caa a22 4500 605540330 CHVBK 20210128100911.0 cr unu---uuuuu 210128e20150901xx s 000 0 eng 10.1007/s00371-014-1001-y doi (NATIONALLICENCE)springer-10.1007/s00371-014-1001-y Eslitzbichler Markus Department of Mathematical Sciences, Norwegian University of Science and Technology, 7491, Trondheim, Norway aut Modelling character motions on infinite-dimensional manifolds [Elektronische Daten] [Markus Eslitzbichler] In this article, we will formulate a mathematical framework that allows us to treat character animations as points on infinite-dimensional Hilbert manifolds. Constructing geodesic paths between animations on those manifolds allows us to derive a distance function to measure similarities of different motions. This approach is derived from the field of geometric shape analysis, where such formalisms have been used to facilitate object recognition tasks. Analogously to the idea of shape spaces, we construct motion spaces consisting of equivalence classes of animations under reparametrizations. Especially cyclic motions can be represented elegantly in this framework. We demonstrate the suitability of this approach in multiple applications in the field of computer animation. First, we show how visual artefacts in cyclic animations can be removed by applying a computationally efficient manifold projection method. We next highlight how geodesic paths can be used to calculate interpolations between various animations in a computationally stable way. Finally, we show how the same mathematical framework can be used to perform cluster analysis on large motion capture databases, which can be used for or as part of motion retrieval problems. Springer-Verlag Berlin Heidelberg, 2014 Riemannian shape analysis nationallicence Elastic metric nationallicence Character animation nationallicence Parametric motion nationallicence Motion capture nationallicence Motion retrieval nationallicence The Visual Computer Springer Berlin Heidelberg 31/9(2015-09-01), 1179-1190 0178-2789 31:9<1179 2015 31 371 https://doi.org/10.1007/s00371-014-1001-y text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00371-014-1001-y text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Eslitzbichler Markus Department of Mathematical Sciences, Norwegian University of Science and Technology, 7491, Trondheim, Norway aut NATIONALLICENCE 773 0- The Visual Computer Springer Berlin Heidelberg 31/9(2015-09-01), 1179-1190 0178-2789 31:9<1179 2015 31 371