“Diffeomorpic Shape Momentum in Computational Anatomy and Neuroinformatics”

Over the past decade Computational Anatomy has been the study of structure and function in registered atlas coordinates. Unlike Google Maps which has been based on the rigid motions with scale for aligning coordinate systems, the underlying “alignment” groups in CA are the infinite dimensional diffeomorphisms. For rigid motion angular momentum plays a parsimonious roll; in diffeomorphic motion the analogous roll is played by diffeomorphic shape momentum.

We present results from computational codes for generating diffeomorphic correspondences between anatomical coordinate systems and their encoding via diffeomorphic shape momentum. Statistics will be examined for quantifying probabilistic shape momentum representations of neuroanatomy at 1mm scale. As well we will present results on functional and structural neuroinformatics in populations of normals and diseased populations in registered atlas coordinates.