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 key condition is:

The local neighborhood must be small enough to capture local variations but large enough to ensure reliable statistical measures (mean and variance).

This means:

• The mean and variance must be computed over a local region that is large enough to provide meaningful statistical properties, such as averaging out noise but still small enough to capture local features or variations in the data (such as edges or texture in images).
• Too large a neighborhood would lead to the smoothing of details and edges, diminishing the enhancement effect.
• Too small a neighborhood might lead to unreliable estimates of mean and variance, especially in the presence of noise or abrupt changes in pixel values.

Thus, the condition is about balancing the size of the local region to ensure effective enhancement.