抄録
This paper explores the use of the iterated function system (IFS) as a geometric representation for the interpolation of 2-D shapes. It focus on the interpolation of the linear fractal shapes whose IFS attractors consisting of same number of affine transformations maps. Metamorphosis of shapes described by the IFS representation involves interpolation of the IFS maps. Iterated function system define shapes using self-transformations, and interpolation of these shapes requires interpolation of these transformations. A fast and new image based technique for determining the connectedness of an iterated function system attractor is proposed based on polar decomposition. Polar decomposition is suggested to use for interpolation because it avoids singular intermediate transformations and better simulate articulated motion. Polar decomposition factors have physical and visual interpretation which are not found in other decomposition methods.
