Application of Fractal Matrix to Texture Classification

Abstract

Fractal models have been widely applied to image processings and related fields. However, fractal application to image analysis have not been successful adequately. Because, conventional fractal feature --- fractal dimension--- is scalar valued, and it is difficult to discriminate various image information using them. In this paper, fractal matrix model, which is proposed to overcome this drawback, is applied to texture analysis. The fractal matrix is a Hermite matrix, and abundant information compared with fractal dimension. The matrix elements are estimated by the least square method. The texture image analyzing experiments showed the effectiveness of the fractal matrix as an image model and image feature.