Home < 2012 Winter Project Week: Continuous 4D shapes
Snapshot of sub-cortical shape evolution. Color denotes magnitude of velocity.
Key Investigators
James Fishbaugh, Hans Johnson, Guido Gerig
Objective
During the 2011 summer project week, we applied our shape regression framework to sub-cortical shapes from a single HD subject. For this project, we plan to begin processing multiple subjects. We would like to compare the trajectories of various measurements of interest, such as volume, across subjects at different stages of disease progression.
Approach, Plan
- Estimate continuous trajectories for sub-cortical structures for multiple subjects
- Investigate volume changes between subjects at different stages of disease progression
- Explore shape evolution for other potentially significant measurements
Progress
Segmentation
The 5 pairs of sub-cortical structures (caudate, hippocampus, globus, putamen, thalamus) segmentations were provided as binary images. Triangular meshes were extracted using marching cubes, giving us 10 shapes at 3 time points.
Preprocessing
In order to prepare the shapes for longitudinal regression, the different time points must first be rigidly aligned. We do not have point correspondences between our shapes, so we use a Gaussian mixture model based tool called gmmreg to rigidly align the shapes.
We initially align the entire shape complex, rather than individual shapes, in order to preserve the spatial relationship between the anatomical structures. However, there was a small amount of translation and rotation remaining after this process that adversely impacts the growth estimation. To further align the shapes, we also register each shape individually across time.
Regression
Here, we estimate the continuous evolution of all 10 structures as a shape complex. We look for a global deformation which best deforms the baseline shapes to match the target shapes over time. We set the spatial extent at which the deformation varies to 10mm.
Remarks
HD Subjects
10001
Shape evolution of sub-cortical structures for subject 10001. Color denotes magnitude of velocity.
Evolution of volume of sub-cortical structures for subject 10001.
Evolution of left/right structures and total volume for subject 10001.
10002
Shape evolution of sub-cortical structures for subject 10002. Color denotes magnitude of velocity.
Evolution of volume of sub-cortical structures for subject 10002.
Evolution of left/right structures and total volume for subject 10002.
10010
Shape evolution of sub-cortical structures for subject 10010. Color denotes magnitude of velocity.
Evolution of volume of sub-cortical structures for subject 10010.
Evolution of left/right structures and total volume for subject 10010.
10018
Evolution of volume of sub-cortical structures for subject 10018.
Evolution of left/right structures and total volume for subject 10018.
10022
Evolution of volume of sub-cortical structures for subject 10022.
Evolution of left/right structures and total volume for subject 10022.
10027
Shape evolution of sub-cortical structures for subject 10027. Color denotes magnitude of velocity.
Evolution of volume of sub-cortical structures for subject 10027.
Evolution of left/right structures and total volume for subject 10027.
Control Subjects
10003
Shape evolution of sub-cortical structures for subject 10003. Color denotes magnitude of velocity.
Evolution of volume of sub-cortical structures for subject 10003.
Evolution of left/right structures and total volume for subject 10003.
10004
Shape evolution of sub-cortical structures for subject 10004. Color denotes magnitude of velocity.
Evolution of volume of sub-cortical structures for subject 10004.
Evolution of left/right structures and total volume for subject 10004.
10009
Shape evolution of sub-cortical structures for subject 10009. Color denotes magnitude of velocity.
Evolution of volume of sub-cortical structures for subject 10009.
Evolution of left/right structures and total volume for subject 10009.
10014
Evolution of volume of sub-cortical structures for subject 10014.
Evolution of left/right structures and total volume for subject 10014.
10016
Evolution of volume of sub-cortical structures for subject 10016.
Evolution of left/right structures and total volume for subject 10016.
10017
Evolution of volume of sub-cortical structures for subject 10017.
Evolution of left/right structures and total volume for subject 10017.
10059
Shape evolution of sub-cortical structures for subject 10059. Color denotes magnitude of velocity.
Evolution of volume of sub-cortical structures for subject 10059.
Evolution of left/right structures and total volume for subject 10059.
References
- Fishbaugh, J., Durrleman, S., Gerig, G. A Framework for Longitudinal Data Analysis via Shape Regression . SPIE Medical Imaging 2012: Image Processing. Vol. 8314. (To appear)
- Fishbaugh, J., Durrleman, S., Gerig, G. Estimation of Smooth Growth Trajectories with Controlled Acceleration from Time Series Shape Data. Proc. of Medical Image Computing and Computer Assisted Intervention (MICCAI '11). September 2011.
