Generalized Helicoids for Hair Modeling

Recently, Savadjiev et al. introduced a generalized helicoid as an osculating object to characterize near parallel 3D curve patterns. This new model allows for patterns of different kinds to be examined and generated via three curvature parameters. The parameterization can be efficiently used to model hair strands. We present an investigation of the usability of the generalized helicoid model for the synthesis of hair patterns. Recurring problems in hair graphics are addressed, including the synthesis of different hair styles, the interpolation of hair strands at run-time, and the control of the growth parameters such as density of sampling and curvature variation.