Generalized Helicoids for Modeling Hair Geometry

dc.contributor.authorPiuze, Emmanuelen_US
dc.contributor.authorKry, Paul G.en_US
dc.contributor.authorSiddiqi, Kaleemen_US
dc.contributor.editorM. Chen and O. Deussenen_US
dc.date.accessioned2015-02-27T10:20:36Z
dc.date.available2015-02-27T10:20:36Z
dc.date.issued2011en_US
dc.description.abstractIn computer graphics, modeling the geometry of hair and hair-like patterns such as grass and fur remains a significant challenge. Hair strands can exist in an extensive variety of arrangements and the choice of an appropriate representation for tasks such as hair synthesis, fitting, editing, or reconstruction from samples, is non-trivial. To support such applications we present a novel mathematical representation of hair based on a class of minimal surfaces called generalized helicoids. This representation allows us to characterize the geometry of a single hair strand, as well as of those in its vicinity, by three intuitive curvature parameters and an elevation angle. We introduce algorithms for fitting piecewise generalized helicoids to unparameterized hair strands, and for interpolating hair between these fits. We showcase several applications of this representation including the synthesis of different hair geometries, wisp generation, hair interpolation from samples and hair-style parametrization and reconstruction from real hair data.en_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.identifier.issn1467-8659en_US
dc.identifier.urihttps://doi.org/10.1111/j.1467-8659.2011.01856.xen_US
dc.publisherThe Eurographics Association and Blackwell Publishing Ltd.en_US
dc.titleGeneralized Helicoids for Modeling Hair Geometryen_US
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