This title appears in the Scientific Report : 2015 

Model Selection Techniques Applied to Real-Valued Symmetric Spherical Harmonics Series Expansion
Rüppel, Simon (Corresponding author)
Jülich Supercomputing Center; JSC
JSC-internes Seminar, Jülich (Germany), 2015-09-30 - 2015-09-30
Talk (non-conference)
Computational Science and Mathematical Methods
Polarized Light Imaging is a technique to impose three-dimensional direction-informationfrom a post-mortem brain. This direction-data indicates nervefibers and is distributed discretely on a spherical 2D-surface. A mathematicalmodel can be found to fit a continuous spherical function through the discretesample points. This presentation shows the selection of a proper mathematicalmodel for different input data with regards to over- and under-fitting. The basicconcept for this kind of model is the spherical harmonics basis, an orthonormalbasis on a sphere. The aim is to find a model that matches the data as well aspossible.