Prior information directed stage-wise measurement matrix design for block compressed image sensing

A key issue for compressed Sensing (CS) is to design the measurement matrix. However, the traditional measurement matrix is not optimal due to its non-adaptability without showing discrimination to different components. In this paper, a prior information directed stage-wise measurement matrix is proposed for block compressed image sensing, leading to a st-BCS method. In the first stage, the measurement matrix only takes measurements of the important low frequency components directed by the prior structure information, and then it is updated stage by stage according to the prior information obtained at the decoder side via a feedback. Experimental results show that our st-BCS achieves significant performance improvement over the state-of-art BCS scheme which uses the non-adaptive random matrix.