LMS Inverse Day on Hybrid and multi-modal imaging, 4th of July, Manchester

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 hybrid imaging approaches as well as inverse problems that work with data that originates from multiple modalities.



Friday, 4th of July 2014


Zochonis Building_B25
School of Mathematics
The University of Manchester
M13 9PL


Sean Holman (University of Manchester), 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:

- Giovanni Alberti (Mathematics, University of Oxford)

- Marta Betcke (Computer Science, UCL)
- Oliver Dorn (Mathematics, University of Manchester)

- Andy Hooper (Earth Sciences, University of Leeds)

  1. -Manuchehr Soleimani (Electrical Engineering, University of Bath)

  2. -Harry Tsoumpas (Medical Physics, University of Leeds)


Registration for this event is free of charge but for planning issues please write an email to Sean Holman sean.holman@manchester.ac.uk , including your name, affiliation and (if applicable) an expression of interest for presenting a poster at the meeting.


10:30-11:00 Arrive

11:00-11:40 Oliver Dorn (Mathematics, University of Manchester) - Level set techniques for seismic full waveform inversion.

11:40 - 12:20 Andy Hooper (Earth Science, University of Leeds) - Remote sensing of Earth deformation and hybrid imaging.

12:20-13:20 Lunch & Poster Competition

13:20-14:00 Marta Betcke (Mathematics, UCL) - Compressed sensing for high resolution 3D Photoacoustic Tomography using data sparsity.

14:00-14:40 Giovanni Alberti (Mathematics, University of Oxford) - Using multiple frequencies to enforce non-zero constraints in PDE and applications to hybrid imaging problems.

14:40-15:10 Coffee break

15:10-15:50 Harry Tsoumpas (Medical Physics, University of Leeds) - How mathematical, physical and physiological modelling can improve the resolution of Positron Emission Tomography?

15:50-16:30 Manuch Soleimani (Electrical Engineering, University of Bath) - Hybrid inversion for  combined soft field and hard field tomography.

Acknowledgements: This event is funded by the London Mathematical Society and the University of Manchester School of Mathematics EPSRC Platform Grant