Wavelet-Based Multiscale Flow For Realistic Image Deformation in the Large Diffeomorphic Deformation Model Framework

TL;DR

This paper introduces a multiscale wavelet-based approach to improve image registration accuracy in the Large Diffeomorphic Deformation Model framework, especially for complex medical images, by enhancing the optimization process without altering the core model.

Contribution

It proposes a Haar wavelet-based multiscale parameterization that enhances registration performance within the existing deformation model without increasing computational complexity.

Findings

Improved registration accuracy on medical imaging datasets.

Templates preserve important anatomical details.

Enhanced performance in challenging fetal brain image registration.

Abstract

Estimating accurate high-dimensional transformations remains very challenging, especially in a clinical setting. In this paper, we introduce a multiscale parameterization of deformations to enhance registration and atlas estimation in the Large Deformation Diffeomorphic Metric Mapping framework. Using the Haar wavelet transform, a multiscale representation of the initial velocity fields is computed to optimize transformations in a coarse-to-fine fashion. This additional layer of spatial regularization does not modify the underlying model of deformations. As such, it preserves the original kernel Hilbert space structure of the velocity fields, enabling the algorithm to perform efficient gradient descent. Numerical experiments on several datasets, including abnormal fetal brain images, show that compared to the original algorithm, the coarse-to-fine strategy reaches higher performance and yields template images that preserve important details while avoiding unrealistic features. This highly versatile strategy can easily be applied to other mathematical frameworks for almost no additional computational cost.