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

The neighborhood or region over which the mean and variance are calculated should be small enough to capture local variations but large enough to minimize the effects of noise.

This means that the local region should be carefully chosen:

  • Not too large: If the region is too large, it may average out important local details such as edges or textures, leading to a loss of significant features.
  • Not too small: If the region is too small, the statistical measures (mean and variance) may be unreliable, as they could be influenced by noise or very few data points.

Thus, the condition is about balancing the size of the region to ensure that the mean and variance effectively enhance local features while minimizing noise.

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