Multi-Mathematics for Imaging and Optimal Design Under Uncertainty

Objective

The aim of this interdisciplinary project is to develop new mathematical and statistical tools, probabilistic approaches, and inversion and optimal design methods to address emerging modalities in medical imaging, nondestructive testing, and environmental inverse problems. It merges the complementary expertise of the investigators in order to make a breakthrough in the field of
mathematical imaging and optimal design by solving the most challenging problems posed by new imaging modalities. The PI and Co-PI are leading experts in their respective fields (applied
analysis and probability) and their researches have very strong interdisciplinary nature.

The goal of this project is to synergize asymptotic imaging, stochastic modelling, and analysis of both deterministic and stochastic wave propagation phenomena. We want to throw a bridge across the deterministic and stochastic aspects and tools of mathematical imaging. This requires a deep understanding of the different scales in the physical problem, an accurate modelling of the noise sources, and fine mathematical analysis of complex phenomena. The emphasis of this project will be put on deriving for each of the challenging imaging problems that we will consider, the best possible imaging functionals in the sense of stability and resolution. For optimal design problems, we
will evaluate the effect of uncertainties on the geometrical or physical parameters and design accurate optimal design methodologies.

In this project, we will build an exceptional interdisciplinary research and an innovative approach to training in applied mathematics. We will train a new generation of applied mathematicians who will master both the probabilistic and analytical tools to best meet the challenges of emerging technologies.

Field of science

• /natural sciences/mathematics/pure mathematics/mathematical analysis
• /medical and health sciences/clinical medicine/radiology/medical imaging

Programme(s)

• FP7-IDEAS-ERC - Specific programme: "Ideas" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013)

Topic(s)

• ERC-AG-PE1 - ERC Advanced Grant - Mathematical foundations

Call for proposal

ERC-2010-AdG_20100224
See other projects for this call

Funding Scheme

Host institution

Beneficiaries (1)