In this paper, special memristor circuit and memristive retina network structure for analogue image processing have been presented. The new developments on memristor element have opened various possibilities due to its being in nano-scale and having nonlinear behavior. The proposed memristor emulator consists of only one Operational Transconductance Amplifier (OTA) and two MOS transistors which are operated in sub-threshold region. The memristor fuse structure is obtained by connecting two proposed memristor emulators. In the second section of our paper, we proposed a circuit block which is composed of 16 x 16 pixels retinomorphic memristive grid to maintain a smoothed and edges preserved image. All simulation results for both proposed memristor circuits and retinomorphic grid are obtained as expected. (C) 2018 Elsevier GmbH. All rights reserved.