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math.OC2020
Nonlinear Regression on Manifolds for Shape Analysis using Intrinsic Bézier Splines
Martin Hanik, Hans-Christian Hege, Anaja Hennemuth +1
Intrinsic and parametric regression models are of high interest for the statistical analysis of manifold-valued data such as images and shapes. The standard linear ansatz has been…
math.OC2019
Geodesic analysis in Kendall's shape space with epidemiological applications
Esfandiar Nava-Yazdani, Hans-Christian Hege, T. J. Sullivan +1
We analytically determine Jacobi fields and parallel transports and compute geodesic regression in Kendall's shape space. Using the derived expressions, we can fully leverage the g…