Question

Wavelet transform decomposes an image into _______ number of components:

• A. \(\text{2} \)
• B. \(\text{1} \)
• C. \(\text{4} \)
• D. \(\text{3} \)

Hint:

Wavelet decomposition divides an image into four sub-bands: LL, LH, HL, and HH, which are used for image compression and feature extraction.

Answer 1

The Correct Option is C

Step 1: Understanding wavelet transform. A wavelet transform is a mathematical technique that decomposes an image into different frequency components for analysis. 

Step 2: Components of wavelet transform. Wavelet decomposition splits an image into four sub-bands: 
- LL (Approximation sub-band): Low-frequency components. 
- LH (Horizontal details sub-band): High-frequency in horizontal, low in vertical. 
- HL (Vertical details sub-band): High-frequency in vertical, low in horizontal. 
- HH (Diagonal details sub-band): High-frequency in both directions. 

Step 3: Selecting the correct option. Since wavelet decomposition results in four components (LL, LH, HL, HH), the correct answer is c. 4.