
  
Fully Convolutional SVR for Single-Stack MRI 
Sean I Young    Yaël Balbastre    Bruce Fischl    Polina Golland    Juan Eugenio Iglesias 
Harvard Medical School    MIT
 
 
1. Slice-to-Volume Reconstruction (SVR)  
•  MRI of subjects who move uncontrollably — 2D slice acquisitions taken 
• 
Acquired slices are assembled into a 3D volume — referred to as “SVR”
 
• 
We propose a SVR method that can reconstruct from a single slice stack
 
 
2. Multiple-Stack SVR Using Optimization 
•  Reconstruct volume based on previously estimated motion parameters 
•  Re-estimate motion parameters based    
on the previous 3D reconstruction 
•  Optimization problem becomes 
 
 
 
 
•  Objective is non-convex and solving    
the problem is time-consuming  
3. Previous Deep Learning Reconstructions 
•  Predict affine/rigid parameters    
of each 2D slice in 3D space 
•  Can fail to reconstruct if 
the slice motion is large 
•  Does not generalize to non-
affine deformable motion 
 
4. From Single-View Depth Estimation … 
•  DL enables depth estimation from   
a single view 
•  Train a fully convolutional network   
model on (view, depth) examples 
•  Use similar principle for single-stack   
slice-to-volume reconstruction? 
 
 
 
 
5. ... To Fully Convolutional SVR 
•  Unroll iterations of optimization into end-to-end motion prediction  
•  Registration of an unknown moving image to a known fixed image 
  
 
6. Supervised Learning 
•  Train fully convolutional network on   
(slice stack, motion stack) examples 
•  Synthesize slice stacks with arbitrary   
random but known motion 
•  Use rigid compensated   
loss for training:  
 
 
7. Rigid Motion-compensating Loss 
•  Uncompensated loss penalizes global rotations and    
translations 
•  Translation-compensated loss improves training 
•  Full rigid motion compensated loss further improves   
training 
 
8. Supervised Interpolation 
•  Splatted volume has regions of    
missing intensities due to motion 
•  Interpolate missing intensities to   
produce artifact-free 3D volume 
9. Reconstruction Results 
 
 
 
10. Current and Future Work 
•  Fully convolutional deformable SVR for abdominal imaging et cetera 
•  Margherita’s adaptation to clinical workflows (multiple stacks et cetera) 
Figure adapted from Simonyan et al. (2014) 
Figure adapted from  
Szeliski and Golland (1999)