Organizations: Department of Bioengineering and Imperial-X, Imperial College London, London, UK · Department of Electrical and Computer Systems Engineering, Monash University, Melbourne, Australia · National Heart and Lung Institute, Imperial College London, London SW7 2AZ, UK · Cardiovascular Research Centre, Royal Brompton Hospital, London SW3 6NP, UK · School of Biomedical Engineering & Imaging Sciences, King’s College London, London WC2R 2LS, UK
Low-field to high-field MRI synthesis has emerged as a promising strategy to improve image quality when access to high-field scanners is limited. However, in ultra-low-field settings, the degradation of anatomical detail is spatially heterogeneous: structurally ambiguous regions are more susceptible to unstable high-frequency generation, which may produce anatomically inconsistent textures and boundaries. This issue is particularly problematic when synthesized images are used for downstream quantitative analysis. We therefore study how to make diffusion-based LF-to-HF synthesis more spatially reliable, rather than only sharper on average. To this end, we propose a reliability-guided diffusion framework (ReDiff) with two complementary inference-time mechanisms. First, a reliability-guided sampling strategy attenuates unstable reverse-diffusion updates in regions with weak low-field support. Second, an uncertainty-aware candidate selection scheme aggregates multiple stochastic reconstructions according to spatial consensus and predictive uncertainty. Beyond aggregate image quality, we test whether the uncertainty is itself a usable reliability signal. Experiments on paired 64mT→3T MRI datasets show that ReDiff attains the lowest LPIPS across three contrasts and two datasets while remaining competitive on PSNR and SSIM, and downstream segmentation analysis indicates better preservation of anatomical structure.
Figures & tables
Figure 1: Motivation and challenges of our Reliability-Guided Diffusion. (A) Low-field MRI (e.g., 64 mT) is cost-effective and accessible but typically produces lower-quality images. LF-to-HF synthesis seeks to recover high-field (e.g., 3T) image fidelity under hardware and acquisition constraints. (B) Despite recent progress, diffusion-based methods may introduce unreliable high-resolution artifacts, such as artificial textures and spurious edges. These errors can degrade downstream tasks, leading to inaccurate segmentation, biased volume estimation, and reduced clinical trust.
Figure 2: Reliability-Guided Diffusion (ReDiff) framework for LF-to-HF MRI synthesis. Given a low-field (LF) image x , a conditional diffusion U-Net predicts the noise term ϵθ(yt,x,t) to iteratively recover the high-field (HF) image. (a) In the proposed reliability-guided sampling (RGS), a timestep-dependent reliability map Rt(x,yt) modulates the reverse diffusion update to suppress unsupported high-frequency amplification in ill-posed regions. (b) To further enhance robustness, uncertainty-aware candidate selection (UCS) generates multiple candidates and performs reliability-weighted aggregation based on spatial uncertainty. Together, the two-stage design improves structural consistency while reducing hallucinated details.
Figure 3: Qualitative comparison of multi-contrast low-field to high-field MRI synthesis. For each case, the top row shows full images and the bottom row shows zoomed views of the red boxed regions. ReDiff produces sharper anatomical structures and fewer artifacts, with PSNR and SSIM reported on each result.
Setting
Method
Private Dataset
Leiden Uni. Dataset
PSNR ↑
SSIM ↑
LPIPS ↓
PSNR ↑
SSIM ↑
LPIPS ↓
T 1 w
Low-field
24.83 ± 2.77 ∗∗
0.758 ± 0.133 ∗∗
0.2222 ± 0.0866 ∗∗
24.73 ± 2.81 ∗∗
0.768 ± 0.117 ∗∗
0.2138 ± 0.0741 ∗∗
Pix2Pix ( Isola et al. 2017 )
30.51 ± 2.62 ∗∗
0.933 ± 0.052 ∗∗
0.1050 ± 0.0394 ∗∗
30.71 ± 2.64 ∗∗
0.939 ± 0.054 ∗∗
0.1043 ± 0.0366 ∗∗
ESRGAN ( Wang et al. 2018 )
31.72 ± 2.54 ∗∗
0.949 ± 0.038 ∗
0.1080 ± 0.0746 ∗∗
32.08 ± 2.46 ∗∗
0.958 ± 0.029
0.1034 ± 0.0704 ∗∗
TransUNet ( Chen et al. 2024 )
31.71 ± 2.75 ∗∗
0.939 ± 0.092 ∗∗
0.0947 ± 0.0720 ∗
32.08 ± 2.72 ∗∗
0.950 ± 0.069 ∗
0.0901 ± 0.0592 ∗
ResViT ( Dalmaz, Yurt, and Cukur 2022 )
31.61 ± 2.75 ∗∗
0.941 ± 0.058 ∗∗
0.0887 ± 0.0505 ∗
32.10 ± 2.65 ∗∗
0.953 ± 0.045 ∗
0.0838 ± 0.0435
Table 1: Evaluation on the paired 64mT → 3T dataset under Multi-Contrast setting. ∗ indicates p<0.05 and ∗∗ indicates p<0.01 in a paired Wilcoxon signed-rank test against our ReDiff model, computed over test slices; absence of a marker indicates that the difference from ReDiff is not significant. Bold indicates the best result and underline indicates the second best.
