Which of the facts(s) is/are true for the second order derivative of a digital function?(a) Must be zero in the flat areas(b) Must be nonzero at the onset and end of a gray-level step or ramp discontinuities(c) Must be zero along the ramps of constant slope(d) All of the mentionedThis question was posed to me by my college director while I was bunking the class.My enquiry is from Sharpening Spatial Filters-2 in division Intensity Transformations and Spatial Filtering of Digital Image Processing

Which of the facts(s) is/are true for the second order derivative of a

1.	Which of the facts(s) is/are true for the second order derivative of a digital function?(a) Must be zero in the flat areas(b) Must be nonzero at the onset and end of a gray-level step or ramp discontinuities(c) Must be zero along the ramps of constant slope(d) All of the mentionedThis question was posed to me by my college director while I was bunking the class.My enquiry is from Sharpening Spatial Filters-2 in division Intensity Transformations and Spatial Filtering of Digital Image Processing
Answer» Right option is (c) Must be zero along the ramps of CONSTANT SLOPE Explanation: The second order derivative of a DIGITAL function is defined as: Must be zero in the flat areas i.e. areas of constant grey values. Must be nonzero at the onset of a gray-level STEP or ramp DISCONTINUITIES. Must be zero along the gray-level ramps of constant slope.

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