An Improved Algorithm for Image Fractal Dimension

Zifan Yu 1 and Lihong Hu 2 +
1 School of Resource & Environment Science, Wuhan University, Wuhan 430079, China
2 School of Remote Sensing & Information Engineering, Wuhan University, Wuhan 430079, China

Abstract. There are several methods to estimate fractal dimension in fractional Brownian motion model. In this paper, one of methods, the variance method, is analyzed detailedly, and some problems in the method are pointed out. To resolve the problems, an improved method is proposed. To validate the method, a comparing experiment of two methods is designed. In the experiment, a SPOT image is selected and five categories, flourishing field, bareness land, resident area, water area and mountainous area, in the image are taken as examples. The experiment shows that the result by improved method is coincident with human perception and the improved method is also helpful for classification.

Keywords: fractal dimension, fractional Brownian motion, texture, classification

In: Wan, Y. et al. (eds) Proceeding of the 8th international symposium on spatial accuracy assessment in natural resources and environmental sciences, World Academic Union (Press).