Offsetting and blending with perturbation functions

Abstract

Free forms synthesized by means of the perturbation functions are proposed. the problem of mapping a two-dimensional texture array to curved surfaces defined by perturbation functions is considered. surface patterns are created by interactions between texture and surface. the synthesis a 2d and 3d texture array onto curvilinear surfaces is solved. For shape creating, we propose a set of algorithms and software based on function-defined surfaces that perform an interactive rate and enable intuitive operations.