Compressing Encrypted Image Using Compressive Sensing

Abstract

This work proposes a novel scheme of compressing and decompressing encrypted image based on compressive sensing. An original image is encrypted as a set of coefficients by a secret orthogonal transform. Since the image has sparse representation in conventional transform domain and can be recovered from a small quantity of measurements, the encrypted image data are compressed into a series of measurement data. Using signal recovery method of compressive sensing, a receiver can reconstruct the principal content of original image. This way, the quality of reconstructed image is dependent on the compression rate and the smoothness of original content.