Question

A satellite image with 6-bit radiometric resolution has __________________ gray levels.

• A. 16
• B. 32
• C. 64
• D. 128

Hint:

To calculate the number of gray levels in an image, use the formula \( 2^n \), where \( n \) is the number of bits per pixel. For a 6-bit image, this gives 64 gray levels.

Answer 1

The Correct Option is C

The radiometric resolution of an image refers to the number of gray levels (or intensity levels) that each pixel in the image can have. It is determined by the number of bits used to represent each pixel's intensity value. In this case, the image has a 6-bit radiometric resolution. Step 1: Understanding the concept of radiometric resolution
The radiometric resolution defines the number of distinct intensity levels that can be represented for each pixel. The number of possible gray levels is given by: \[ \text{Number of gray levels} = 2^n, \] where \( n \) is the number of bits per pixel. Step 2: Calculation
In this case, the radiometric resolution is 6 bits, so the number of gray levels can be calculated as: \[ \text{Number of gray levels} = 2^6 = 64. \] This means that each pixel in the image can have one of 64 different intensity values. Step 3: Analysis of the options
- Option (A): 16 gray levels. This corresponds to a 4-bit image, so this option is incorrect.
- Option (B): 32 gray levels. This corresponds to a 5-bit image, so this option is incorrect.
- Option (C): 64 gray levels. This corresponds to a 6-bit image, which is the correct number of gray levels for a 6-bit radiometric resolution. Hence, this is the correct answer.
- Option (D): 128 gray levels. This corresponds to a 7-bit image, so this option is incorrect. Thus, the correct answer is (C) 64.