On the Relation between Second-Order Statistics, Connectivity Analysis, and Percolation Models in Digital Textures

Abstract

It can be shown that a wide family of digital textures corresponds to percolation models (Pikaz and Averbuch, 1996, Technical Report 315/96, Tel-Aviv University). Percolation models supply statistical results and theoretical background for connectivity analysis. This paper focuses on the relation between second-order statistics (which are very common in use for digital texture analysis) and connectivity analysis. The paper also presents additional evidences to the tight relation between digital textures and percolation models.