Time-Discrete Geodesics in the Space of Shells
| dc.contributor.author | Heeren, Behrend | en_US |
| dc.contributor.author | Rumpf, Martin | en_US |
| dc.contributor.author | Wardetzky, Max | en_US |
| dc.contributor.author | Wirth, Benedikt | en_US |
| dc.contributor.editor | Eitan Grinspun and Niloy Mitra | en_US |
| dc.date.accessioned | 2015-02-28T07:44:15Z | |
| dc.date.available | 2015-02-28T07:44:15Z | |
| dc.date.issued | 2012 | en_US |
| dc.description.abstract | Building 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.seriesinformation | Computer Graphics Forum | en_US |
| dc.description.volume | 31 | |
| dc.identifier.doi | 10.1111/j.1467-8659.2012.03180.x | |
| dc.identifier.issn | 1467-8659 | en_US |
| dc.identifier.uri | https://doi.org/10.1111/j.1467-8659.2012.03180.x | en_US |
| dc.publisher | The Eurographics Association and Blackwell Publishing Ltd. | en_US |
| dc.subject | I.3.5 [Computer Graphics] | en_US |
| dc.subject | Computational geometry and object modeling | en_US |
| dc.subject | Physically based modeling | en_US |
| dc.title | Time-Discrete Geodesics in the Space of Shells | en_US |