A fast and robust ODF estimation algorithm in Q-ball imaging

We propose a simple and straightforward analytic solution for the Q-ball reconstruction of the diffusion orientation distribution function (ODF) of the underlying fiber population. First, the signal is modeled with a high order spherical harmonic series using a Laplace-Beltrami regularization method which leads to an elegant mathematical simplification of the FunkRadon transform using the Funk-Hecke formula. In doing so, we obtain a fast and robust model-free ODF approximation. We validate the accuracy of the estimation quantitatively against synthetic data generated from the multi-tensor model and show that our estimated ODF can recover known multiple fiber regions in a biological phantom and in the human brain.

• Type: Conference
• Year: 2006
• Where: ISBI
• Authors: Maxime Descoteaux, Elaine Angelino, Shaun Fitzgibbons, Rachid Deriche
• Keywords: Elegant Mathematical Simplification, ISBI 2006, Medical Imaging, Model-free Odf Approximation, Straightforward Analytic Solution