Question

What kind of relation can be obtained between first order derivative and second order derivative of an image on the response obtained by encountering an isolated noise point in the image?

(a) First order derivative has a stronger response than a second order

(b) Second order derivative has a stronger response than a first order

(c) Both enhances the same and so the response is same for both first and second order derivative

(d) None of the mentioned

I got this question in a job interview.

Origin of the question is Sharpening Spatial Filters-2 in section Intensity Transformations and Spatial Filtering of Digital Image Processing

Answer 1

Right answer is (b) Second order derivative has a stronger response than a first order

Explanation: This is because a second order derivative is more aggressive toward enhancing sharp changes than a first order.