For a local enhancement using mean and variance, there is one condition: ms(x, y) ≤ k0 MG, where, MG is global mean, k0 a constant and ms(x, y) a measure of gray value as light or dark at point (x, y). Then, which fact is true for k0?

Question

For a local enhancement using mean and variance, there is one condition:

Answer 1

For local enhancement using mean and variance, the condition is:

The local variance must be greater than zero to apply effective enhancement.

Explanation:

• Mean: The local mean helps adjust the brightness or intensity in a given neighborhood of pixels.
• Variance: The local variance measures how much the intensity values in the neighborhood vary from the mean. A high variance indicates that the region has significant contrast or texture, while a low variance (or zero variance) suggests a uniform or smooth region.

Key Condition:

• Non-zero Variance: The enhancement is more useful when there is some contrast or detail in the local region, which is indicated by a non-zero variance. If the variance is zero (uniform region), enhancement may not be needed or effective.

Thus, the condition for local enhancement using mean and variance is that the variance must be non-zero to ensure the algorithm focuses on regions with sufficient detail or texture for enhancement.