Method for removing image noise based on kernel regression total variation
A kernel regression, total variation technology, applied in the field of computer vision, can solve problems such as image distortion and false details
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[0086] The image denoising method of the present invention will be described below with reference to the accompanying drawings. Such as figure 1 As shown, the method includes the following steps:
[0087] Step 1. Construct the kernel regression full variation regularization term to obtain the local structure information of the image. The process of constructing the full variational regularization term for kernel regression includes:
[0088] 1) Define the mathematical model of the noisy image as
[0089] the y i =z(x i )+ε i i=1,....,P,x i =[x 1i , x 2i ] T (1)
[0090] where y i is the noisy image at x i (x 1i and x 2i is the sampling point near the spatial domain coordinates), z( ) is the regression function to be estimated, ε i Represents independent and identically distributed noise with a mean of 0, and P is the number of sampling points.
[0091] 2) Expand the function locally at the point to be estimated, x is x i A sampling point nearby, then there is ...
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