Aligning and matching configurations of points Seminar
- Time:
- 14:45
- Date:
- 27 April 2006
- Venue:
- Building 54 (Maths) Room 4A
For more information regarding this seminar, please email Mrs Jane Revell at j.revell@southampton.ac.uk .
Event details
Special seminar
An important problem in shape analysis is to match configurations of points in space filtering out some geometrical transformation. In this paper we introduce hierarchical models for such tasks, in which the points in the configurations are either unlabelled, or have at most a partial labellings constraining the matching, and in which some points may only appear in one of the configurations. We derive procedures for simultaneous inference about the matching and the transformation. Our model is based on a Poisson process for hidden true point locations; this leads to considerable mathematical simplification and efficiency of implementation. We find a novel use for classic distributions from directional statistics in a conditionally conjugate specification for the case where the geometrical transformation includes an unknown rotation. Our methods are illustrated by two applications from bioinformatics.
Speaker information
Professor Peter Green , University of Bristol. Peter Green has been Professor of Statistics at the University of Bristol since 1989, following earlier academic posts at Bath, Durham and Wisconsin. His research interests and expertise are in Bayesian inference in complex stochastic systems, Markov chain Monte Carlo methodology; statistical genomics, especially gene expression analysis, and spatial statistics and image analysis, with medical applications. This research includes both contributions to the methodology of the discipline, and tailored application of statistical ideas to problems in fields of application ranging from agricultural science and astronomy, through medical imaging to microarray data analysis. Past work has been recognised through the award by the Royal Statistical Society of its Guy medals in Bronze (1984) and Silver (1999), with Fellowship of the Institute of Mathematical Statistics (1991) and by election as a Fellow of the Royal Society in 2003. He has held a number of roles within the statistics community, including chairmanship of an ESF Network (1992-95), and of the Committee of Professors of Statistics (1995-98) and as President of the Royal Statistical Society (2001-03).