Rich and non-linear tomography in medical imaging, materials and non destructive testing

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Workshop theme

The history of mathematics of tomography goes back more than a century, with Radon's seminal contribution in 1917 predating the invention of the actual X-ray CT scanner for which Cormack and Hounsfield were awarded the Nobel Prize in Physiology and Medicine in 1979. Many modern medical imaging techniques still use X-rays, however alternatives utilising magnetic resonance, ultrasound, optics, conductivity, impedance, often in conjunction with injection of contrast, have been developed and became the method of choice in many clinical scenarios. On the other hand, tomography found applications in other contexts, e.g., non-destructive testing, security and process monitoring, where concerns of dose or irradiation are not at the forefront.

While classical transmission X-ray CT, MRI, photoacoustic imaging (PAT), PET or SPECT can be modelled by linear inverse problems, many techniques like diffuse optical tomography (DOT), electrical impedance tomography (EIT) or ultrasound tomography (USCT) result in nonlinear inverse problems. Increasingly, scientists consider multiple contrasts simultaneously, e.g., multi-energy X-ray CT, PET/MR, PET/CT, PAT/US, or are interested in evolution over time where risk/gain analysis requires reduction/elimination of radiation dose per each individual scan. The trend is clear to consider increasingly complicated contrast mechanisms with complex and computationally expensive forward models and possibly multimodal and limited data. On the other hand, the numerical methods available for the solution of the forward problems are often not well adapted for use in the inverse solver setting where accuracy is limited by ill-posedness and measurement noise, regularisers are included in the formulation and forward solvers are called repeatedly for similar problems. Moreover, in the age of big data, the synergies between inverse problems and machine learning offer exciting new insights.

In this workshop we gather experts in modelling and solution of various nonlinear and rich tomographic problems across the academia and industry with the goal to exchange ideas, cross-fertilise between modalities and identify and address common challenges.

Fees

Registration Only

Registration Package: £218
Student Registration Package: £168

The Registration Package includes admission to all seminars, lunches and refreshments on the days that lectures take place (Monday - Friday), wine reception and formal dinner, but does not include other meals or accommodation.

Virtual Registration

Virtual Registration Package: £0

Virtual registration is free, and includes virtual admission to all seminars and does not include physical attendance, meals or accommodation.

Formal Dinner Only

Formal Dinner: £60

Participants on the Registration Package, including organisers and speakers, are automatically included in this event. For all remaining participants who would like to attend, such as programme participants, the above charge will apply.

Accommodation

Unfortunately we do not have any accommodation to offer so all successful applicants will need to source their own accommodation.

Please see the Hotels Combined website for a list of local hotels and guesthouses.

Meals

Lunch Lunch timings and location will be confirmed with the timetable.

Evening Meal Participants are free to make their own arrangements for dinner.

Formal Dinner The Formal Dinner will be held at St. John's College on Wednesday 29th March at 19:30.

The event is a tradition for INI participants and gives you a chance to socialise with your colleagues on a more personal level. It is not one to miss!

Participants on the Registration Package, including organisers and speakers, are automatically included in this event.

Timetable

Monday 27th March 2023
11:00 to 11:30	Registration and coffee	No Room Required
11:30 to 11:40	Ciara Dangerfield Isaac Newton Institute Welcome	No Room Required
11:40 to 12:30	Misha Kilmer Tufts University Recycling MMGKS for Large Scale Dynamic and Streaming Data	Room 1
12:30 to 14:00	Lunch	No Room Required
14:00 to 14:50	James Nagy Emory University Numerical Methods for CT Reconstruction with Unknown Geometry Parameters	Room 1
14:50 to 15:40	Yiqiu Dong Technical University of Denmark Uncertainty Quantification of Inclusion Boundaries	Room 1
15:40 to 16:10	Afternoon Tea	No Room Required
16:10 to 17:00	Audrey Repetti Heriot-Watt University Uncertainty Quanti cation in CT pulmonary angiography	Room 1
17:00 to 18:00	Welcome Wine Reception at INI	No Room Required

