Mapping hippocampal atrophy with a multi-scale model of shape

Authors:
Xinyang Liu;Yonggang Shi;Jonathan Morra;Xiuwen Liu;Paul Thompson;Washington Mio
Affiliations:
Department of Mathematics, Florida State University, Tallahasse, FL;Laboratory of NeuroImaging, UCLA School of Medicine, Los Angeles, CA;Laboratory of NeuroImaging, UCLA School of Medicine, Los Angeles, CA;Department of Computer Science, Florida State University, Tallahasse, FL;Laboratory of NeuroImaging, UCLA School of Medicine, Los Angeles, CA;Department of Mathematics, Florida State University, Tallahasse, FL
Venue:
ISBI'09 Proceedings of the Sixth IEEE international conference on Symposium on Biomedical Imaging: From Nano to Macro
Year:
2009

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Abstract

We construct a multi-scale model of shape of surfaces in 3D space based on the heat kernel associated with the Laplace-Beltrami operator. The model is applied to the analysis of longitudinal neuroimaging data collected by the Alzheimer's Disease Neuroimaging Initiative. We use measures of shape deformation energy to quantify, compare and create maps of regional changes in hippocampal shape in normal aging, progression of Alzheimer's disease and mild cognitive impairment over a one-year period.