Details of Grant 

EPSRC Reference:	GR/R55757/01
Title:	Identifying structure from shape and image data
Principal Investigator:	Dryden, Professor IL
Other Investigators:	Wood, Professor A Le, Professor H
Researcher Co-Investigators:
Project Partners:	University of Nottingham
Department:	Sch of Mathematical Sciences
Organisation:	University of Nottingham
Scheme:	Standard Research (Pre-FEC)
Starts:	04 October 2001	Ends:	03 October 2004	Value (£):	157,196
EPSRC Research Topic Classifications:	Bioinformatics Statistics & Appl. Probability
EPSRC Industrial Sector Classifications:	Healthcare Pharmaceuticals and Biotechnology No relevance to Underpinning Sectors
Related Grants:
Panel History:
Summary on Grant Application Form
Shape and high-level image analysis is of great importance in a wide variety of disciplines. This project focuses on identifying structure in shape and image data, for example separating signals such as trends or regression curves from noise. Stochastic modelling and statistical methodology for shape analysis of dependent objects will be explored. The dependence may be spatial, temporal (or both) and suitable models need be investigated which account for the differential-geometric properties of the shape space. After removing a trend, diffusion processes will be used to model shape noise. In order to assess whether or not certain structures are present in the data, non-parametric inference such as bootstrap and empirical likelihood methods will be explored in detail. Finally methods for analysing continuous outlines and techniques for registering objects will be developed. The research methodology will be demonstrated on three applications involving three dimensional data: 1. DNA shape modelling, 2. brain surface modelling and inference, 3. the analysis of stroke infarct shapes in MR images. In the three applications there is a progression in the amount of structure - in application 1 identifiable landmarks are available at the atoms, in application 2 there are reasonably close but approximate correspondences between regions of the brain and application 3 the stroke regions are largely amorphous objects without any identifiable landmarks or features.
Key Findings
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Organisation Website:	http://www.nottingham.ac.uk