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 window must be greater than a threshold value to apply enhancement.

Explanation:

• Mean: The local mean calculates the average intensity of pixels within a given neighborhood.
• Variance: The variance measures the spread or deviation of pixel intensities from the mean, indicating the level of contrast or texture in the local region.

Condition:

• Variance Threshold: Enhancement is typically applied in regions with high variance, as these areas contain more detail (e.g., edges or textures). When the variance is below a certain threshold, the region is considered uniform or smooth, and enhancement might not be beneficial or may be avoided to prevent noise amplification.

Thus, enhancement is applied when the local variance exceeds a certain threshold, ensuring that only areas with meaningful contrast or texture are enhanced.