Spherical harmonic representation of anatomical boundary Moo K. Chung Department of Statistics Department of Biostatistics and Medical Informatics Waisman Laboratory for Brain Imaging and Behavior University of Wisconsin-Madison http://www.stat.wisc.edu/~mchung
Spherical harmonic (SPHARM) representation is a smooth basis function expansion on unit sphere measurement basis function expansion sub.1 sub.2
SPHARM for specific degrees
Previous brute force approach. Due to a memory problem, SPHARM over degree 40 was not possible.
SPHARM representation of the cortex
Average template cortex is constructed by averaging the SPHARM coefficients.
SPHARM of noisy cortical thickness
What do we do with this new technique? 1. Hippocampus and amygdala shape analysis in autism 2. HRF modeling on cortical surface
SPHARM representation of hippocampus – Shubing Wang Overfitting degree 1 degree 5 degree 10 degree 50
Volume rendering of manual segmentation of a normal subject (from an old study). Left hippocampus Right hippocampus
Marching cubes algorithm for manual segmentation
Manual segmentation Improved estimation
Superimposition of the manual to our active contour based result. Underestimate the manual segmentation.