Discrete Harmonics for Hexagonal Symmetry

The following images show discrete approximations to the twenty lowest order harmonics for ODF's with hexagonal symmetry. The first harmonic is constant and is not shown. They are shown on a mesh with 62,208 tetrahedral elements and 10380 independent degrees of freedom. The harmonics were computed using the matlab ODF/PF routines (development version, not yet generally available, but hopefully soon) and the plots were made using openDX.

Click on any of the images below to get a more detailed view.

Harmonic 2