Laplace-Beltrami eigenfunction expansion of cortical manifolds

Seongho Seo, Moo K. Chung
2011 2011 IEEE International Symposium on Biomedical Imaging: From Nano to Macro  
We represent a shape representation technique using the eigenfunctions of Laplace-Beltrami operator and compare the performance with the conventional spherical harmonic (SPHARM) representation. Cortical manifolds are represented as a linear combination of the Laplace-Beltrami eigenfunctions, which form orthonormal basis. Since the Laplace-Beltrami eigenfunctions reflect the intrinsic geometry of the manifolds, the new representation is supposed to more compactly represent the manifolds and
more » ... rform SPHARM representation. However, this is not demonstrated yet in brain imaging data. We demonstrate the superior reconstruction capability of the Laplace-Beltrami eigenfunction representation using cortical and amygdala surfaces as examples.
doi:10.1109/isbi.2011.5872426 dblp:conf/isbi/SeoC11 fatcat:vqf6smyh3vaczlcadjznc3irdu