Three-Dimensional Deformation Using Directional Polar Coordinates

Abstract

Spatial deformation is an important tool in both computer animation and shape design. In this paper, we present a new three-dimensional deformation method using directional polar coordinates. The user specifies a source control object and a destination control object, which act as embedding spaces. The source and the destination control objects determine a three-dimensional volume morphing which maps the space enclosed in the source control object to that of the destination control object. By embedding the object to be deformed into the source control object, the three-dimensional volume morphing determines the deformed object automatically without the cumbersome moving of control points. Experiments show that this deformation model is efficient and intuitive, and it can achieve some deformation effects which are difficult with traditional methods.