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Image noise reduction method based on complex quaternion wavelets

A complex quaternion and image noise reduction technology, applied in the field of image processing, can solve the problems of image color distortion, limited noise reduction results, distortion, etc., and achieve the effect of improving the quality of noise reduction and solving the problem of color distortion

Active Publication Date: 2020-06-23
HUAIYIN TEACHERS COLLEGE
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Problems solved by technology

Using the above method to denoise the color image by channel cannot effectively determine the threshold model, and the denoising results are limited
[0005] Second, after sub-channel denoising, the integrated noise-reduced image has image color distortion and distortion, and cannot fully restore the details of the color image
[0006] Third, using the traditional method to reduce noise by channel will also introduce new noise, which is mainly caused by different noise reduction thresholds used in different color channels. An intuitive visual perception is color distortion

Method used

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  • Image noise reduction method based on complex quaternion wavelets
  • Image noise reduction method based on complex quaternion wavelets
  • Image noise reduction method based on complex quaternion wavelets

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[0033] In order to facilitate the understanding and implementation of the present invention, the technical solution of the present invention will be further described in detail in conjunction with the accompanying drawings and embodiments. The present invention proposes an image denoising method based on complex quaternion wavelet, such as figure 1 Shown, the technical scheme that the present invention takes is as follows:

[0034] In step S1, the noise-contaminated color image is represented by a complex quaternion, and the mathematical formula for using the complex quaternion to characterize the color image is:

[0035] f=(f R ·i+f G ·j+f B k)+(f R ·i+f G ·j+f B ·k)·I

[0036] where f R , f G and f B are the R, G, and B color components of the color image, respectively, and i, j, k, and I are the imaginary units of the complex quaternion, and the operation rules are:

[0037] i 2 =-1,j 2 =-1,k 2 =-1, I 2 =-1, ij=-ji=k, jk=-kj=i, ki=-ik=j.

[0038] Step S2, us...

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Abstract

The invention discloses an image noise reduction method based on complex quaternion wavelets, and belongs to the technical field of image processing. According to the method, definitions of complex quaternion wavelet transform and inverse transform are provided, a corresponding discretization method is provided, and a feasible scheme is provided for solving the color distortion problem in the color image noise reduction process. The method comprises the following steps: representing a noise image by using a complex quaternion; carrying out complex quaternion wavelet transform processing; carrying out quantization threshold noise reduction; carrying out complex quaternion wavelet inverse transform processing; according to the invention, sub-band decomposition and reconstruction are carriedout on an image by using complex quaternion wavelet transform and inverse transform; according to the method, detail information and color information in the image are effectively represented, three color components of the color image are always processed as a whole in the whole implementation process, the problem of color distortion in the image noise reduction process is solved, the noise reduction quality is improved, and the method can be widely applied to the fields of image and signal processing and the like.

Description

technical field [0001] The invention belongs to the technical field of image processing, and in particular relates to an image noise reduction method based on complex quaternion wavelet. Background technique [0002] As an important branch of image processing, image denoising is a hotspot in current image processing research and has important application value. Images are acquired by imaging sensors, such as CCD or CMOS imaging sensors. These types of sensors have dark current and electronic noise during the image acquisition process, especially in poor light conditions, and the acquired images have varying degrees of noise. pollute. In addition, in the process of image transmission, noise will also be generated due to the interference of the external environment. All this noise affects the quality of the image. How to remove the noise in the image is of high practical value for subsequent applications. Image denoising methods have been widely used in many fields such as...

Claims

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Application Information

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IPC IPC(8): G06T5/00
CPCG06T2207/10024G06T2207/20064G06T5/70Y02T10/40
Inventor 刘恋周宏王晓晶
Owner HUAIYIN TEACHERS COLLEGE
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