Local and linear total variation-based filtering method
A local linear and total variation technology, applied in image data processing, instrumentation, calculation, etc., to achieve the effect of small amount of calculation, good edge-preserving filtering characteristics, and simple algorithm
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[0011] A local linear total variation filtering method, in the pixel i Take n*n window as the center ,Have in, and for window image blocks within a i and b i for the window The associated coefficient of variation. So, in the small window , the above formula is written in component form as In order to find the optimal solution, the objective function in the formula is about a i , b i Derivative, and make it equal to zero, the calculation can be in, and observation image f in small window mean and variance of the inner gradient modulus; N w for small window the number of pixels, for observation image f in small window The mean of the inner gradient modulus.
[0012] With a i * and b i * Afterwards, for small windows any pixel, there is for all sliding windows , i= 1,2...N (N is the total number of pixels contained in the image), calculate the respective a i * and b i * After that, the final filtered output result in,
[0013]...
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