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Efficient recursive estimation of the Riemannian barycenter on the hypersphere and the special orthogonal group with applications

Rudrasis Chakraborty; Baba C. Vemuri    University of Florida, CISE Department, Gainesville, FL, United States

Abstract

Finding the Riemannian barycenter (center of mass) or the Fréchet mean (FM) of manifold-valued data sets is a commonly encountered problem in a variety of fields of science and engineering, including, but not limited to, medical image computing, machine learning, and computer vision. For example, it is encountered in tasks such as atlas construction, clustering, principal geodesic analysis, and so on. Traditionally, algorithms for computing the FM of the manifold-valued data require that the entire ...

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