Abstract: Fractal dimension is an import metric for the description of the complexity of color images,widely used to extract characteristics of image and classify,segment or index images.Many approaches to calculate fractal dimension for grayscale images or binary images have been proposed,but very few methods are for color images.A method with simplicity and automatic computability of fractal dimension estimation was presented for color images,which extends the differential box-counting method to 5-D euclidian hyper-space.The experiments demonstrate that the proposed method is able to capture the complexity of color images,and outperforms the others in terms of identifying the roughness of color textures and the computational accuracy.

Key words: Fractal dimension,Color image,Differential box-counting,Texture