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For local enhancement using mean and variance, the condition is:

The variance in the local region must be sufficiently high to apply effective enhancement.

Explanation:

  • Mean: The local mean provides the average intensity of pixels within a given region.
  • Variance: The variance measures the spread of pixel values around the mean, indicating contrast or texture within the region.

Condition:

  • Sufficient Variance: Enhancement should be applied only when the variance is high enough to signify detailed features (such as edges or textures). If the variance is low (indicating smooth or uniform areas), the enhancement may not be applied, as it could lead to noise amplification.

In summary, local enhancement using mean and variance is effective when the variance exceeds a certain threshold, ensuring it targets regions with meaningful contrast and texture.

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