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If we apply binary opening to the same large object twice using the same smallstructuring element, the effect, if any, of the second opening on the object is thatthe object:(a) is completely removed(b) is unchanged(c) becomes smaller(d) becomes larger(e) none of the above

Question

If we apply binary opening to the same large object twice using the same smallstructuring element, the effect, if any, of the second opening on the object is thatthe object:(a) is completely removed(b) is unchanged(c) becomes smaller(d) becomes larger(e) none of the above

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Solution

(b) is unchanged

Binary opening is a morphological operation in image processing that is composed of an erosion operation followed by a dilation operation, both using the same structuring element. The purpose of the opening operation is to remove small objects or details from an image, while leaving larger objects relatively unchanged.

If we apply binary opening to the same large object twice using the same small structuring element, the effect of the second opening on the object would be that the object is unchanged. This is because the first opening operation would have already removed all the small details that the structuring element could remove. Therefore, applying the same operation a second time would not have any further effect on the object.

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