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Digital signal and image processing Why?

Why median filters beat averaging on speckles

Why does a median filter erase specks that averaging only smears?

Lesson notes

Key points

Definitions

Salt-and-pepper noise
Random isolated pixels forced to extreme values, 0 or 255, while neighbours stay normal.

Takeaway: So median filters remove impulse noise while keeping edges sharp.

Quick check: In a 3×3 median filter, which sorted position gives the output value?
  1. The 1st value
  2. The 5th value
  3. The 9th value

Nine sorted values have their middle at position five.

Impulse noiseMean spreadsRank ordering

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