Diff
RGS
UCS
Private Dataset
PSNR ↑
SSIM ↑
LPIPS ↓
✓
×
×
30.98 ± 2.55
0.934 ± 0.060
0.1080 ± 0.0697
✓
✓
×
31.72 ± 2.51
0.945 ± 0.052
0.1062 ± 0.0717
✓
×
✓
31.45 ± 2.60
0.940 ± 0.056
0.0991 ± 0.0687
✓
✓
✓
33.00 ± 2.66
0.959 ± 0.038
0.0838 ± 0.0595
Diff
RGS
UCS
Leiden Uni. Dataset
Table 2: Ablation study of the proposed ReDiff framework on the Private and Leiden datasets, averaged over the T 1 w, T 2 w, and FLAIR contrasts. RGS denotes reliability-guided sampling and UCS denotes uncertainty-aware candidate selection. Bold indicates the full model.
Figure 4: UCS uncertainty as a reliability signal. (a) Slice-level validation. Left : mean UCS uncertainty vs. slice MAE, coloured by PSNR (markers: octile means, 95% CI). Centre : MAE per uncertainty decile (shaded, 95% CI) against an affine recalibration (dotted). Right : ROC for identifying bottom-decile slices (PSNR ≤27.89 dB), using mean slice uncertainty as the score. (b) Representative slices for four diagnostic regimes; ∣ error ∣ and UCS share a colour scale across rows, and the orange box marks the worst error window, magnified at right.
UCS
uˉ
PSNR [dB]
SSIM
Edge MAE
Failure [%]
Q1
0.0043
33.55 ± 3.16
0.9256 ± 0.1538
0.0641
4.2 [2.8, 6.3]
Q2
0.0064
32.52 ± 2.29
0.9525 ± 0.0740
0.0702
4.1 [2.7, 6.1]
Q3
0.0079
31.63 ± 2.33
0.9573 ± 0.0386
0.0755
6.5 [4.7, 8.8]
Q4
0.0098
30.59 ± 2.50
0.9486 ± 0.0793
0.0810
10.7 [8.4, 13.6]
Q5
0.0136
29.61 ± 2.84
0.9382 ± 0.0879
0.0884
24.7 [21.2, 28.5]
Table 3: Fidelity and failure rate stratified by UCS uncertainty level. Values are mean ± s.d.; failure rate is reported with its Wilson 95% confidence interval. uˉ is the mean UCS uncertainty within the stratum.
Figure 5: Qualitative and quantitative downstream validation. (a) 3D structural visualization of SynthSeg-derived segmentations for representative cases. (b) Volumetric correlation with respect to the 3T reference.
Figure 6: Inference-efficiency analysis of ReDiff. (a) Component overhead measured as runtime per volume under different inference configurations. (b) Sampling-step scaling analysis. Runtime decreases substantially as the number of diffusion sampling steps is reduced.
Setting
Value
Data
Paired dataset
Monash / Leiden, aligned
Case list
shared, identical across all methods
Case selection
all
Input / output channels
1 / 1
Resolution
224 × 224
Table S1: Configuration of the model and of the evaluation protocol used for every number in this appendix.
Method
PSNR [dB]
SSIM
LPIPS
Mean [95% CI]
Median [IQR]
Mean [95% CI]
Median [IQR]
Mean [95% CI]
Median [IQR]
Low-field input
23.27 [23.17, 23.37]
23.35 [21.44, 25.17]
0.6793 [0.6734, 0.6853]
0.7065 [0.6036, 0.7947]
0.2310 [0.2280, 0.2342]
0.2175 [0.1765, 0.2706]
Pix2Pix
29.31 [29.22, 29.40]
29.03 [27.58, 30.53]
0.9202 [0.9161, 0.9240]
0.9427 [0.9206, 0.9568]
0.1091 [0.1074, 0.1110]
0.1029 [0.0849, 0.1250]
ESRGAN
29.63 [29.50, 29.76]
29.96 [27.58, 32.14]
0.9191 [0.9147, 0.9234]
0.9504 [0.9208, 0.9668]
0.1774 [0.1740, 0.1809]
0.1572 [0.1036, 0.2449]
ResViT
31.14 [31.04, 31.25]
31.16 [29.40, 32.79]
0.9392 [0.9354, 0.9428]
0.9623 [0.9445, 0.9738]
0.0911 [0.0888, 0.0934]
0.0787 [0.0616, 0.1027]
CyTran
32.29 [32.17, 32.41]
32.36 [30.52, 34.19]
0.9516 [0.9480, 0.9550]
0.9720 [0.9573, 0.9808]
0.0933 [0.0914, 0.0952]
0.0838 [0.0642, 0.1113]
Table S2: Comparison on the shared paired case list, identical for every method; three cases produced degenerate PSNR values for CyTran and are excluded from that entry alone. Each image is min-max normalised to [0,1] independently, including the reference; PSNR uses peak =2 ; SSIM is a single global window. Confidence intervals are percentile bootstrap over 10000 resamples. Best mean in bold , second best underlined .
