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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.>
Hiroshi Kaneko (2003) studied this question.