A bilateral filtering acceleration method based on factorization and mean square error optimization
A technology of factorization and bilateral filtering, applied in the field of image processing, can solve problems such as unsatisfactory, time-consuming, unusable bilateral filters, etc., achieve fast convergence and improve filtering accuracy
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[0014] combine figure 1 , a bilateral filtering acceleration method based on factorization and mean square error optimization, including three processes of factorization, mean square error optimization and iterative summation.
[0015] First, the calculation formula of the bilateral filter itself is given as follows:
[0016]
[0017] in:
[0018]
[0019] I represents the input image to be filtered, Ω represents the filtering field centered on x, Represents the spatial filtering kernel function, Represents the range filtering kernel function.
[0020] Factoring involves the following steps:
[0021] Step 1, filter the kernel function for the range Carry out factorization, record μ=I(x), v=I(y):
[0022]
[0023] due to the third is a monotonic exponent, which leads to the nonlinearity of the bilateral filter and is very time-consuming, so the present invention chooses the third item for the approaching target;
[0024] Step 2, based on Weierstrass f...
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