SURFACE DESIGN VIA DEFORMATION OF PERIODICALLY SWEPT SURFACES

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