In the wavelet threshold function,the image cannot be restored optimally due to the discontinuity between signals and the error between the estimated wavelet coefficients and the wavelet coefficients of the original signal.To solve the problem,an improved Collaborative Quantum Particle Swarm Optimization (CQPSO) method is proposed to optimize the wavelet function.The method introduces adaptive shrinkage expansion factor on the basis of the CQPSO,optimizes the adjustment factors and thresholds in wavelet threshold function by the improved CQPSO.The simulation images and data show that the algorithm successfully reduces the distortion of useful signals,and improves the effect by 5%~10% compared with other algorithms under the evaluation standard of signal-to-noise ratio.Under the evaluation standard of Root Mean Square Error(RMSE),the effect of the algorithm is improved by 16% to 20% compared with that of other algorithms, which has better practical value.