Tuesday 28th March 2023
09:00 to 09:50	Jennifer Mueller Colorado State University Fast nonlinear EIT pulmonary imaging of pediatric patients	Room 1
09:50 to 10:40	Nuutti Hyvönen Aalto University Linearised inverse conductivity problem: reconstruction and Lipschitz stability for infinite-dimensional spaces of perturbations	Room 1
10:40 to 11:10	Morning coffee and group photo	No Room Required
11:10 to 11:40	Siiri Rautio University of Helsinki EIT reconstruction using virtual X-rays and machine learning	Room 1
11:40 to 12:30	Ville Kolehmainen University of Eastern Finland Monitoring of hemorrhagic stroke using Electrical Impedance Tomography (EIT)	Room 1
12:30 to 14:00	Lunch	No Room Required
14:00 to 14:50	Kim Knudsen Technical University of Denmark Feasibility of Acousto-Electric Tomography?	Room 1
14:50 to 15:40	Melody Alsaker Gonzaga University Machine Learned Priors for Nonsmooth Conductivities in D-bar Reconstructions of 2D EIT Data	Room 1
15:40 to 16:10	Afternoon Tea	No Room Required
16:10 to 17:00	Matteo Santacesaria Università degli Studi di Genova Continuous generative models for inverse problems	Room 1

Wednesday 29th March 2023
09:00 to 09:50	Xiaochuan Pan University of Chicago Reconstruction of tomographic images from limited-angular-range data	Room 1
09:50 to 10:40	Jakob Jørgensen Technical University of Denmark; University of Manchester CUQIpy - Computational Uncertainty Quantification for Inverse problems in Python	Room 1
10:40 to 11:10	Morning Coffee	No Room Required
11:10 to 11:40	Adriaan Graas Centrum voor Wiskunde en Informatica (CWI) TBA	Room 1
11:40 to 12:30	Mirjeta Pasha Tufts University Computational Advancements in Edge-Preserving Methods for Dynamic and Large-Scale Inverse Problems	Room 1
12:30 to 14:00	Lunch	No Room Required
14:00 to 14:50	Frederic Cegla Imperial College London Data acquisition on multi-channel ultrasound systems	Room 1
14:50 to 15:20	Salla Latva-Äijö University of Helsinki Dual-Energy X-Ray Tomography Method for Material decomposition	Room 1
15:20 to 15:40	Afternoon Tea	No Room Required
15:40 to 16:40	Samuli Siltanen University of Helsinki Science showmanship	Room 1
19:30 to 23:00	Formal dinner at St. John's College	No Room Required

Thursday 30th March 2023
09:00 to 09:50	Nebojsa Duric University of Rochester The story of ultrasound tomography: From mathematical concepts to clinical applications	Room 1
09:50 to 10:40	Felix Lucka Centrum voor Wiskunde en Informatica (CWI) Photoacoustic and Ultrasonic Tomography for Breast Imaging	Room 1
10:40 to 11:10	Morning Coffee	No Room Required
11:10 to 11:40	Matt Foster University College London Ray tracing approximations to the acoustic propagation in weakly nonlinear regime with applications in HIFU	Room 1
11:40 to 12:30	Plamen Stefanov Purdue University TBA	Room 1
12:30 to 14:00	Lunch	No Room Required
14:00 to 14:50	Barbara Kaltenbacher Alpen-Adria-Universität Klagenfurt Acoustic nonlinearity parameter tomography as an inverse coefficient problem for a nonlinear wave equation	Room 1
14:50 to 15:40	Andreas Rieder Karlsruhe Institute of Technology (KIT) On the Inverse Problem of Seismic Imaging: A Mathematical View on Full Waveform Inversion	Room 1
15:40 to 16:10	Afternoon Tea	No Room Required
16:10 to 17:00	Mark Anastasio University of Illinois Recent advances in image reconstruction for ultrasound computed tomography	Room 1

Friday 31st March 2023
09:00 to 09:50	Matias Courdurier Pontificia Universidad Católica de Chile Mathematical model and stability analysis for an inverse problem in light sheet fluorescence microscopy	Room 1
09:50 to 10:40	Thomas Blumensath University of Southampton Machine learning tools for large tomographic inverse problems with limited training data	Room 1
10:40 to 11:10	Morning Coffee	No Room Required
11:10 to 11:40	Oliver Townsend University of Bath; Diamond Light Source Undersampling Raster Scans in Spectromicroscopy for reduced dose and faster measurements	Room 1
11:40 to 12:30	Simon Arridge University College London Fully Stochastic Reconstruction Methods in Coupled Physics Imaging	Room 1
12:30 to 14:00	Lunch	No Room Required

