Slice-Consistent 3D Volumetric Brain CT-to-MRI Translation with 2D Brownian Bridge Diffusion Model
Abstract
Methods
Pipeline

Training and sampling scheme of the proposed methods. (a) During the multi-slice BBDM training, a target histogram-based style key is injected into the U-Net. (b) Target volume sampling proceeds in the manner of the Predictor-Corrector method. During the co-prediction phase, multiple ${\epsilon}^{i,k}_{\theta,t}$ are employed to establish connections among the predicted slices within ${\bar{X}}_{t-1}$. In the subsequent correction phase, the co-predicted volume is refined through a score-guided deterministic process.
Inter-Slice Trajectory Alignment (ISTA) Sampling

Visualization of the latent space and algorithm for ISTA sampling. The trained U-Net produces inconsistent outputs for multi-slice inputs that include the $i^{th}$ slice. The co-prediction unifies the direction of these independent inferences, while the correction aligns the co-predicted $\bar{{x}}_{t}^i$ onto the manifold of ${x}^i_{t}$.
Main Results
In-house Dataset (CT$\rightarrow$MRI)

BraTS2023 Dataset (FLAIR$\rightarrow$T1)

Quantitative Results

Additional Studies
Various Style Keys for SKC (CT$\rightarrow$MRI)

The figure shows real MRIs of main subject A, another subject X, and Colin 27 Average Brain (public access), along with synthetic MRIs of subject A. Both $\text{Ours}_{\text{X}}$ and $\text{Ours}_{\text{colin}}$ present synthetic MRIs of subject A, each transformed into the respective styles of X and Colin. From the analysis of the intensity histogram presented above, we observe that $\text{Ours}_{\text{X}}$ closely matches the MRI histogram of subject X, while $\text{Ours}_{\text{colin}}$ aligns with that of Colin. This demonstrates that the style of MRIs can be effectively controlled using SKC.
Ablation Studies for SKC and ISTA (Qualitative)

Ablation Studies for SKC and ISTA (Quantitative)
