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A simple differential equation method is proposed for modeling the aesthetic features of human hair. In the method, a simplified cantilever beam simulation is employed for hairstyle modeling, which allows hairdressing variations with volumetric and realistic appearance. In order to describe the dynamical behavior of hair in an animation, one-dimensional projective differential equations of angular momenta for linked rigid sticks are also derived. For the problem of collision detection between hair and a human head, the "rough" approximate solution is provided, which gives visually satisfactory results by solving the projective equations under a ps~udo-force field. The hair's pliability can be controlled by using a set of stiffness parameters in the method. In addition, a fast rendering technique for anisotropic reflection is introduced, which is derived from Blirm's specular model. The efficiency of the proposed method is illustrated by the still images and short animations obtained.
Anjyo et al. (Wed,) studied this question.