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Prof J T Kent
Applications accepted all year round
Competition Funded PhD Project (European/UK Students Only)
About the Project
Shape analysis deals with the information in a configuration of k points in m dimensions that is invariant under a certain group of transformations. The most developed version is similarity shape analysis which deals with properties invariant under translation, scaling and rotation. Another version is projective shape analysis which deals with information invariant under different camera views of a scene. Building on a recent standardized representation for a projective shape, this project will develop new statistical methods to analyze such scenes.
Funding Notes
School of Mathematics Doctoral Training Grant (DTG) awards (variable number and open to European/UK Students Only)
Project supervisors
Career overview
Professor John T Kent is a member of the School of Mathematics at the University of Leeds. His research interests lie at the intersection of geometry and statistics, particularly focusing on the analysis of directional data, multivariate analysis, statistical inference, robustness and regularisation, as well as spatial and spatial-temporal processes. He has contributed significantly to the fields of shape and image analysis, which have a wide range of applications including geology, morphometrics, image analysis, climate modelling, and molecular biology. Professor Kent is involved in postgraduate research opportunities and welcomes enquiries from motivated and qualified applicants interested in PhD studies.
Research interests
Professor Kent''s research focuses on the interplay between geometry and statistics, particularly in the context of modern technology''s impact on data with a geometric component. His work includes spatial and spatial-temporal models that address dependence through space and time. He is also involved in directional data analysis, which examines random directions on circles and spheres, as well as in more complex settings. Additionally, shape analysis is a key area of interest, where he investigates the information contained in two or three-dimensional objects while disregarding factors such as location, orientation, and sometimes size. His research has a wide range of applications, including geology (orientation of rocks), morphometrics (shapes of living organisms), image analysis (identifying objects in images), climate modelling (stochastic models), and molecular biology (e.g. protein structure).
