Vectorial fractional-order regularizer-based diffeomorphic image registration model and its numerical algorithm

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Zhang, Jin and Kong, Xu and Zhang, Jianping and Yang, Fenlin and Chen, Ke (2025) Vectorial fractional-order regularizer-based diffeomorphic image registration model and its numerical algorithm. Journal of Mathematical Imaging and Vision, 67 (4). 38. ISSN 0924-9907 (https://doi.org/10.1007/s10851-025-01254-w)

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Abstract

A diffeomorphic image registration model with a vectorial fractional-order regularizer is introduced to handle displacement fields with varying smoothness and to avoid mesh folding. Furthermore, we combine the damped Newton method with the Armijo line search and apply a multilevel strategy to solve the discretized version of the new model. Furthermore, both the existence of solutions to the model and the convergence of the algorithm have been established. Numerical experiments on synthetic and real images confirm the superiority of the proposed model and the effectiveness of the algorithm.

ORCID iDs

Zhang, Jin, Kong, Xu, Zhang, Jianping, Yang, Fenlin and Chen, Ke ORCID logoORCID: https://orcid.org/0000-0002-6093-6623;
CORE (COnnecting REpositories)