Image denoising method based on shearlet transformation and Wiener filtering

A Wiener filter and image technology, applied in the field of image denoising based on shearlet transform and Wiener filter, can solve the problems of unsatisfactory image denoising effect, image distortion, etc., to overcome unsatisfactory denoising effect, accurate analysis, Good suppression effect

Active Publication Date: 2013-01-23
XIDIAN UNIV
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Problems solved by technology

[0006] The purpose of the present invention is to propose an image denoising method based on shearlet transform and Wiener filtering for the shortcomi

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  • Image denoising method based on shearlet transformation and Wiener filtering
  • Image denoising method based on shearlet transformation and Wiener filtering
  • Image denoising method based on shearlet transformation and Wiener filtering

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specific Embodiment approach

[0035] Reference figure 1 The specific implementation of the present invention is as follows:

[0036] Step 1. Input source image

[0037] Use matlab software in the computer to read the source image stored in the computer hard disk space.

[0038] Step 2, symmetrical expansion

[0039] In order to avoid the boundary effect that may occur in the denoising process of the image after the shear transformation, the present invention firstly expands the source image symmetrically in the horizontal and vertical directions.

[0040] 2a) Expand the source image horizontally and symmetrically, take one of the two vertical boundary lines of the image as the symmetry axis, and map the image to the other side of the symmetry axis according to the horizontal expansion formula to obtain a horizontally expanded image;

[0041]

[0042] Among them, f(i,j) is the gray value of the source image at the coordinate (i,j) position, n is the number of columns of the source image, f h (i, j) is the gray value o...

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Abstract

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; and therefore, detailed information of the image can be analyzed more accurately in high-frequency coefficients in different directions of the image. Finally, a high-quality denoised image is obtained.

Description

Technical field [0001] The present invention belongs to the technical field of image processing, and further relates to an image denoising method based on shearlet transform and Wiener filtering in the field of image preprocessing. It can be applied to denoise optical grayscale images containing Gaussian white noise to obtain clearer images with high signal-to-noise ratio. The invention can effectively reduce the noise in the image when applied to image analysis and image preprocessing, especially for images containing Gaussian noise, can achieve better denoising effects, and can better meet the requirements of human visual psychology and practical applications . Background technique [0002] In the field of image preprocessing, in order to remove the Gaussian white noise contained in the original image, to obtain a clear image with high quality and high signal-to-noise ratio, and to provide favorable conditions for image post-processing, an image denoising method is adopted. A...

Claims

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Application Information

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IPC IPC(8): G06T5/10
Inventor 苗启广许鹏飞陈为胜刘如意宋建锋权义宁刘天歌
Owner XIDIAN UNIV
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