A digital image is a dot matrix image obtained by sampling and quantifying an analog image, a pair of digital images that can be abstracted into a two-dimensional function f (x,y), and the magnitude f of each position (x, y) in the image is called the grayscale value of that location, as shown in Formula 1, where N is the image resolution.<br>Noise in a broad sense is a signal that interferes with people's understanding of the original signal. Performance in the image affects people's understanding of digital images, superimposed on the image interferes with people's visual signals. Noise is random and unpredictable, and its distribution characteristics are generally described by the distribution function or probability density function in probability theory. For ease of description, this paper defines the following symbols: the original signal of the image is s, the noise signal is n, and the image containing noise is f. According to the combination with the signal, the noise is divided into added noise and multiplier noise, which can generally be written as:
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