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Answer :
Final answer:
The second image, blurred using a 25x25 box filter, does not show separation between vertical bars because of an optical illusion called the Moiré pattern. This pattern occurs when two regular patterns overlap and create an interference pattern. The Moiré pattern in the blurred image could be caused by interference between the grid-like pattern and the pattern created by the box filter.
Explanation:
The reason that the second image, blurred using a 25x25 box filter, does not show separation between the vertical bars is likely due to an optical illusion called the Moiré pattern. This pattern occurs when two regular patterns are superimposed and create an interference pattern. In this case, the overlapping of the grid-like pattern in the image and the pattern created by the box filter can cause the appearance of additional, unintended patterns.
This phenomenon is similar to what happens when two polarizing filters are overlapped at certain orientations. Depending on the alignment of the filters, they can create constructive or destructive interference patterns, resulting in changes in the intensity of transmitted light. The Moiré pattern in the blurred image could be a result of interference between the grid-like pattern and the pattern created by the box filter.
To avoid the Moiré pattern, it is important to choose a box size that minimizes the overlap of its pattern with the existing pattern in the image. Using a larger box size could result in a more significant overlap and an increased likelihood of the Moiré pattern appearing.
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