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Image denoising method and system based on total variation and wavelet transformation

A technology of wavelet transform and total variation, applied in the field of image processing, can solve problems such as poor image noise suppression effect

Active Publication Date: 2015-10-21
BEIJING JIAOTONG UNIV
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Problems solved by technology

[0005] The technical problem to be solved by the present invention is to provide an image denoising method and system based on total variation and wavelet transform, to solve the problem of poor image noise suppression in the prior art, so as to obtain higher image quality

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  • Image denoising method and system based on total variation and wavelet transformation

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Embodiment Construction

[0042] In order to illustrate the present invention more clearly, the present invention will be further described below in conjunction with preferred embodiments and accompanying drawings. Similar parts in the figures are denoted by the same reference numerals. Those skilled in the art should understand that the content specifically described below is illustrative rather than restrictive, and should not limit the protection scope of the present invention.

[0043] The invention discloses an image denoising method based on total variation and wavelet transform. The specific steps of the method are as follows:

[0044] Step 1: Haar wavelet transform is performed on the original image to be denoised.

[0045] The coefficient to transform the original image into the wavelet domain is: u=W T x, where x is the column vector formed by rearranging the image matrix by column, W is the Haar wavelet transformation matrix, and u is the coefficient for transforming the image x into the w...

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Abstract

The invention discloses an image denoising method and system based on total variation and wavelet transformation. The method comprises the steps of performing wavelet transformation of an obtained to-be-denoised original image, so as to obtain a low frequency wavelet coefficient, and high frequency coefficients in a horizontal direction, a vertical direction and an oblique direction of the original image; establishing a total variation model within a wavelet domain; and solving the established total variation model based on an iterative algorithm to obtain the optimal solution. According to the invention, the total variation model is directly established in the wavelet domain and solved for image denoising for the first time, so that good combination of two types of image processing methods is achieved; the staircase effect caused by the total variation method and the Gibbs phenomenon caused by the wavelet threshold shrinkage can be well overcome; and edge feature information of the image can be effectively maintained during denoising, and the good image quality is provided for subsequent processing.

Description

technical field [0001] The invention relates to image processing, in particular to an image denoising method and system based on total variation and wavelet transform. Background technique [0002] The image is inevitably affected by noise during the acquisition process. The total variation (TV) image denoising method is currently an effective denoising method. The image is regarded as a model of piecewise constants, the total variation model is established, and iterative calculation is realized. Image denoising. However, the total variation method uses gradient information for optimization, which inevitably brings about a step effect. The wavelet transform method can remove the step effect, but the wavelet denoising method will cause Gibbs phenomenon. [0003] At present, there are existing denoising methods based on total variation and wavelet. Some methods use total variation and wavelet methods in different parts of the image, and some methods perform equivalent process...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06T5/00
Inventor 申艳解颐郝晓莉张超陈后金闻映红张金宝
Owner BEIJING JIAOTONG UNIV
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