Fractal Interpolation

Abstract

In this paper a method is developed to reduce fractal dimension measurement error. A process termed fractal interpolation is introduced. Fractal interpolation is a new fractal dimension measurement algorithm that utilizes the compass walking technique. It is unique in that it uses a measured data set to generate a larger fractal set. The improvement is demonstrated by creating fractal data sets of prescribed fractal dimension, and measuring them utilizing the new and old methods, and comparing the results. The consequence of this improvement to the problem of predicting vehicle impacts on rough road surfaces is demonstrated.