Sharpening Spatial Filters MCQ [Free PDF] - Objective Question Answer for Sharpening Spatial Filters Quiz

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

A. True
B. False

Answer: B

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 the first-order derivative.

12. 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 derivatives

Answer: C

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.

13. The objective of sharpening spatial filters is/are to ___________

A. Highlight fine detail in an image
B. Enhance detail that has been blurred because of some error
C. Enhance detail that has been blurred because of some natural effect of some method of image acquisition
D. All of the mentioned

Answer: D

Highlighting the fine detail in an image or Enhancing detail that has been blurred because of some error or some natural effect of some method of image acquisition, is the principal objective of sharpening spatial filters.

14. Sharpening is analogous to which of the following operations?

A. To spatial integration
B. To spatial differentiation
C. All of the mentioned
D. None of the mentioned

Answer: B

Smoothing is analogous to integration and so, sharpening to spatial differentiation.

15. Which of the following fact(s) is/are true about sharpening spatial filters using digital differentiation?

A. Sharpening spatial filter response is proportional to the discontinuity of the image at the point where the derivative operation is applied
B. Sharpening spatial filters enhances edges and discontinuities like noise
C. Sharpening spatial filters deemphasizes areas that have slowly varying gray-level values
D. All of the mentioned

Answer: D

The derivative operator’s response is proportional to the discontinuity of the image at the point where the derivative operation is applied.
Image differentiation enhances edges and discontinuities like noise and deemphasizes areas that have slowly varying gray-level values.
Since sharpening spatial filters are analogous to differentiation, so, all the above-mentioned facts are true for sharpening spatial filters.

16. Which of the facts(s) is/are true for the first-order derivative of a digital function?

A. Must be nonzero in the areas of constant grey values
B. Must be zero at the onset of a gray-level step or ramp discontinuities
C. Must be nonzero along the gray-level ramps
D. None of the mentioned

Answer: C

The first-order derivative of a digital function is defined as:

Must be zero in the areas of constant grey values.
Must be nonzero at the onset of a gray-level step or ramp discontinuities.
Must be nonzero along the gray-level ramps.

17. 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 mentioned

Answer: C

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.

18. The derivative of a digital function is defined in terms of difference. Then, which of the following defines the first-order derivative ∂f/∂x= ___________ of a one-dimensional function f(x)?

A. f(x+1)-f(x)
B. f(x+1)+ f(x-1)-2f(x)
C. All of the mentioned depend upon the time when partial derivative will be dealt along two spatial axes
D. None of the mentioned

Answer: A

The definition of the first-order derivative of a one-dimensional image f(x) is:
∂f/∂x= f(x+1)-f(x), where the partial derivative is used to keep the notation same even for f(x, y) when the partial derivative will be dealt along two spatial axes.

19. The derivative of a digital function is defined in terms of difference. Then, which of the following defines the second-order derivative ∂2 f/∂x2 = ___________ of a one-dimensional function f(x)?

A. f(x+1)-f(x)
B. f(x+1)+ f(x-1)-2f(x)
C. All of the mentioned depend upon the time when partial derivative will be dealt along two spatial axes
D. None of the mentioned

Answer: B

The definition of a second-order derivative of a one-dimensional image f(x) is:
(∂2 f)/∂x2 =f(x+1)+ f(x-1)-2f(x), where the partial derivative is used to keep notation same even for f(x, y) when partial derivative will be dealt along two spatial axes.

20. What kind of relationship can be obtained between the first-order derivative and second-order derivative of an image having a based on edge productions that show a transition like a ramp of the constant slope?

A. First order derivative produces a thick edge while second-order produces a very fine edge
B. Second order derivative produces a thick edge while first-order produces a very fine edge
C. Both first and second-order produce a thick edge
D. Both first and second-order produce a very fine edge

Answer: A

the first-order derivative remains nonzero along the entire ramp of constant slope, while the second-order derivative remains nonzero only at the onset and end of such ramps.

If an edge in an image shows transition like the ramp of constant slope, the first order and second-order derivative values show the production of thick and finer edges respectively.

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