Variational image registration by a total fractional-order variation model

Zhang, Jianping and Chen, Ke ORCID: 0000-0002-6093-6623 (2015) Variational image registration by a total fractional-order variation model. Journal of Computational Physics, 293. pp. 442-461.

Text JCP_JZ-Ke.pdf - Unspecified Download (3MB)

Abstract

In this paper, a new framework of nonlocal deformation in non-rigid image registration is presented. It is well known that many non-rigid image registration techniques may lead to unsteady deformation (e.g. not one to one) if the dissimilarity between the reference and template images is too large. We present a novel variational framework of the total fractional-order variation to derive the underlying fractional Euler-Lagrange equations and a numerical implementation combining the semi-implicit update and conjugate gradients (CG) solution to solve the nonlinear systems. Numerical experiments show that the new registration not only produces accurate and smooth solutions but also allows for a large rigid alignment, the evaluations of the new model demonstrate substantial improvements in accuracy and robustness over the conventional image registration approaches.

Item Type:	Article
Uncontrolled Keywords:	Inverse problem, Image registration, Total fractional-order variation, Fractional derivatives, PDE
Depositing User:	Symplectic Admin
Date Deposited:	01 Sep 2015 10:10
Last Modified:	15 Dec 2022 08:07
DOI:	10.1016/j.jcp.2015.02.021
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/2023465