Image denoising method based on shearlet transformation and Wiener filtering

The invention discloses an image denoising method based on shearlet transformation and Wiener filtering. The method comprises the following steps of: (1) source image input; (2) symmetric extension; (3) shear transformation; (4) wavelet packet decomposition; (5) Wiener filtering; (6) inverse wavelet packet transformation; (7) inverse shear transformation; (8) inverse symmetry transformation; (9) image fusion; and (10) denoised image output. By the image denoising method, the defect that the anisotropic information of an image cannot be expressed very well by the wavelet transformation in the prior art is overcome; the problem that a denoising effect is non-ideal because coefficients are subjected to the same processing in different directions by using a single threshold is solved; the advantages that the shearlet transformation has multi-directionality, the output of a filter can be adjusted by the Wiener filtering according to the regional variance of the image and the like are utilized ...