Anisotropic multi-directional total variation image denoising method and device
An anisotropic, multi-directional technology, applied in the field of image processing, can solve the problems of not considering the optimization of image oblique gradient information, not being able to better suppress image noise, and losing image detail information, so as to maintain edge feature information , to achieve the effect of optimized processing and good image quality
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Embodiment 1
[0042] The embodiment of the present invention provides an image denoising method based on anisotropic multi-directional total variation, and the specific steps of the method are as follows:
[0043] Step 1: Obtain the original image to be denoised.
[0044] Step 2: Establish an anisotropic multi-directional total variation model of the original image, and perform a total variation regularization operation on the original image to be denoised. The above-mentioned multi-direction can include the horizontal, vertical and diagonal directions of the original image Perform a total variation difference operation.
[0045] The established anisotropic three-direction total variation model of the original image is as follows:
[0046]
[0047]Here u is the noise-free image to be optimized, and f is the original image polluted by noise. alpha h 、α v and alpha d are the coefficients of the total variation norm in the horizontal, vertical and diagonal directions respectively, and ...
Embodiment 2
[0085] This embodiment provides an anisotropic multi-directional total variation image denoising device, the structural diagram of which is as follows figure 2 As shown, the following modules are included:
[0086] Image acquiring unit 21, acquires the original image to be denoised;
[0087] An anisotropic multi-directional total variation model building unit 22, configured to perform a multi-directional total variation regularization operation on the original image, and establish an anisotropic multi-directional total variation model of the original image;
[0088] The optimization solving unit 23 is configured to optimize and solve the anisotropic multi-directional total variation model based on an iterative algorithm to obtain a denoised image of the original image.
[0089] Further, the anisotropic multi-directional total variation model building unit 22 is specifically used to perform total variation difference operations on the horizontal, vertical and diagonal directi...
Embodiment 3
[0098] The present invention will be further described by a group of examples below:
[0099] image 3 A schematic diagram of image comparison provided by an embodiment of the present invention. Select the Lena image and Barbara image as the experimental image, the image size is 64*64, the initial image is as follows image 3 -a and image 3 -e as shown in the image. Add Gaussian white noise to the initial image, such as image 3 -b and image 3 As shown in the -f image, the signal-to-noise ratio of the noisy image is 22.83dB.
[0100] Set up the model in the present invention, iterative optimization has the following calculation steps:
[0101] Iterative initial condition: when k=0, b 0 =04096×1 ,r 0 =0 4096×1 , u 0 =f 4096×1 , f 4096×1 =f 4096×1 ,0 represents an all-zero vector. Parameters in iterations μ=30, β=8, tol=10 -3 .
[0102] iteration loop:
[0103] In the first step, fix r and b, optimize u, and get u k+1 :
[0104]
[0105] In the second ste...
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