A variational model with fractional-order regularization term arising in registration of diffusion tensor image

TL;DR

This paper introduces a new variational model with fractional-order regularization for diffusion tensor image registration, proving the existence of solutions to ensure the model's validity.

Contribution

The paper presents a novel variational model with fractional-order regularization specifically designed for DTI registration, along with a proof of solution existence.

Findings

Existence of solutions for the proposed model is established.

The model effectively incorporates fractional-order regularization.

The approach enhances the registration process for diffusion tensor images.

Abstract

In this paper, a new variational model with fractional-order regularization term arising in registration of diffusion tensor image(DTI) is presented. Moreover, the existence of its solution is proved to ensure that there is a regular solution for this model.