Manifold-valued Thin-Plate Splines with Applications in Computer Graphics

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dc.contributor.authorSteinke, Florianen_US
dc.contributor.authorHein, Matthiasen_US
dc.contributor.authorPeters, Janen_US
dc.contributor.authorSchoelkopf, Bernharden_US
dc.date.accessioned2015-02-21T16:19:07Z
dc.date.available2015-02-21T16:19:07Z
dc.date.issued2008en_US
dc.description.abstractWe present a generalization of thin-plate splines for interpolation and approximation of manifold-valued data, and demonstrate its usefulness in computer graphics with several applications from different fields. The cornerstone of our theoretical framework is an energy functional for mappings between two Riemannian manifolds which is independent of parametrization and respects the geometry of both manifolds. If the manifolds are Euclidean, the energy functional reduces to the classical thin-plate spline energy. We show how the resulting optimization problems can be solved efficiently in many cases. Our example applications range from orientation interpolation and motion planning in animation over geometric modelling tasks to color interpolation.en_US
dc.description.number2en_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.description.volume27en_US
dc.identifier.doi10.1111/j.1467-8659.2008.01141.xen_US
dc.identifier.issn1467-8659en_US
dc.identifier.pages437-448en_US
dc.identifier.urihttps://doi.org/10.1111/j.1467-8659.2008.01141.xen_US
dc.publisherThe Eurographics Association and Blackwell Publishing Ltden_US
dc.titleManifold-valued Thin-Plate Splines with Applications in Computer Graphicsen_US
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