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Uncertainty-Aware 3D Residual Wavelet Diffusion for Ultra Low-Field MRI Super-Resolution

Summary

The paper proposes a 3D residual wavelet diffusion model that combines lossless wavelet reparameterisation, residual shifting and domain randomisation to enable whole-brain posterior sampling on a single GPU, producing per-voxel uncertainty maps for 0.064T ultra low-field MRI while matching a leading regression baseline on volumetric accuracy.

SourcearXiv Computer VisionAuthor: Rui W. Yeow, Millie Beament, Fred Dick, Raha Razin, Martina Bocchetta, David L. Thomas, Henry F. J. Tregidgo, Daniel C. Alexander, James H. Cole
Uncertainty-Aware 3D Residual Wavelet Diffusion for Ultra Low-Field MRI Super-Resolution
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[Submitted on 21 Sep 2026]

Title:Uncertainty-Aware 3D Residual Wavelet Diffusion for Ultra Low-Field MRI Super-Resolution

View a PDF of the paper titled Uncertainty-Aware 3D Residual Wavelet Diffusion for Ultra Low-Field MRI Super-Resolution, by Rui W. Yeow and 8 other authors

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Abstract:Ultra low-field MRI expands global access to neuroimaging but produces scans with low signal-to-noise ratio, reduced contrast, and thick slices. While regression-based super-resolution can recover anatomical detail for segmentation, it returns a single deterministic estimate that gives no indication of regions where the low-field input leaves anatomy underdetermined. Generative diffusion models offer an alternative by sampling the posterior distribution of plausible high-field images, quantifying this anatomical ambiguity. However, applying them to 3D whole-brain MRI is restricted by memory bottlenecks, slow sampling, and scanner domain shifts. We propose a 3D residual wavelet diffusion model that combines three ideas to overcome these hurdles. A lossless wavelet reparameterisation shrinks the spatial grid to fit a whole brain on a single GPU, residual shifting accelerates sampling by starting from the low-field input, and domain randomisation promotes scanner generalisation without paired training data. As the high-field reference is not a voxel-aligned ground truth, we evaluate downstream volumetric agreement. On a healthy cohort (n=19) imaged at 0.064T and 3T, our method matches a leading general-purpose regression approach in volumetric accuracy while additionally generating per-voxel uncertainty maps highlighting underdetermined regions. Furthermore, on a pilot dataset (n=11) of participants with cognitive impairment, disease-relevant atrophy is preserved rather than normalised towards a healthy prior. Our framework brings whole-brain posterior sampling to low-field super-resolution without sacrificing volumetric accuracy.

Comments: 11 pages, 3 figures, 1 table. Accepted at SASHIMI 2026 (MICCAI 2026 workshop). This is the version submitted for peer review

Subjects:

Computer Vision and Pattern Recognition (cs.CV)

Cite as: arXiv:2609.25319 [cs.CV]

(or arXiv:2609.25319v1 [cs.CV] for this version)

https://doi.org/10.48550/arXiv.2609.25319

arXiv-issued DOI via DataCite (pending registration)

Submission history

From: Rui Wyern Yeow Ms [view email] [v1] Mon, 21 Sep 2026 19:10:14 UTC (4,515 KB)

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Key points and analysis

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Key points

  • A lossless wavelet reparameterisation shrinks the spatial grid so a whole brain fits on one GPU
  • Residual shifting accelerates sampling from the low-field input and domain randomisation enables scanner generalisation without paired training data
  • On a healthy cohort (n=19) imaged at 0.064T and 3T, the method matches a leading general-purpose regression approach while adding per-voxel uncertainty maps
  • On a pilot dataset (n=11) of cognitively impaired participants, disease-relevant atrophy is preserved rather than normalised towards a healthy prior

Highlights and analysis are generated automatically and may contain errors. Check the original source.