Abstract
This paper presents a novel expansion technique for self-affine fractal objects using Extended Fractal Interpolation Functions (EFIF). When EFIF is applied to a given object, the map parameter, which play a significant role to represent the object, must be determined by solving the inverse problem. However, the inverse problem concerned with the expanded object which associates with the given object cannot be solved, since the expanded object includes unknown data which must be interpolated. Therefore, in this paper, we demonstrate a flexible property that the map parameter concerned with the expanded object can be simply described by using those concerned with the given object. Using such flexible property in our EFIF, a given self-affine fractal object can be easily expanded with an arbitrary rate.
