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 region (neighborhood) should be homogeneous, meaning the mean and variance should be calculated over a region that does not include significant edge or texture changes.

In other words, when performing local enhancement, it's essential that the region of interest used for computing the mean and variance is relatively uniform. This ensures that the calculated mean and variance accurately represent the local characteristics of the area without being influenced by sharp edges or highly variable regions, which could distort the enhancement.

This condition ensures that:

1. The mean accurately represents the central tendency of pixel values in the neighborhood.
2. The variance reflects the spread or contrast within the neighborhood, without being dominated by noise or edge artifacts.

In practice, the enhancement works best when the local region is smooth or relatively consistent, so that the mean and variance can be used effectively to enhance features like contrast and texture.