A Model for Anisotropic Re ection

A reeection and refraction model for anisotropic surfaces is introduced. The anisotropy is simulated by small cylinders (added or subtracted) distributed on the anisotropic surface. Diierent levels of anisotropy are achieved by varying the distance between each cylinder and/or rising the cylinders more or less from the surface. Multidirectional anisotropy is modelled by orienting groups of cylinders in diierent direction. The intensity of the reeected light is computed by determining the visible and illuminated portion of the cylinders, taking self-blocking into account. We present two techniques to compute this in practice. In one the intensity is computed by sampling the surface of the cylinders. The other is an analytic solution. In the case of the diiuse component , the solution is exact. In the case of the specular component, an approximation is developed using a Cheby-shev polynomial approximation of the specular term, and integrating the polynomial. This model can be implemented easily within most rendering system, given a suitable mechanism to deene and alter surface tangents. The eeectiveness of the model and the visual importance of anisotropy are illustrated with some pictures.