Partial Encryption with Data Hiding Performed On-The-Fly on Compressed Sensed Measurements

Single Pixel Cameras (SPC) deploy the Compressive Sensing (CS) theory to sequentially acquire data directly in a compressed format (measurements). This paper proposes a method to perform reversible data hiding (RDH) with partial encryption in CS measurements by encrypting part of them using a secret key and then inserting the resulting values on-thefly in the following eligible measurements. The insertion results in visible distortion, while the images reconstructed based on the marked measurements still have discernible content. Without performing a decryption an unauthorized user can only obtain a low quality version of the original image. The simulation results show that the capacity and distortion are directly linked, while the number of insertion levels also determines the image distortion. The proposed modifications to the prediction error expansion algorithm adapt it for usage in a SPC scenario while limiting the data expansion.