A New hybridMethod for Noise Robust Estimation ofImageFractal Dimension

Thispaper presents a modified model to calculate the fractal dimension of digital images. Theestimation of fractal dimensions is crucial to fractal analysis and is popularly carried out through methods based on box counting. The problem with these approaches is that, most of them do not remove the potential effects of noise on fractal dimensions properly. Accordingly, this study examines the effects of three different type of noises on fractal dimensions using different images taken from Background image database. The examination shows thatthe fractal dimensions change significantly, after noise adding,so we put forward a noise-robust and efficient fractal dimension calculation methodwhichis a combination of two methods,the gray-level co-matrix algorithm and improved box counting method. Theresults of experiments on the Background image dataset confirm the robustness and efficiency of the proposed method.