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Differential invariants for the actions of planar Lie groups

Presented by: 
Stephen Marsland Massey University
Date: 
Tuesday 14th November 2017 - 14:00 to 14:45
Venue: 
INI Seminar Room 1
Abstract: 
Co-authors: Richard Brown (Massey University), Robert McLachlan (Massey University)

A classic problem in image processing is to recognise the similarity or planar objects (point sets, curves, or images) up to transformations from a local planar group such as the Euclidean, similarity, and projective groups. Building on Cartan’s solution to the equivalence problem, an influential new paradigm for this problem was introduced by Calabi et al., the differential invariant signature. The general theory has been developed extensively and many examples computed for planar curves, including the Euclidean, equi-affine, and projective groups. In this talk we demonstrate how to develop and apply differential invariant signatures for planar images.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons