Which of the following derivatives produce a double response at step changes in gray level?(a) First order derivative(b) Third order derivative(c) Second order derivative(d) First and second order derivativesI had been asked this question in a national level competition.My question is from Sharpening Spatial Filters topic in division Intensity Transformations and Spatial Filtering of Digital Image Processing

Which of the following derivatives produce a double response at step c

1.	Which of the following derivatives produce a double response at step changes in gray level?(a) First order derivative(b) Third order derivative(c) Second order derivative(d) First and second order derivativesI had been asked this question in a national level competition.My question is from Sharpening Spatial Filters topic in division Intensity Transformations and Spatial Filtering of Digital Image Processing
Answer» Correct answer is (C) Second order derivative Easy explanation: Second order derivatives PRODUCE a double LINE response for the STEP changes in the gray LEVEL. We also note of second-order derivatives that, for similar changes in gray-level values in an image, their response is stronger to a line than to a step, and to a point than to a line.

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