# Summer project week 2011 Finsler Streamlines

## Key Investigators

- LMI: Antonio Tristán-Vega
- LMI: Demian Wasserman
- LMI: Carl-Fredrik Westin

### Objective

In the last project week we delivered an implementation of the Finsler method to compute the connectivity among regions in the white matter through High Angular Resolution Diffusion Imaging. Such method provides a costs map from a given seeding point/region to any other point within the brain. The aim in this project is tracing the minimum cost paths between two given regions in the white matter, which will in turn provide the desired streamlines.

### Approach, Plan

The method is described in detail in the references below. To compute the costs map we use the Fast Sweeping algorithm: upon convergence, this method provides the minimum cost at each image voxel together with the direction such cost was reached from. Thus, the "backtracing" of these directions from a given point to the seeding point/region provides the minimum cost path.

### Progress

By this time the following code available in C++/ITK:

- HARDI estimation based on Spherical Harmonics (to compute Finsler local costs).
- Parallel fast sweeping algorithm (to compute the globally optimal costs).
- Slicer module implementing the computation of the costs map and arrival directions from input DWI data [1].
- A first version of the backtracing algorithm is ready [2].

To do:

- Add testing.

## Delivery Mechanism

This work will be delivered to the NA-MIC Kit as a Slicer Module

## References

- Melonakos, J.; Pichon, E.; Angenent, S.; Tannenbaum, A.; "Finsler active contours." IEEE Transactions on Pattern Analysis and Machine Intelligence, 30(3): 412-423, 2008.
- Melonakos, J.; Mohan, V.; Niethammer, M.; Smith, K.; Kubicki M.; Tannenbaum, A.; "Finsler tractography for white matter connectivity analysis of the cingulum bundle", Procs. MICCAI 2007, LNCS 4791, pp. 36-43.