Digital Image Processing Mathematical Tool MCQ [Free PDF] – Objective Question Answer for Digital Image Processing Mathematical Tool Quiz

16. How is sampling been done when an image is generated by a single sensing element combined with mechanical motion?

A. The number of sensors in the strip defines the sampling limitations in one direction and Mechanical motion in the other direction.
B. The number of sensors in the sensing array establishes the limits of sampling in both directions.
C. The number of mechanical increments when the sensor is activated to collect data.
D. None of the mentioned.

Answer: C

When an image is generated by a single sensing element along with mechanical motion, the output data is quantized by dividing the gray-level scale into many discrete levels. However, sampling is done by selecting the number of individual mechanical increments recorded at which we activate the sensor to collect data.

 

17. How does sampling gets accomplished with a sensing strip being used for image acquisition?

A. The number of sensors in the strip establishes the sampling limitations in one image direction and Mechanical motion in the other direction
B. The number of sensors in the sensing array establishes the limits of sampling in both directions
C. The number of mechanical increments when the sensor is activated to collect data
D. None of the mentioned

Answer: A

When a sensing strip is used the number of sensors in the strip defines the sampling limitations in one direction and mechanical motion in the other direction.

 

18. How is sampling accomplished when a sensing array is used for image acquisition?

A. The number of sensors in the strip establishes the sampling limitations in one image direction and Mechanical motion in the other direction
B. The number of sensors in the sensing array defines the limits of sampling in both directions
C. The number of mechanical increments at which we activate the sensor to collect data
D. None of the mentioned

Answer: B

When we use a sensing array for image acquisition, there is no motion and so, only the number of sensors in the array defines the limits of sampling in both directions and the output of the sensor is quantized by dividing the gray-level scale into many discrete levels.

 

19. The quality of a digital image is well determined by ___________

A. The number of samples
B. The discrete gray levels
C. All of the mentioned
D. None of the mentioned

Answer: C

The quality of a digital image is determined mostly by the number of samples and discrete gray levels used in sampling and quantization.

 

20. Assume that an image f(x, y) is sampled so that the result has M rows and N columns. If the values of the coordinates at the origin are (x, y) = (0, 0), then the notation (0, 1) is used to signify :

A. Second sample along the first row
B. First sample along the second row
C. First sample along the first row
D. Second sample along the second row

Answer: A

The values of the coordinates at the origin are (x, y) = (0, 0). Then, the next coordinate values (second sample) along the first row of the image are represented as (x, y) = (0, 1).

 

22. The resulting image of sampling and quantization is considered a matrix of real numbers. By what name(s) the element of this matrix array is called __________

A. Image element or Picture element
B. Pixel or Pel
C. All of the mentioned
D. None of the mentioned

Answer: C

Sampling and Quantization of an image f(x, y) forms a matrix of real numbers and each element of this matrix array is commonly known as the Image element Picture element Pixel or Pel.

 

23. Let Z be the set of real integers and R the set of real numbers. The sampling process may be viewed as partitioning the x-y plane into a grid, with the center coordinates of each grid being from the Cartesian product Z2, which is a set of all ordered pairs (zi, zj), with zi and zj being integers from Z. Then, f(x, y) is said a digital image if:

A. (x, y) are integers from Z2 and f is a function that assigns a gray-level value (from Z) to each distinct pair of coordinates (x, y)

B. (x, y) are integers from R2 and f is a function that assigns a gray-level value (from R) to each distinct pair of coordinates (x, y)

C. (x, y) are integers from R2 and f is a function that assigns a gray-level value (from Z) to each distinct pair of coordinates (x, y)

D. (x, y) are integers from Z2 and f is a function that assigns a gray-level value (from R) to each distinct pair of coordinates (x, y)

Answer: D

In the given condition, f(x, y) is a digital image if (x, y) are integers from Z2 and f a function that assigns a gray-level value (that is, a real number from the set R) to each distinct coordinate pair (x, y).

