Geodesic positioning systems (GPS) for the brain was first articulated in the paper Diffeomorphometry and Geodesic Positioning Systems for Human Anatomy in Technology (Singapore World Science), March 2014, Miller, Trouve, Younes, and deployed for high throughput neuro-informatics as described in High Throughput Neuro-Imaging Informatics, Frontiers in Neuroinformatics, December 2013, Miller, Oishi, Faria, Mori, .
GPS is associated to the metric spaces of anatomical shapes and forms in the Computational Anatomy project. The metric is constructed based on the geodesic length of the flows of diffeomorphisms connecting the forms.
Since the metric is constructed based on the geodesic length of the flows of diffeomorphisms connecting the forms, we call it diffeomorphometry. The metric is constructed from flows that describe algebraic group action on anatomical submanifolds and associated functional measurements, they become the basis for positioning information, which we term geodesic positioning. As well the geodesic connections provide Riemannian coordinates for locating forms in the anatomical orbit, which we call geodesic coordinates. These three components taken together - the metric, geodesic positioning of information, and geodesic coordinates - we term the geodesic positioning system.
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