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 variance in the local region must be greater than zero.

Explanation:

• Mean: The local mean adjusts the brightness of the region by averaging pixel intensities.
• Variance: The local variance measures the spread or variation of pixel intensities from the mean, which indicates the level of detail or contrast in the region.

Condition:

• Non-zero Variance: Local enhancement relies on the presence of texture or contrast. If the variance is zero (i.e., the region is uniform), there's no contrast to enhance. Therefore, the region must have non-zero variance for meaningful enhancement to occur.

In summary, local enhancement using mean and variance is only effective when the variance in the local region is greater than zero, ensuring that the region has some level of detail or contrast to enhance.