Abstract:Based on the standard compressed sensing, the model-based Compressed Sensing (CS) uses the tree structure priors, and solves the optimal reconstruction problem with two existing tree structure approximation which are greedy tree approximation and optimal tree approximation. Through numerous statistics test of wavelet relationship, a new tree structure which is named reasonable tree structure is proposed, which is based on the relationship between neighbor coefficients, parent coefficients and children coefficients. What is more, combining with the new reasonable tree structure, an improvement is made for the iterative hard threshold reconstruction algorithm and model-based compressed sensing reconstruction algorithm. Comparing with the iterative hard threshold algorithm and model-based compressed sensing algorithm, the proposed algorithm can achieve higher image reconstruction performance.