Circular Arc Snakes and Kinematic Surface Generation
| dc.contributor.author | Barton, Michael | en_US |
| dc.contributor.author | Shi, Ling | en_US |
| dc.contributor.author | Kilian, Martin | en_US |
| dc.contributor.author | Wallner, Johannes | en_US |
| dc.contributor.author | Pottmann, Helmut | en_US |
| dc.contributor.editor | I. Navazo, P. Poulin | en_US |
| dc.date.accessioned | 2015-02-28T15:21:08Z | |
| dc.date.available | 2015-02-28T15:21:08Z | |
| dc.date.issued | 2013 | en_US |
| dc.description.abstract | We discuss the theory, discretization, and numerics of curves which are evolving such that part of their shape, or at least their curvature as a function of arc length, remains unchanged. The discretization of a curve as a smooth sequence of circular arcs is well suited for such purposes, and allows us to reduce evolution of curves to the evolution of a control point collection in a certain finite-dimensional shape space. We approach this evolution by a 2-step process: linearized evolution via optimized velocity fields, followed by optimization in order to exactly fulfill all geometric side conditions. We give applications to freeform architecture, including ''rationalization'' of a surface by congruent arcs, form finding and, most interestingly, non-static architecture. | en_US |
| dc.description.seriesinformation | Computer Graphics Forum | en_US |
| dc.identifier.issn | 1467-8659 | en_US |
| dc.identifier.uri | https://doi.org/10.1111/cgf.12020 | en_US |
| dc.publisher | The Eurographics Association and Blackwell Publishing Ltd. | en_US |
| dc.subject | Computer Graphics [I.3.5] | en_US |
| dc.subject | Computational Geometry and Object Modeling | en_US |
| dc.title | Circular Arc Snakes and Kinematic Surface Generation | en_US |