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dc.contributor.authorBarton, Michaelen_US
dc.contributor.authorShi, Lingen_US
dc.contributor.authorKilian, Martinen_US
dc.contributor.authorWallner, Johannesen_US
dc.contributor.authorPottmann, Helmuten_US
dc.contributor.editorI. Navazo, P. Poulinen_US
dc.date.accessioned2015-02-28T15:21:08Z
dc.date.available2015-02-28T15:21:08Z
dc.date.issued2013en_US
dc.identifier.issn1467-8659en_US
dc.identifier.urihttp://dx.doi.org/10.1111/cgf.12020en_US
dc.description.abstractWe 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.publisherThe Eurographics Association and Blackwell Publishing Ltd.en_US
dc.subjectComputer Graphics [I.3.5]en_US
dc.subjectComputational Geometry and Object Modelingen_US
dc.titleCircular Arc Snakes and Kinematic Surface Generationen_US
dc.description.seriesinformationComputer Graphics Forumen_US


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