AI RESEARCH
A Diffeomorphism Groupoid and Algebroid Framework for Discontinuous Image Registration
arXiv CS.CV
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ArXi:2603.11806v1 Announce Type: cross In this paper, we propose a novel mathematical framework for piecewise diffeomorphic image registration that involves discontinuous sliding motion using a diffeomorphism groupoid and algebroid approach. The traditional Large Deformation Diffeomorphic Metric Mapping (LDDMM) registration method builds on Lie groups, which assume continuity and smoothness in velocity fields, limiting its applicability in handling discontinuous sliding motion.