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Differential invariants for the actions of planar Lie groups

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GFSW03 - Shape analysis and computational anatomy

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.

This talk is part of the Isaac Newton Institute Seminar Series series.

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