Abstract
Two canonical representations for regularization of unit spherefunctions encountered in the context of high angular resolution diffusionimaging (HARDI) are discussed. One of these is based on spherical harmonicdecomposition, and its one-parameter extension via Tikhonov regularization.This case is well-established, and is mainly reviewed for thesake of completeness. The second one is new, and is based on a higherorder diffusion tensor decomposition. A homogeneous representation ofthis type has been proposed in the literature, but we show that thisis inconvenient for the purpose of regularization. We instead construct aheterogeneous representation that can be regarded as "canonical", to theextent that its behaviour under regularization mimics that of sphericalharmonics.
| Original language | English |
|---|---|
| Title of host publication | MICCAI Workshop on Computational Diffusion MRI |
| Pages | 94-105 |
| Publication status | Published - 2008 |