Revision of multifractal descriptors for texture classification based on mathematical morphology

This paper examines 2D multifractal model based on operations taken from mathematical morphology. Firstly, there is given an extension of the existing multifractal model based on Legendre transform and dilation and complementary model using erosion is investigated. Two additional methods are proposed by introducing a new definition of local multifractal measures and two realizations of coverings of local dimensions images used for calculation of global dimensions. One of local measures is implemented using dilation and the other using erosion. Derived multifractal spectra are used as descriptors of textural images. Experiments conducted on referent textural datasets and in comparison to state of the art descriptors provide classification results of proposed descriptors that exceed performance of both multifractal and non-fractal descriptors from literature. (C) 2016 Elsevier B.V. All rights reserved.