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Sharpening is analogous to which of the following operations?

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Sharpening is analogous to which of the following operations?

(a) To spatial integration

(b) To spatial differentiation

(c) All of the mentioned

(d) None of the mentioned

This question was posed to me during an online interview.

This is a very interesting question from Sharpening Spatial Filters-2 in portion Intensity Transformations and Spatial Filtering of Digital Image Processing

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Right choice is (b) To spatial differentiation

Easiest explanation: Smoothing is analogous to integration and so, sharpening to spatial differentiation.

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