The paper presents the results of volume resistivity measurements of filled polymers under compressive strain. Black carbon of industrial grades is selected as an electrically conductive component, and serially produced rubbers are selected as a matrix. Structure microphotographs are used to calculate parameters for further textural and fractal analysis. Textural features and entropy of textural features are evaluated from the joint distribution histogram of the second order brightnesses. Quantitative assessment of fractal structure is obtained from a generalized Renyi dimension spectrum. Additionally, an approach for calculation of a generalized Renyi dimension spectrum based on image texture has been used. It is demonstrated that electrical conductivity under the compressive strain of selected research objects can be evaluated by the macrostructure textures with textural parameters being effective indicators of electrical conductivity dynamics. A type of textural parameters depends on the nature of compressive strain — a cyclic strain, single-stage compression in a given range, etc. The results of textural parameters measurement and parameters of fractal analysis evaluated by image textures are provided.