A variational problem arising in registration of diffusion tensor images

TL;DR

This paper proves the existence of a global minimizer for a variational problem in diffusion tensor image registration, ensuring a regular spatial transformation for accurate image alignment.

Contribution

It establishes the theoretical foundation guaranteeing a regular transformation in diffusion tensor image registration by proving the existence of a global minimizer.

Findings

Existence of a global minimizer is proven.

Ensures regular spatial transformations in image registration.

Provides theoretical support for diffusion tensor image registration methods.

Abstract

The existence of a global minimizer for a variational problem arising in registration of diffusion tensor images is proved, which ensures that there is a regular spatial transformation for the registration of diffusion tensor images.