2 papers
math.GR2026
A Diffeomorphism Groupoid and Algebroid Framework for Discontinuous Image Registration
Lili Bao, Bin Xiao, Shihui Ying +1
In this paper, we propose a novel mathematical framework for piecewise diffeomorphic image registration that involves discontinuous sliding motion using a diffeomorphism groupoid a…
math.OC2023
Sliding at first order: Higher-order momentum distributions for discontinuous image registration
Lili Bao, Jiahao Lu, Shihui Ying +1
In this paper, we propose a new approach to deformable image registration that captures sliding motions. The large deformation diffeomorphic metric mapping (LDDMM) registration met…