What kind of relation can be obtained between the response of first order derivative and second order derivative of an image having a transition into gray-level step from zero?(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 first and second order derivative has the same response(d) None of the mentionedI had been asked this question in examination.This intriguing question comes from Sharpening Spatial Filters-2 topic in chapter Intensity Transformations and Spatial Filtering of Digital Image Processing

What kind of relation can be obtained between the response of first or

1.	What kind of relation can be obtained between the response of first order derivative and second order derivative of an image having a transition into gray-level step from zero?(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 first and second order derivative has the same response(d) None of the mentionedI had been asked this question in examination.This intriguing question comes from Sharpening Spatial Filters-2 topic in chapter Intensity Transformations and Spatial Filtering of Digital Image Processing
Answer» Correct choice is (c) Both first and second order derivative has the same response The EXPLANATION: This is because a first order derivative has STRONGER response to a gray-level step than a second order, but, the response BECOMES same if TRANSITION into gray-level step is from ZERO.

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