielectric interface
Alexander Jesacher (Med Uni Innsbruck): Localizing single molecules in 3D close to a dielectric interface
March 25, 2021 13:30 — 14:15
At a glance
Type:
Online Workshop
When:
March 15, 2021 — March 25, 2021
Where:
Erwin Schrödinger Institute - virtual
Organizer(s):
Wolfgang Drexler (Med U Vienna)
Peter Elbau (U Vienna)
Ronny Ramlau (RICAM, Linz)
Monika Ritsch-Marte (Med Uni Innsbruck)
Otmar Scherzer (U Vienna)
Gerhard Schütz (TU Vienna)