An efficient visually meaningful image compression and encryption scheme based on compressive sensing and dynamic LSB embedding

•An efficient visually meaningful image compression and encryption (VMICE) scheme is proposed by combining compressive sensing (CS) and Least Significant Bit (LSB) embedding.•In pre-encryption, a compressed secret image is obtained by use of CS and Zigzag confusion – the resolution of the image is reduced and the data content is protected.•Dynamic LSB embedding process is controlled by random chaotic sequences generated from a 3-D Cat map, and out-of-order embedding increases the difficulty of the decoding process.•The adoption of LSB embedding allows for carrier image to be selected independently of plain image.