Abstract
This paper presents a novel representation method for contour shape using Fractal Interpolation Functions (FIF). In the traditional idea of the FIF, the scope of its application has been limited to the case where the signal is represented by single-valued function. Therefore the traditional FIF cannot be applicable to multiple-valued signals. This proposed method can model a multiple-valued signal with an extended FIF derived by introducing new parameters to the traditional one. Furthermore the fractal dimension known as a measure of complexity is used to determine the parameters needed by the FIF and thereby the signal can be modeled based on its complexity. Experimental results show the validity of the proposed method.
