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Although there are many imaging studies on traditional ROI-based amygdala volumetry, there are very few studies on modeling amygdala shape variations. This paper presents a unified computational and statistical framework for modeling amygdala shape variations in a clinical population. The weighted spherical harmonic representation is used to parameterize, smooth out, and normalize amygdala surfaces...
Cortical surfaces can be modeled using the recently developed weighed spherical harmonic (SPHARM) representation. The weighted-SPHARM representation incorporates data smoothing, parametrization and surface registration in a unified mathematical framework. The weighted-SPHARM represents the surface coordinates as a weighted linear combination of spherical harmonics in such a way that it solves a heat...
We present a novel weighted Fourier series (WFS) representation for cortical surfaces. The WFS representation is a data smoothing technique that provides the explicit smooth functional estimation of unknown cortical boundary as a linear combination of basis functions. The basic properties of the representation are investigated in connection with a self-adjoint partial differential equation and the...
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