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Polynomial Regression on Riemannian Manifolds
Jacob Hinkle, Prasanna Muralidharan, P. Thomas Fletcher, and Sarang Joshi
SCI Institute, University of Utah 72 Central Campus Drive, Salt Lake City, UT 84112, USAjacob@sci.utah.edu
prasanna@sci.utah.edu
fletcher@sci.utah.edu
sjoshi@sci.utah.edu
Abstract. In this paper we develop the theory of parametric polynomial regression in Riemannian manifolds. The theory enables parametric analysis in a wide range of applications, including rigid and non-rigid kinematics as well as shape change of organs due to growth and aging. We show application of Riemannian polynomial regression to shape analysis in Kendall shape space. Results are presented, showing the power of polynomial regression on the classic rat skull growth data of Bookstein and the analysis of the shape changes associated with aging of the corpus callosum from the OASIS Alzheimer’s study.
LNCS 7574, p. 1 ff.
lncs@springer.com
© Springer-Verlag Berlin Heidelberg 2012