Denoising Method of Remote Sensing Image Based on Scattering Matrix Features of Second Order Partial Differential Equation
A partial differential equation and second-order partial differential technology, applied in the field of second-order partial differential equation remote sensing image denoising, can solve the problem that the existence and uniqueness of equation solutions cannot be guaranteed, it is difficult to ensure that the variance tends to 0 stability, and the smoothing efficiency is not enough. Satisfaction and other problems, to avoid blurring the sharp corners of the target, overcome the "block" effect, and accurately distinguish the effect
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[0041] The improved fourth-order partial differential image denoising method based on non-subsampling wavelet transform provided by the present invention is carried out according to the following steps:
[0042] Step 1. Establish a second-order partial differential diffusion model for remote sensing image denoising, which is defined as shown in formula (1):
[0043]
[0044] The I 0 (x, y) represents the initial image, I(x, y, t) represents the pixel value of the smoothed image at time scale t at coordinates (x, y), and I ξξ Represents the 2nd derivative in the direction perpendicular to the gradient vector, I ηη Represents the 2nd derivative in the direction parallel to the gradient, g 1 Indicates the function used to control the direction of diffusion, g 2 Indicates the fidelity function used to control sharp and smooth regions, g 1 and g 2 is a monotonically non-increasing function and takes a value between [0, 1], (I 0 -I) is a fidelity item, representing the diff...
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