The white bars in the test pattern shown are 7 pixels wide and 210 pixels high. The separa...

The white bars in the test pattern shown are 7 pixels wide and 210 pixels high. The separation between bars is 17 pixels. What would this image look like after application of

(a) A 3 × 3 arithmetic mean filter?

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(b) A 7 × 7 arithmetic mean filter?

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(c) A 9 × 9 arithmetic mean filter?

Note: This problem and the ones that follow it, related to filtering this image, may seem a bit tedious. However, they are worth the effort, as they help develop a real understanding of how these filters work. After you understand how a particular filter affects the image, your answer can be a brief verbal description of the result. For example, “the resulting image will consist of vertical bars 3 pixels wide and 206 pixels high.” Be sure to describe any deformation of the bars, such as rounded corners. You may ignore image border effects, in which the masks only partially contain image pixels.