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 calculates the average intensity of pixels in the neighborhood around a target pixel.
• Variance: The local variance measures how much pixel intensities deviate from the mean, indicating the amount of contrast or texture in the neighborhood.

Condition:

• Non-zero Variance: If the variance is zero (i.e., the region is uniform), then no meaningful enhancement can be applied because there are no variations in pixel intensities to enhance. Therefore, the region must have a non-zero variance to apply enhancement effectively.

In summary, local enhancement using mean and variance is applied only when the variance is greater than zero, ensuring that the region has enough contrast or texture for the enhancement process to be useful.