Abstract: To improve the quality of reconstructed images，it is necessary to determine the decomposition scale K value and the effective intrinsic mode function in 2D-VMD ( Two Dimensional Variational Mode Decomposition) algorithm，a new algorithm combined 2D-VMD and CC ( Correlation Coefficient) is proposed and used to reconstruct image． Firstly，the image signal is decomposed into sub-modes of different central frequencies by 2D-VMD． Then，the CC value of the decomposed Intrinsic Mode Function ( IMF) and the original image function is calculated to determine the effective Intrinsic Mode component according to the CC criterion．Finally，image denoising is achieved by reconstruct with effective intrinsic modal component． Simulation results show that the decomposition scale K and the effective sub-modes can be obtained through combined 2D-VMD and CC，which has high image reconstruction accuracy and improved image quality．

Key words: two dimensional variational mode decomposition, correlation coefficient, image denoising, modal reconstruction