LMS Inverse Day on Tomographic reconstructions from boundary data, 22nd of September 2014, University of Leeds

In 1976 Keller formulated the following very general definition of inverse problems, which is often cited in the literature:

"We call two problems inverses of one another if the formulation of each involves all or part of the solution of the other. Often, for historical reasons, one of the two problems has been studied extensively for some time, while the other is newer and not so well understood. In such cases, the former problem is called the direct problem, while the latter is called the inverse problem."

Inverse problems appear in many situations in physics, engineering, biology and medicine. The main mathematical problem is the well (ill) – posedness of the inversion process. Indeed, in practice most inverse problems are ill-posed in terms of non-uniqueness or lack of stability of the inversion.

This one-day meeting is the third LMS meeting on inverse problems (in a series of four in 2014) that brings together UK researchers who work on advancing the field of inverse problems, both from a theoretical and from an applied point of view.

The meeting will concentrate on the problem of tomographic reconstruction from boundary data.



Monday, 22nd of September 2014


E.C. Stoner Building

Mall room 9.301 of the Physics Research Deck

University of Leeds

Leeds LS2 9JT



Daniel Lesnic (University of Leeds), Carola-Bibiane Schönlieb (University of Cambridge), Manuchehr Soleimani (University of Bath)

Student Poster Prize

We invite students and other early career researchers to present a poster about their research at the meeting. Please indicate your interest in presenting a poster when registering (see below).

A prize of £100 will be awarded to the best student poster to support travel and accommodation costs.


Invited speakers will include:

  1. -Thanasis Fokas (University of Cambridge)

  2. -Andreas Hauptmann (Helsinki University, Finland)

  3. -Tomas Johansson (Linkoping University, Sweden and Aston  University, Birmingham)

  4. -Brian Sleeman (Universities of Leeds and Dundee)

  5. -Kent Wei (Industrial Tomography Systems plc.)


Registration for this event is free of charge but for planning issues please write an email toDaniel Lesnic at: D.Lesnic@leeds.ac.uk, including your name, affiliation and (if applicable) an expression of interest for presenting a poster at the meeting.


10.00 - 10.30 Coffee and Introduction

10.30 - 11.30 Andreas Hauptmann (Helsinki University, Finland) - "An enhanced D-bar method for EIT"

11.30 - 12.30 Brian Sleeman (Universities of Leeds and Dundee) - "Transparency, transmission

and cloaking in a layered medium"

12.30 - 13.30 Lunch and Posters

13.30 - 14.30 Thanasis Fokas (University of Cambridge) - “Analytical reconstructions in PET-SPECT and MEG-EEG”

14.30 - 15.00 Coffee Break

15.00 - 16.00 Tomas Johansson (Linkoping University, Sweden and Aston  University, Birmingham) - "Reconstructing multiple obstacles in inverse  acoustic scattering via topological derivatives"

16.00 - 17.00 Kent Wei (Industrial Tomography Systems plc.) - "Electrical tomography:

Applied inverse problem using industrial tomography systems"

Acknowledgements: This event is funded by the London Mathematical Society

Financial support

If you are an UK-based early career researcher and are seeking for financial support for attending this inverse day please also contact us (cbs31@cam.ac.uk) - we might be able to help you.