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In order to improve the quality of the image, there are several methods that can be used to smooth out the gray-scale image. One such method is the mean smoothing filter, which calculates the average of the pixels in the image to produce a smoother image. Another method is the median smoothing filter, which replaces each pixel with the median value of its neighboring pixels. Both of these methods can be used to reduce the amount of noise in the image and improve its visual quality.
When comparing the two methods, it is important to note that the mean smoothing filter is more effective at reducing noise in images with a Gaussian distribution, while the median smoothing filter is better suited for images with non-Gaussian distributions. Additionally, the median smoothing filter is less sensitive to outliers than the mean smoothing filter, which can be useful in certain applications.
In conclusion, both mean and median smoothing filters are useful tools for improving the quality of gray-scale images. The choice between the two methods depends on the specific characteristics of the image and the intended application.