Manifold-aware Synthesis of High-resolution Diffusion from Structural Imaging

TL;DR

This paper introduces a novel Riemannian network architecture that synthesizes high-resolution diffusion images from T1w structural images, ensuring physically plausible results by incorporating the Log-Euclidean Metric, and demonstrating improved accuracy over baselines.

Contribution

The work presents the first Riemannian network for diffusion synthesis from structural images, integrating the Log-Euclidean Metric to guarantee valid diffusion generation.

Findings

Improved FA MSE by over 23% compared to baselines.

Achieved less than 3% difference in streamline length in tractograms.

Generated diffusion images in under 15 seconds.

Abstract

The physical and clinical constraints surrounding diffusion-weighted imaging (DWI) often limit the spatial resolution of the produced images to voxels up to 8 times larger than those of T1w images. Thus, the detailed information contained in T1w imagescould help in the synthesis of diffusion images in higher resolution. However, the non-Euclidean nature of diffusion imaging hinders current deep generative models from synthesizing physically plausible images. In this work, we propose the first Riemannian network architecture for the direct generation of diffusion tensors (DT) and diffusion orientation distribution functions (dODFs) from high-resolution T1w images. Our integration of the Log-Euclidean Metric into a learning objective guarantees, unlike standard Euclidean networks, the mathematically-valid synthesis of diffusion. Furthermore, our approach improves the fractional anisotropy mean squared error (FA MSE) between the synthesized diffusion and the ground-truth by more than 23% and the cosine similarity between principal directions by almost 5% when compared to our baselines. We validate our generated diffusion by comparing the resulting tractograms to our expected real data. We observe similar fiber bundles with streamlines having less than 3% difference in length, less than 1% difference in volume, and a visually close shape. While our method is able to generate high-resolution diffusion images from structural inputs in less than 15 seconds, we acknowledge and discuss the limits of diffusion inference solely relying on T1w images. Our results nonetheless suggest a relationship between the high-level geometry of the brain and the overall white matter architecture.