1. If the Gaussian filter is expressed as H(u, v) = e^{(-D2 (u,v)/2D 02)}, where D(u, v) is the distance from the point(u, v), D_{0} is the distance defining cutoff frequency, then for what value of D(u, v) the filter is down to 0.607 of its maximum value?

A. D(u, v) = D_{0}

B. D(u, v) = D_{0}^{2}

C. D(u, v) = D_{0}^{3}

D. D(u, v) = 0

2. State the statement as true or false. “The GLPF did produce as much smoothing as the BLPF of order 2 for the same value of cutoff frequency”.

A. True

B. False

3. In general, which of the following assures no ringing in the output?

A. Gaussian Lowpass Filter

B. Ideal Lowpass Filter

C. Butterworth Lowpass Filter

D. All of the mentioned

4. The lowpass filtering process can be applied in which of the following area(s)?

A. The field of machine perception, with the application of character recognition

B. In the field of printing and publishing industry

C. In the field of processing satellite and aerial images

D. All of the mentioned

5. The edges and other abrupt changes in the gray level of an image are associated with_________

A. High-frequency components

B. Low-frequency components

C. Edges with high frequency and other abrupt changes in gray-level with low-frequency components

D. Edges with low frequency and other abrupt changes in gray-level with high-frequency components

6. A type of Image is called a VHRR image. What is the definition of a VHRR image?

A. Very High Range Resolution image

B. Very High-Resolution Range image

C. Very High-Resolution Radiometer image

D. Very High Range Radiometer Image

7. The Image sharpening in the frequency domain can be achieved by which of the following method(s)?

A. Attenuating the high-frequency components

B. Attenuating the low-frequency components

C. All of the mentioned

D. None of the mentioned

8. The function of filters in Image sharpening in the frequency domain is to perform a reverse operation of which of the following Lowpass filter?

A. Gaussian Lowpass filter

B. Butterworth Lowpass filter

C. Ideal Lowpass filter

D. None of the Mentioned

9. If D_{0} is the cutoff distance measured from the origin of the frequency rectangle and D(u, v) is the distance from the point(u, v). Then what value will an Ideal Highpass filter give if D(u, v) ≤ D0 andifD(u, v) >D0?

A. 0 and 1 respectively

B. 1 and 0 respectively

C. 1 in both case

D. 0 in both case

10. What is the relation of the frequencies to a circle of radius D_{0}, where D_{0} is the cutoff distance measured from the origin of the frequency rectangle, for an Ideal Highpass filter?

A. IHPF sets all frequencies inside the circle to zero

B. IHPF allows all frequencies, without attenuating, outside the circle

C. All of the mentioned

D. None of the mentioned

11. For a given image having smaller objects, which of the following filter(s), having D_{0} as the cutoff distance measured from the origin of the frequency rectangle, would you prefer for a comparably smoother result?

A. IHLF with D_{0} 15

B. BHPF with D_{0} 15 and order 2

C. GHPF with D_{0} 15 and order 2

D. All of the mentioned

12. Which of the following statement(s) is true for the given fact that “Applying Highpass filters affect the background of the output image”?

A. The average background intensity increases to near white

B. The average background intensity reduces to near black

C. The average background intensity changes to a value average of black and white

D. All of the mentioned

12. Which of the following is the transfer function of the Butterworth Highpass Filter, of order n, D0 is the cutoff distance measured from the origin of the frequency rectangle and D(u, v) is the distance from the point(u, v)?

A. $H(u,v) = \frac{1}{{1 + {{[{D_o}/D(u,v)]}^{2n}}}}$

B. $H(u,v) = \left\{ \begin{array}{l} 0{\text{ if D(u,v) }} \le {\text{ 0}}\\1{\text{ if D(u,v) }} \ge {\text{ 0}}\end{array} \right\}$

C. H(u,v) = 1 − e−D^{2}(u,v)/2D^{2}_{o}

D. None of the above

13. Which of the following is the transfer function of the Ideal Highpass Filter? Given that D0 is the cutoff distance measured from the origin of the frequency rectangle and D(u, v) is the distance from the point(u, v).

A. $H(u,v) = \frac{1}{{1 + {{[{D_o}/D(u,v)]}^{2n}}}}$

B. $H(u,v) = \left\{ \begin{array}{l} 0{\text{ if D(u,v) }} \le {\text{ 0}}\\1{\text{ if D(u,v) }} \ge {\text{ 0}}\end{array} \right\}$

C. H(u,v) = 1 − e−D^{2}(u,v)/2D^{2}_{o}

D. None of the above

14. Which of the following is the transfer function of the Gaussian Highpass Filter? Given that D0 is the cutoff distance measured from the origin of the frequency rectangle and D(u, v) is the distance from the point(u, v).

A. $H(u,v) = \frac{1}{{1 + {{[{D_o}/D(u,v)]}^{2n}}}}$

B. $H(u,v) = \left\{ \begin{array}{l} 0{\text{ if D(u,v) }} \le {\text{ 0}}\\1{\text{ if D(u,v) }} \ge {\text{ 0}}\end{array} \right\}$

C. H(u,v) = 1 − e−D^{2}(u,v)/2D^{2}_{o}

D. None of the above