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In order to improve the resolution and positioning accuracy of multiple sound sources in acoustic image measurement,a near-field deconvolution focus beamforming acoustic image measurement method is presented. The near-field two-dimensional generalized convolu?tion mathematical model is established. It is among the conventional acoustic image measure-ment results,the objective function,and the array directivity function. The point spread func-tion is shift-variant in the acoustic image measurement,but it is predictable. The beamforming can be achieved by convolution operation. And the convolution operation can be translated into the original superposition integral problem by the pre-storing point spread function dictionary.Richardson-Lucy iterative algorithm has the ability of deconvolution. For the near-field acoustic image deconvolution problem,a two-dimensional algorithm is adopted,and the high-resolution acoustic image measurement processing is realized. The performance of deconvolution,conven-tional and MVDR acoustic image measurement is compared by simulation and sea test. The results show that the focus peak size of the proposed algorithm is less than 1/2 of the other two algorithms when the RL algorithm in 500 iterations. The side lobe level drops by more than 6dB.