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Activity Number: 322
Type: Topic Contributed
Date/Time: Tuesday, July 31, 2007 : 2:00 PM to 3:50 PM
Sponsor: Biometrics Section
Abstract - #308893
Title: Brain Asymmetry Analysis via Weighted Spherical Harmonic Representation
Author(s): Moo K. Chung*+
Companies: University of Wisconsin-Madison
Address: Department of Statistics, Madison, WI, 53708,
Keywords: Brain ; Image Analysis ; Spherical Harmonics ; Symmetry ; Asymmetry ; SPHARM
Abstract:

Previous approaches on brain asymmetry analysis start with mirroring 3D magnetic resonance images. The correspondence across the hemispheres is established by registering the original image to the mirrored image. We present a radically different approach that utilizes the recently developed weighted spherical harmonic (SPHARM) representation. The weighted-SPHARM is a partial differential equation (PDE) based smoothing technique where the solution of the PDE is expressed as a weighted linear combination of harmonics. Due to the angular symmetry in the spherical harmonics, the correspondence across can be obtained without the time consuming image registration. Our approach can reduce the Gibbs phenomenon by making the coefficients of the expansion exponentially decaying faster and thus making more rapid convergence for discontinuous measurements.


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Revised September, 2007