Question: Using median filters generally results in less blurring than using linear smoothing filters (e.g., box lowpass filters) of the same size. Explain why this is

Using median filters generally results in less blurring than using linear smoothing filters (e.g., box lowpass filters) of the same size. Explain why this is so. (Hint: In order to focus on the key difference between the filters, assume that noise is negligible, and consider the behavior of these filters in the neighborhood of a binary edge.)

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