Figure S1: Per-case metric distributions across the shared case list for (a) PSNR, (b) SSIM and (c) LPIPS. The violin shows the distribution, the box the interquartile range, the white line the median and the diamond the mean with its bootstrap 95% confidence interval. Note the long inferior PSNR tail of ESRGAN and the bimodal LPIPS distributions of ESRGAN and MiDiffusion, neither of which is apparent from summary statistics.
Metric
Baseline
Δ [95% CI]
dz
p
PSNR [dB], ReDiff minus baseline
Low-field
9.03 [8.93, 9.13]
3.43
< 0.001
Pix2Pix
2.99 [2.91, 3.07]
1.40
< 0.001
ESRGAN
2.67 [2.59, 2.75]
1.31
< 0.001
ResViT
1.16 [1.11, 1.22]
0.78
< 0.001
CyTran
0.02 [-0.05, 0.08]
0.01
0.512
Table S3: Paired comparisons of ReDiff against each baseline over the shared case list. Every row uses the same cases, with the single exception of the CyTran PSNR row, from which three degenerate cases are excluded. Δ is the within-case difference, intervals are percentile bootstrap over 10000 resamples, dz is the paired Cohen effect size, and p is a two-sided Wilcoxon signed-rank test with Holm–Bonferroni correction across every row of the table.
Figure S2: Within-case differences between ReDiff and each baseline for (a) PSNR, (b) SSIM and (c) LPIPS. Each dot is one case and the red bar is the bootstrap 95% confidence interval of the mean difference. Positive is better for PSNR and SSIM, negative is better for LPIPS. The CyTran column is centred on zero with wide symmetric scatter on the fidelity metrics and shifted negative on LPIPS.
Figure S3: Gain analysis, one row per metric: PSNR (a–c), SSIM (d–f) and LPIPS (g–i). Left : per-case score against the score of its own low-field input, with the identity line; every case falls on the improved side. Centre : gain over the input against input quality, with a least-squares fit; the negative slope shows the gain concentrating on the worst inputs. Right : win rate against each baseline, with normal-approximation 95% intervals.
Metric
Stage
Mean [95% CI]
SD
Median [IQR]
PSNR
64 mT input
23.46 [22.95, 23.98]
2.64
23.49 [21.75, 25.42]
Base(A)
24.50 [23.98, 25.04]
2.76
24.30 [22.75, 26.53]
ReDiff
28.00 [27.51, 28.48]
2.54
27.95 [26.53, 29.99]
SSIM
64 mT input
0.680 [0.645, 0.712]
0.177
0.721 [0.599, 0.801]
Base(A)
0.790 [0.756, 0.820]
0.170
0.830 [0.758, 0.897]
ReDiff
0.875 [0.844, 0.901]
0.152
0.927 [0.870, 0.948]
Table S4: Stage-wise reconstruction quality on n=105 paired validation samples, isolating the contribution of the sampled residual over the deterministic base network. Protocol as in Table S1 . Intervals are percentile bootstrap over 10000 resamples and comparisons are paired within sample.
Figure S4: Decile-resolution extension of the uncertainty stratification. (a) Slice MAE against UCS decile, Spearman ρ=0.59 . (b) Slice PSNR against UCS decile, ρ=−0.49 . (c) Failure rate per decile, with a ratio of 4.6× between D10 and D1. The failure rate is flat across the middle deciles and rises steeply over the top three, so the signal acts as an alarm rather than a graded risk estimate.
Decile
n
mean UCS
PSNR [dB]
MAE
Failure [%]
D1
272
0.0036
33.93
0.0183
6.2
D2
271
0.0051
33.17
0.0196
2.2
D3
271
0.0060
32.78
0.0212
3.7
D4
271
0.0067
32.26
0.0233
4.4
D5
271
0.0074
32.13
0.0240
4.1
D6
271
0.0083
31.12
0.0280
8.9
Table S5: Fidelity and failure rate across ten UCS uncertainty deciles, extending Table 3 of the main text to finer resolution. A slice counts as a failure if its PSNR is at most 27.89 dB. Source: comprehensive_notebook , not re-scored for this appendix.
Figure S5: Rank-selected qualitative comparison. Rows are the worst, median and best case by PSNR on the shared case list, so the selection is reproducible rather than curated. Columns are the low-field input, five baselines, ReDiff and the paired 3 T reference, with PSNR, SSIM and LPIPS printed per panel. Every method fails on the worst case; all methods converge on the best case.
Figure S6: Diagnostic gallery across five regimes, one per row: low uncertainty with high fidelity, a typical median case, high uncertainty with high error, low uncertainty with high error, and the case with the largest residual shift. Columns are the low-field input, the base network output, ReDiff, the 3 T reference, the absolute error and the UCS uncertainty map. Error and uncertainty share a colour scale within each row. The fourth row is a silent failure and is included to show the limit of the signal.
Kwame Nkrumah University of Science and Technology, Kumasi, Ghana · University of Catania, Catania, Italy · The Hong Kong University of Science and Technology, Hong Kong SAR, China +1