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.