Un-reduction in field theory.

Lett Math Phys

1Department of Mathematics, Imperial College, London, SW7 2AZ UK.

Published: September 2017

The un-reduction procedure introduced previously in the context of classical mechanics is extended to covariant field theory. The new covariant un-reduction procedure is applied to the problem of shape matching of images which depend on more than one independent variable (for instance, time and an additional labelling parameter). Other possibilities are also explored: nonlinear [Formula: see text]-models and the hyperbolic flows of curves.

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http://www.ncbi.nlm.nih.gov/pmc/articles/PMC5748459PMC
http://dx.doi.org/10.1007/s11005-017-1000-9DOI Listing

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