This paper proposes a cross dual-domain filter to denoise multi-modal images and to address the poor performance of the time domain join filtering algorithm for multi-mode images. To maximize the use of complementary information at the edges of a multi-modal image

the proposed algorithm uses a cross bilateral filter in the time domain. Afterward

the residue is filtered using a wavelet shrinkage algorithm in the frequency domain to recover the detail texture information. The two domain results are then superimposed. The iteration between the time and frequency domains is constructed on this basis. The end result is progressively obtained by iteration over the adjusted parameters. Compared with the current noise-filtering methods that are based on either the single domain or single mode

the proposed algorithm shows great advantage in terms of visual quality

edge sharpness

and detail

and PSNR indicator. The proposed algorithm can effectively use the complementary information between multi-mode images and combine the advantages of both the time and frequency domain methods. The negative ring bell effect can be effectively suppressed through the iteration.