search

brain-slam / slam

Surface anaLysis And Modeling
MIT License
13 stars 24 forks source link

2b. verify if results from sphere to mesh is the same that results computed directly on sphere #105

Open alexpron opened 1 year ago

alexpron commented 1 year ago

The idea is to apply spangy directly onto a sphere where the curvature information has been mapped. There are tons of methods to map a mesh onto a sphere but ywe could use the one in Lefevre & Auzias, 2015 that can be implemented rapidly in slam https://hal.archives-ouvertes.fr/hal-01222933/file/74-Lefevre.pdf

JulienLefevreMars commented 1 year ago

Two conclusions:

  1. It is not easy to compare the numerical eigenvectors with the analytic ones because the eigenvalues are not unique (the eigenspace is degenerated).
  2. But we could use the inverse mapping to back-project the spherical harmonics onto the brain mesh and check whether a. the functions are (almost) orthogonal and b. they allow to obtain comparable results when looking at the spectral bands.