# Smoothing Frequency Domain Filters MCQ [Free PDF] – Objective Question Answer for Smoothing Frequency Domain Filters Quiz

1. Smoothing in the frequency domain is achieved by attenuating which of the following component in the transformation of a given image?

A. Attenuating a range of high-frequency components
B. Attenuating a range of low-frequency components
C. All of the mentioned
D. None of the mentioned

Answer: A

Since edges and sharp transitions contribute significantly to high-frequency contents in the gray level of an image. So, smoothing is done by attenuating a range of high-frequency components.

2. Which of the following is/are considered as type(s) of lowpass filters?

A. Ideal
B. Butterworth
C. Gaussian
D. All of the mentioned

Answer: D

Lowpass filters are considered of three types: Ideal, Butterworth, and Gaussian.

3. Which of the following lowpass filters is/cover the range of very sharp filter functions?

A. Ideal lowpass filters
B. Butterworth lowpass filter
C. Gaussian lowpass filter
D. All of the mentioned

Answer: A

The ideal lowpass filter covers the range of very sharp filter functioning of lowpass filters.

4. Which of the following lowpass filters is/cover the range of very smooth filter functions?

A. Ideal lowpass filters
B. Butterworth lowpass filter
C. Gaussian lowpass filter
D. All of the mentioned

Answer: A

Gaussian lowpass filter covers the range of very smooth filter functioning of lowpass filters.

5. Butterworth lowpass filter has a parameter, filter order, determining its functionality as a very sharp or very smooth filter function or an intermediate filter function. If the parameter value is very high, the filter approaches which of the following filter(s)?

A. Ideal lowpass filter
B. Gaussian lowpass filter
C. All of the mentioned
D. None of the mentioned

Answer: A

For the high value of filter order, the Butterworth lowpass filter behaves as an Ideal lowpass filter, while for lower order value it has a smoother form behaving like a Gaussian lowpass filter.

6. Butterworth lowpass filter has a parameter, filter order, determining its functionality as a very sharp or very smooth filter function or an intermediate filter function. If the parameter value is of a lower order, the filter approaches which of the following filter(s)?

A. Ideal lowpass filter
B. Gaussian lowpass filter
C. All of the mentioned
D. None of the mentioned

Answer: B

For the high value of filter order, the Butterworth lowpass filter behaves as an Ideal lowpass filter, while for lower order value it has a smoother form behaving like a Gaussian lowpass filter.

7. In a filter, all the frequencies inside a circle of radius D0 are not attenuated while all frequencies outside the circle are completely attenuated. The D0 is the specified non-negative distance from the origin of the Fourier transform. Which of the following filter(s) characterizes the same?

A. Ideal filter
B. Butterworth filter
C. Gaussian filter
D. All of the mentioned

Answer: A

In an ideal filter, all the frequencies inside a circle of radius D0 are not attenuated while all frequencies outside the circle are completely attenuated.

8. In an ideal lowpass filter case, what is the relation between the filter radius and the blurring effect caused because of the filter?

A. Filter size is directly proportional to blurring caused because of filter
B. Filter size is inversely proportional to blurring caused because of filter
C. There is no relation between filter size and blurring caused because of it
D. None of the mentioned

Answer: B

An increase in filter size removes less power from the image and so less severe blurring occurs.

9. The characteristics of the lowpass filter h(x, y) is/are_________

A. Has a dominant component at origin
B. Has concentric, circular components about the center component
C. All of the mentioned
D. None of the mentioned

Answer: C

the lowpass filter has two different characteristics: one is a dominant component at origin and another one is a concentric, circular component about the center component.

10. What is the relation between the components of the ideal lowpass filter and the image enhancement?

A. The concentric component is primarily responsible for blurring
B. The center component is primarily for the ringing characteristic of the ideal filter
C. All of the mentioned
D. None of the mentioned

Answer: D

The center component of the ideal lowpass filter is primarily responsible for blurring while the concentric component is primarily for the ringing characteristic of the ideal filter.

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