Fractal modeling of time-series data

Linear fractal interpolation provides a meam of constructing a function which is continuous, passes through a given set of interpolation points and uses affine transformations fo: the iterated function system. The resulting interpolatiok function is self-affine and may have non-integer dimension. In this paper, we develop an algorithm for determining the parameters needed for linear fractal interpclation so that a fractal function will closely match a given function. Thm method of modeling is applied to image contours of mountains and results indicate that this data is well-modeled with fractal interpolation.