Registering Spherical Navigator Echoes using Spherical Harmonic Expansions to Measure 3D Rotations
Costa A, Drangova M
Robarts Research Institute
This study presents an evaluation of accuracy and precision of 3D rotation measurements obtained by calculating the spherical harmonic expansions of spherical navigator (SNAV) echo data. Our analysis employed the SOFT freeware package, where SOFT stands for SO(3) Fourier transform and SO(3) denotes the group of proper rotations of R3 about the origin. Although computationally expensive, it is shown that registering SNAVs with this technique is accurate, precise, and robust.