Sparsity Characterisation of the Diffusion Propagator

Etienne Saint-Amant¹, Maxime Descoteaux¹

In a Compressed Sensing (CS) framework, we focused on characterizing the sparsity of diffusion propagator from Diffusion Spectrum Imaging (DSI) data. We extensively analyzed the performance of the 3D orthogonal wavelet basis and biorthogonal wavelet basis. We answer important questions such as: What is the best basis? Is biorthogonality showing benefits over orthogonality? What is the best thresholding method? How does this apply in a real human brain dataset?