 

24. Let Z be the set of real integers and R the set of real numbers. The sampling process may be viewed as partitioning the x-y plane into a grid, with the center coordinates of each grid being from the Cartesian product Z2, which is a set of all ordered pairs (zi, zj), with zi and zj being integers from Z. Then, f(x, y) is a digital image if (x, y) are integers from Z2 and f is a function that assigns a gray-level value (that is, a real number from the set R) to each distinct coordinate pair (x, y). What happens to the digital image if the gray levels also are integers?

A. The Digital image then becomes a 2-D function whose coordinates and amplitude values are integers

B. The Digital image then becomes a 1-D function whose coordinates and amplitude values are integers

C. The gray level can never be an integer

D. None of the mentioned

Answer: A

In Quantization Process if the gray levels also are integers the Digital image then becomes a 2-D function whose coordinates and amplitude values are integers.

 

25. The digitization process i.e. the digital image has M rows and N columns, requires decisions about values for M, N, and the number, L, of gray levels allowed for each pixel. The values M and N have to be:

A. M and N have to be a positive integer
B. M and N have to be a negative integer
C. M has to be negative and N has to be a positive integer
D. M has to be positive and N has to be a negative integer

Answer: A

The digitization process i.e. the digital image has M rows and N columns requires decisions about values for M, N, and the number, L, of max gray level. There are no requirements on M and N, other than that M and N have to be a positive integer.

 

26. The digitization process i.e. the digital image has M rows and N columns, requires decisions about values for M, N, and the number, L, of max gray levels. There are no requirements on M and N, other than that M and N have to be a positive integer. However, the number of gray levels typically is

A. An integer power of 2 i.e. L = 2k
B. A Real power of 2 i.e. L = 2k
C. Two times the integer value i.e. L = 2k
D. None of the mentioned

Answer: A

Due to processing, storage, and considering the sampling hardware, the number of gray levels typically is an integer power of 2 i.e. L = 2k.

 

27. The digitization process i.e. the digital image has M rows and N columns, requires decisions about values for M, N, and for the number, L, of max gray levels is an integer power of 2 i.e. L = 2k, allowed for each pixel. If we assume that the discrete levels are equally spaced and that they are integers then they are in the interval __________ Sometimes the range of values spanned by the grayscale is called the ________ of an image.

A. [0, L – 1] and static range respectively
B. [0, L / 2] and dynamic range respectively
C. [0, L / 2] and static range respectively
D. [0, L – 1] and dynamic range respectively

Answer: D

In the digitization process M rows and N columns have to be positive and for the number, L, of discrete gray levels typically an integer power of 2 for each pixel. If we assume that the discrete levels are equally spaced and that they are integers then they lie in the interval [0, L-1] Sometimes the range of values spanned by the gray scale is called the dynamic range of an image.

 

28. After the digitization process a digital image with M rows and N columns has to be positive and for the number, L, max gray levels i.e. an integer power of 2 for each pixel. Then, the number b, of bits required to store a digitized image is:

A. b=M*N*k
B. b=M*N*L
C. b=M*L*k
D. b=L*N*k

Answer: A

In the digital image of M rows and N columns and L max gray levels an integer power of 2 for each pixel. The number, b, of bits required to store a digitized image is b=M*N*k.

 

29. An image whose gray levels span a significant portion of the grayscale has __________ dynamic range while an image with a dull, washed-out gray look has __________ dynamic range.

A. Low and High respectively
B. High and Low respectively
C. Both have High dynamic range, irrespective of gray levels span significance on the grayscale
D. Both have Low dynamic range, irrespective of gray levels span significance on the grayscale

Answer: B

An image whose gray levels signify a large portion of grayscale has a High dynamic range, while that with a dull, washed out gray look have Low dynamic range.

 

30. Validate the statement “When in an Image an appreciable number of pixels exhibit high dynamic range, the image will have high contrast.”

A. True
B. False

Answer: A

In an Image, if an appreciable number of pixels exhibit high dynamic range property, the image will have high contrast.

 

31. In the digital image of M rows and N columns and L discrete gray levels, calculate the bits required to store a digitized image for M=N=32 and L=16.

A. 16384
B. 4096
C. 8192
D. 512

Answer: B

In the digital image of M rows and N columns and L max gray levels i.e. an integer power of 2 for each pixel. The number, b, of bits required to store a digitized image is b=M*N*k.
For L=16, k=4.
i.e. b=4096.

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