The work develops a diffeomorphism groupoid and algebroid framework for piecewise diffeomorphic image registration with discontinuous sliding motions, including analysis of associated Lie algebroids and derivation of Euler-Arnold equations.
Younes.Shapes and Diffeomorphisms
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A Diffeomorphism Groupoid and Algebroid Framework for Discontinuous Image Registration
The work develops a diffeomorphism groupoid and algebroid framework for piecewise diffeomorphic image registration with discontinuous sliding motions, including analysis of associated Lie algebroids and derivation of Euler-Arnold equations.