Rolling Maps and Nonlinear Data

Knut Hüper (), Krzysztof A. Krakowski () and Fátima Silva Leite ()
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Knut Hüper: Julius-Maximilians-Universität Würzburg, Institute of Mathematics
Krzysztof A. Krakowski: Uniwersytet Kardynała Stefana Wyszyńskiego, Wydział Matematyczno-Przyrodniczy
Fátima Silva Leite: University of Coimbra, Department of Mathematics and Institute of Systems and Robotics

Chapter Chapter 21 in Handbook of Variational Methods for Nonlinear Geometric Data, 2020, pp 577-610 from Springer

Abstract: Abstract In this chapter we study solutions to certain interpolation problems on Riemannian manifolds. Our methodology is based on rolling motions of those manifolds considered as rigid bodies, subject to holonomic as well as non-holonomic constraints. Although our approach is quite general, we focus our attention to three specific examples, namely spheres, Graßmannians and special orthogonal groups due to their importance in applications.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-31351-7_21

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DOI: 10.1007/978-3-030-31351-7_21

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