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First order derivative can enhance the fine detail in the image compared to that of second order derivative.

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First order derivative can enhance the fine detail in the image compared to that of second order derivative.

(a) True

(b) False

The question was posed to me in homework.

This key question is from Sharpening Spatial Filters in section Intensity Transformations and Spatial Filtering of Digital Image Processing

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Right option is (b) False

Easiest explanation: The response at and around the noise point is much stronger for the second order derivative than for the first order derivative. So, we can state that the second order derivative is better to enhance the fine details in the image including noise when compared to that of first order derivative.

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