Total variation image denoising method based on adaptive weighted edge detection
An adaptive weighting and edge detection technology, applied in the field of total variational image denoising, which can solve the problems of incomplete boundary information, inability to accurately measure the directionality of edge information, and edge blurring, so as to achieve more image details and eliminate boundary effects. , the effect of fast convergence
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[0063] The method of the present invention solves the very important image restoration problem in image processing, reads the image u containing noise in the computer, and obtains a value ranging from 0 to 255, and the data type is a value of uint8 type Matrix, for the convenience of iterative calculations, it is usually converted into double data.
[0064] STEP1: First, set the parameters and initialize the algorithm, and set the tolerance tol=10 -5 , the maximum iteration number iterMax=1000, k=1, and let u 0 =u, Parameter δ ∈ [0, 1];
[0065] STEP2: Next, according to the calculation formula of fuzzy edge complement and weighted structure tensor, take the degeneration parameters h and Both are 1, and the boundary metric is calculated
[0066] STEP3: Execute the iteration of the original variable u, the objective function of u is known from the following formula is differentiable, so the Gauss-Seidel iteration method can be directly used to solve it,
[0067]
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