Optimizing Texture Primitives Description Based on Variography and Mathematical Morphology

Abstract

This paper proposes a novel method of optimising texture primitives detection based on the mathematical morphology. Indeed, successful textural analysis relies on the careful selection of the adapted window size. We use variography to optimise the shape of structuring elements to fit the shape of the unit patterns that form a texture. The variogram is essentially a “variance of differences” in the values as a function of the separation distance. This variance therefore changes as the separation distance increases where repetitive structures are described as hole-effects. We used the local minima (hole-effects) to find size, shape an orientation of unit pattern of image textures and thus to determine the optimal structuring element which will be used in mathematical morphological texture analysis. Some of Brodatz’s natural texture images have been used for evaluating the performance of the structuring elements found in the characterisation and discrimination of the texture aspects of images. Promising results are obtained and presented.