Compressed sensing is applied to multiview image sets and inter- image disparity compensation is incorporated into image recon- struction in order to take advantage of the high degree of inter- image correlation common to multiview scenarios. Instead of re- covering images in the set independently from one another, two neighboring images are used to calculate a prediction of a tar- get image, and the difference between the original measurements and the compressed-sensing projection of the prediction is then re- constructed as a residual and added back to the prediction in an iterated fashion. The proposed method shows large gains in per- formance over straightforward, independent compressed-sensing recovery. Additionally, projection and recovery are block-based to signicantly reduce computation time.