The stagewise weak orthogonal matching pursuit algorithm is a kind of compression reconstruction algorithm without signal sparsity, but the choice of atomic set is not optimal. Aiming at this shortcoming, a new method of regularized weak orthogonal matching pursuit algorithm is proposed. The algorithm is improved based on the segmentation and weak orthogonal matching pursuit algorithm, and the atomic set is filtered for two times, namely the regularization principle. The experimental results show that, under the same conditions, compared with the original algorithm, the improved algorithm has a certain degree of improvement in the reconstruction precision.