Gaussian

Gaussian Pyramid - How is Subsampling Rate Related to Sigma?

Gaussian Pyramid - How is Subsampling Rate Related to Sigma?
  1. What is the relation between a Gaussian pyramid and aliasing?
  2. How much space does a Gaussian pyramid take compared to the original image?
  3. What is the use of Gaussian pyramid?

What is the relation between a Gaussian pyramid and aliasing?

Aliasing arises when a signal is sampled at a rate that is insufficient to capture the changes in the signal (and in Gaussian Pyramids, this will always happen as sub-‐ sampling is twice as sparse at each level!) The soluCon to aliasing effects is smoothing, effecCvely reducing the maximum frequency of image features.

How much space does a Gaussian pyramid take compared to the original image?

The whole pyramid is only 4/3 the size of the original image!

What is the use of Gaussian pyramid?

Gaussian pyramid creates versions of the input image at multiple resolutions. This is useful for analysis across different spatial scales, but doesn't separate the image into different frequency bands.

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