Maze91

D. S. Mazel. Fractal Modelling of Time-Series Data. PhD Thesis Georgia Institute of Technology, 1991.

Abstract

Linear fractal interpolation provides a means of constructing a function which is continuous, passes through a given set of interpolation points and uses affine transformations for the iterated function system. The resulting interpolation 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 interpolation so that a fractal function will closely match a given function. This method of modeling is applied to image contours of mountains and results indicate that this data is well-modeled with fractal interpolation.

BibTex Reference

@PhdThesis{Maze91,
   Author = {Mazel, D. S.},
   Title = {Fractal Modelling of Time-Series Data},
   School = {Georgia Institute of Technology},
   Year = {1991}
}