Aimed at the details vague problem of Block Compressed Sensing-Smooth Projected Landweber compressed sensing reconstruction of core images, a Block Compressed Sensing-Smooth Projected Landweber compressed sensing reconstruction of core images using information entropy is proposed. The method introduces discrete wavelet transform into the sparse representation and conducts multiscale block for each subband, and then adaptively allocates the sampling rates and determines the measurement matrix. The reconstruction can be achieved by Wiener filter combined with Landweber iterative. The experimental results show that the reconstruction quality is improved by 2-4dB compared with that of Block Compressed Sensing-Smooth Projected Landweber under the same sampling rates.