Time-Discrete Geodesics in the Space of Shells

dc.contributor.authorHeeren, Behrenden_US
dc.contributor.authorRumpf, Martinen_US
dc.contributor.authorWardetzky, Maxen_US
dc.contributor.authorWirth, Benedikten_US
dc.contributor.editorEitan Grinspun and Niloy Mitraen_US
dc.date.accessioned2015-02-28T07:44:15Z
dc.date.available2015-02-28T07:44:15Z
dc.date.issued2012en_US
dc.description.abstractBuilding on concepts from continuum mechanics, we offer a computational model for geodesics in the space of thin shells, with a metric that reflects viscous dissipation required to physically deform a thin shell. Different from previous work, we incorporate bending contributions into our deformation energy on top of membrane distortion terms in order to obtain a physically sound notion of distance between shells, which does not require additional smoothing. Our bending energy formulation depends on the so-called relative Weingarten map, for which we provide a discrete analogue based on principles of discrete differential geometry. Our computational results emphasize the strong impact of physical parameters on the evolution of a shell shape along a geodesic path.en_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.description.volume31
dc.identifier.doi10.1111/j.1467-8659.2012.03180.x
dc.identifier.issn1467-8659en_US
dc.identifier.urihttps://doi.org/10.1111/j.1467-8659.2012.03180.xen_US
dc.publisherThe Eurographics Association and Blackwell Publishing Ltd.en_US
dc.subjectI.3.5 [Computer Graphics]en_US
dc.subjectComputational geometry and object modelingen_US
dc.subjectPhysically based modelingen_US
dc.titleTime-Discrete Geodesics in the Space of Shellsen_US
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