Rolling Maps and Nonlinear Data
| Autor: | Krzysztof Krakowski, Fátima Silva Leite, Knut Hüper |
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| Rok vydání: | 2020 |
| Předmět: | |
| Zdroj: | Handbook of Variational Methods for Nonlinear Geometric Data ISBN: 9783030313500 |
| DOI: | 10.1007/978-3-030-31351-7_21 |
| Popis: | 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, Grasmannians and special orthogonal groups due to their importance in applications. |
| Databáze: | OpenAIRE |
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