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n image morphology, a structuring element is a small binary image used for the morphological operations. Which of the following statements about structuring elements is correct?Select one:a. Structuring elements can have various shapes, such as squares, rectangles, circles, and lines.b. The structuring element must be a square matrix.c. The structuring element is applied to the image using convolution.d. The size of the structuring element must match the size of the objects to be removed.

Question

n image morphology, a structuring element is a small binary image used for the morphological operations. Which of the following statements about structuring elements is correct?Select one:a. Structuring elements can have various shapes, such as squares, rectangles, circles, and lines.b. The structuring element must be a square matrix.c. The structuring element is applied to the image using convolution.d. The size of the structuring element must match the size of the objects to be removed.

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Solution

The correct statement is:

a. Structuring elements can have various shapes, such as squares, rectangles, circles, and lines.

Explanation: In image morphology, structuring elements can indeed have various shapes, including squares, rectangles, circles, and lines. The shape of the structuring element is chosen based on the specific task at hand. For example, a circular structuring element might be used for dilation or erosion operations on an image where the objects of interest are roughly circular. The other options are incorrect because the structuring element does not need to be a square matrix, it is not applied using convolution, and its size does not need to match the size of the objects to be removed.

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