In this digital era, securing multimedia information is receiving its due concern apart from securing textual data. Securing the image by utilising integer wavelet transform is the chief curiosity of the proposed work. This research work is envisioned to explore the use of reversible integer wavelet transforms (IWTs) for designing robust image encryption algorithm. The proposed exploration comforts to seal the gap in the space in between image encryption and the existing robust IWT. Ten different IWT namely Haar, 5/3, 2/6, 9/7-M, 2/10, 5/11-C, 5/11-A, 6/14, 13/7-T, 13/7-C are used for the analysis. Four keys utilised for image scrambling and image diffusion are generated with the help of the proposed combined chaotic system. Image scrambling is performed only on the approximation coefficients to get full image scrambling and bit XOR is used for image diffusion. This proposed method provides NPCR value as 99.6246%, UACI value as 33.5829, entropy value as 7.997 and very less correlation values. Simulation results prove that image encryption technique can be designed with various integer wavelet transforms.