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An adaptive local noise reduction filter works by modifying each pixel value based on the statistical properties of its local neighborhood rather than applying a fixed operation over the entire image. The basic idea is to reduce noise while preserving important image details such as edges and fine structures, which are often blurred by non-adaptive smoothing filters. For each pixel at location ((x,y)), a small window of size (m \times n) _________ __________ ____ ________ ______ __________ __________ __________.
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