Virtual Labs

1. The Fourier Transform provides an image representation in the

a: Frequency domain Explanation

Explanation

b: File-storage domain Explanation

Explanation

c: Binary domain only Explanation

Explanation

d: Colour domain only Explanation

Explanation

2. Which functions form the basic building blocks of the Fourier Transform representation?

a: Step functions Explanation

Explanation

b: Pure sinusoidal functions Explanation

Explanation

c: Ramp functions Explanation

Explanation

d: Polynomial functions only Explanation

Explanation

3. If

f

and

g

are images, which expression represents the Fourier Transform of

f+g

F-G

Explanation

F \cdot G

Explanation

G-F

Explanation

F+G

Explanation

4. If

f

and

g

are two images and

f*g

denotes convolution, which expression gives its Fourier Transform?

F+G

Explanation

F \cdot G

Explanation

F-G

Explanation

G-F

Explanation

5. Under the normalization used in the experiment,

F(0,0)

corresponds to the

a: Mean value of the spatial-domain image Explanation

Explanation

b: Mean value of the phase spectrum Explanation

Explanation

c: Maximum frequency component Explanation

Explanation

d: Image width Explanation

Explanation

6. What does the magnitude spectrum of a Fourier Transform primarily describe?

a: The spatial coordinates of the original pixels Explanation

Explanation

b: The strength of the frequency components Explanation

Explanation

c: The file size of the image Explanation

Explanation

d: The number of rows in the image Explanation

Explanation

7. Which statement correctly describes the convolution theorem used with the Fourier Transform?

a: Convolution in the spatial domain corresponds to multiplication in the frequency domain Explanation

Explanation

b: Convolution in the spatial domain corresponds to subtraction in the frequency domain Explanation

Explanation

c: Addition in the spatial domain corresponds to multiplication in the frequency domain Explanation

Explanation

d: Rotation in the spatial domain corresponds to subtraction in the frequency domain Explanation

Explanation

8. If an image has mainly slowly varying intensity changes, its Fourier representation is expected to contain relatively stronger

a: High-frequency components Explanation

Explanation

b: Low-frequency components Explanation

Explanation

c: Only image-dimension information Explanation

Explanation

d: Only colour-channel information Explanation

Explanation

9. Which statement best explains why Fourier-domain multiplication is useful in image processing?

a: It converts every image directly into a binary image Explanation

Explanation

b: It eliminates the need for any image representation Explanation

Explanation

c: It provides a frequency-domain way to perform the operation corresponding to spatial convolution Explanation

Explanation

d: It changes the number of pixels in the image Explanation

Explanation