Bended Surfaces for Ray Tracing: A Fast View-Dependent Algorithm

We present a fast view-dependent algorithm for ray tracing bended surfaces deened by triangular F-patches. We give up the notion of uniqueness for the surfaces, i.e., a plane containing the ray innuences the shape of the surface. However, the resulting surfaces appear smooth and continuous to the observer. F-patches can be joined G 1-continuous. The method both has low memory consumption and fast run times, which we document with experiments. The algorithm also allows to render S-shaped surfaces over a single triangle and produces smooth and continuous silhouettes and shadow boundaries.