Surface design via deformation of periodically swept surfaces

Abstract

In this paper sinusoidal functions are introduced to blend several contour curves to produce periodic sweep surfaces. As the basic sinusoidal functions only produce uniform periodic shapes, we introduce a unity-bounded deformation function to replace the argument of the sinusoidal functions. The deformation function provides an intuitive way to deform periodic surfaces. The technique requires only a single function to control multiple contours. The simple and intuitive control provided by the deformation function encourages users to explore alternative aesthetic designs. Variation in natural objects, such as flowers and fruits, can easily be modeled via small and random variations of the deformation function.