Rich and Nonlinear Tomography - a multidisciplinary approach

Organisers

Marta Betcke University College London
Silvia Gazzola University of Bath
Samuli Siltanen University of Helsinki

Speakers

Melody Alsaker Gonzaga University
Mark Anastasio University of Illinois
Simon Arridge University College London
Thomas Blumensath University of Southampton
Frederic Cegla Imperial College London
Matias Courdurier Pontificia Universidad Católica de Chile
Yiqiu Dong Technical University of Denmark
Nebojsa Duric University of Rochester
Matt Foster University College London
Adriaan Graas Centrum voor Wiskunde en Informatica (CWI)
Nuutti Hyvönen Aalto University
Jakob Jørgensen Technical University of Denmark; University of Manchester
Barbara Kaltenbacher Alpen-Adria-Universität Klagenfurt
Misha Kilmer Tufts University
Kim Knudsen Technical University of Denmark
Ville Kolehmainen University of Eastern Finland
Salla Latva-Äijö University of Helsinki
Felix Lucka Centrum voor Wiskunde en Informatica (CWI)
Jennifer Mueller Colorado State University
James Nagy Emory University
Xiaochuan Pan University of Chicago
Mirjeta Pasha Tufts University
Siiri Rautio University of Helsinki
Audrey Repetti Heriot-Watt University
Andreas Rieder Karlsruhe Institute of Technology (KIT)
Matteo Santacesaria Università degli Studi di Genova
Samuli Siltanen University of Helsinki
Plamen Stefanov Purdue University
Oliver Townsend University of Bath; Diamond Light Source

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Participants

Melody Alsaker Gonzaga University
Mark Anastasio University of Illinois
Daniel Andre Cranfield University
Simon Arridge University College London
Marta Betcke University College London
Ander Biguri University of Cambridge
Thomas Blumensath University of Southampton
Tatiana Alessandra Bubba University of Bath
Frederic Cegla Imperial College London
Margaret Cheney Colorado State University
Julianne Chung Emory University
Matias Courdurier Pontificia Universidad Católica de Chile
Ben Cox University College London
Yiqiu Dong Technical University of Denmark
Nebojsa Duric University of Rochester
Matt Foster University College London
Silvia Gazzola University of Bath
Pravinkumar Ghodake Indian Institute of Technology
Sarah Hamilton Marquette University
Clemens Hansemann Technische Universität Darmstadt
Bastian Harrach Goethe-Universität Frankfurt
Andreas Hauptmann University of Oulu; University College London
Sean Holman University of Manchester
Victoria Hutterer Johannes Kepler Universität
Nuutti Hyvönen Aalto University
Jakob Jørgensen Technical University of Denmark; University of Manchester
Barbara Kaltenbacher Alpen-Adria-Universität Klagenfurt
Misha Kilmer Tufts University
Kim Knudsen Technical University of Denmark
Ville Kolehmainen University of Eastern Finland
Venky Krishnan Tata Institute of Fundamental Research
Salla Latva-Äijö University of Helsinki
Paul Ledger Keele University
Tobias Liaudat None / Other
Bill Lionheart University of Manchester
Felix Lucka Centrum voor Wiskunde en Informatica (CWI)
Elliott Macneil University College London
Ruma Maity Aalto University
Marco Marletta Cardiff University
Emilio Mcallister fognini University College London
Jennifer Mueller Colorado State University
James Nagy Emory University
Victoria Nockles The Alan Turing Institute; Defence Science and Technology Laboratory
Xiaochuan Pan University of Chicago
Vaggelis Papoutsellis UKRI
Mirjeta Pasha Tufts University
Gabriel Paternain University of Cambridge
Nick Polydorides University of Edinburgh
Jesse Railo University of Cambridge
Siiri Rautio University of Helsinki
Audrey Repetti Heriot-Watt University
Andreas Rieder Karlsruhe Institute of Technology (KIT)
Malena Sabaté Landman Emory University
Matteo Santacesaria Università degli Studi di Genova
Søren Schmidt None / Other
Carola-Bibiane Schönlieb University of Cambridge; Cambridge Mathematics of Information in Healthcare
Samuli Siltanen University of Helsinki
Plamen Stefanov Purdue University
Tanja Tarvainen University of Eastern Finland
Oliver Townsend University of Bath; Diamond Light Source
Francis Watson University of Manchester
Chris Wensrich University of Newcastle, Australia
Haiyan Yu Chongqing University