Abstract：The L0 norm is the optimal way to measure the sparsity of data,however it is difficult to solve the L0 due to its non convexity.This paper introduce smoothed L0 norm (SL0) into the Radon transform to overcome the difficulty of solving and further to improve the resolution of Radon transform.We first use smoothed continuous functions as objective functions of the parabolic Radon transform to approximate the L0 norm,and then we use the steepest descent method and gradient projection principle to approach the optimal solution.Experiments on both theoretical model and field data show that the proposed method not only improves the resolution of Radon transform,but also restores the continuity of seismic data and AVO characteristics.
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