Systematic studies have been carried out on pure p-n-nonyloxy benzoic acid and dispersed citrate capped gold nanoparticles in low molar concentration. The phase transition temperatures are acquired from polarizing thermal microscope and differential scanning calorimeter, which are found to reduce with the increase in concentration of nanoparticles. Low contrast images from POM are enhanced with proposed methods of advanced recursive separated exposure-based sub-image histogram equalization (ARS-ESIHE) and advanced recursive exposure-based sub-image histogram Equalization (AR-ESIHE). The image enhancement performance characteristics are analyzed using statistical parameters like mean square error (MSE), peak signal-to-noise ratio (PSNR), standard deviation (SD) and entropy.