By "reconstructive imaging" we mean methods of making two, or three, dimensional images of the inside of objects from measurements taken on the outside. Common examples include the scanners (x-ray, MRI and ultrasound) familiar in hospitals. In such systems an image is not formed directly as in a camera but is calculated by a computer from the data the machine measures, and this involves solving what in mathematics is called an "inverse problem" - working backwards from the data to the image. The mathematics and the computer science behind solving inverse problems are complex and challenging.

The same mathematical problems that arise in medical imaging arise in geophysical imaging, used for example in searching for oil or an archaeological survey, in studying the behaviour of new materials, for example to make aircraft turbine blades, in the detection of landmines and unexploded bombs, and in monitoring flows, mixtures and flames in industrial processes.

In this project we will bring together scientists, mathematicians and engineers who work on a wide range of reconstructive imaging problems, so that the insights gained from one problem can be applied to another and better ways to solve these problems will emerge from working together on aspects the problems have in common.

Potential Impact:
Patients, especially those suffering from cancer and diseases of ageing and those in intensive care on ventilator machines, will benefit from improved medical imaging techniques that will give better diagnosis and treatment.

Current world population will benefit from improved drought tolerant crops increasing the food supply and from more efficient and cleaner extraction of fossil fuels will benefit. The current and future population will benefit from improved pollution monitoring and carbon sequestration.

Consumers will benefit from improved (stronger, lighter, cheaper, lower energy cost) materials.
UK citizens will benefit from an increase in jobs and productivity of the economy as a result of growth in technologically based companies exploiting developments in imaging.