A generalized fractal dimension and its application to texture analysis-fractal matrix model

A new type of fractal feature, called the fractal matrix, is proposed and applied to texture analysis. The feature is defined as a matrix (F-matrix) satisfying the vector scaling equation. The conventional fractal dimension is scalar-valued and does not contain sufficient image information. This defect is overcome by the F-matrix. The effectiveness of the F-matrix model for texture analysis has been demonstrated experimentally.>