Creating a Gaussian Pyramid

1. How is Gaussian pyramid constructed?
2. What is the use of Gaussian pyramid?
3. How is a Laplacian pyramid constructed?
4. How much space does a Gaussian pyramid take compared to the original image?

How is Gaussian pyramid constructed?

How does it work? The "pyramid" is constructed by repeatedly calculating a weighted average of the neighboring pixels of a source image and scaling the image down. It can be visualized by stacking progressively smaller versions of the image on top of one another.

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.

How is a Laplacian pyramid constructed?

A Laplacian Pyramid is a linear invertible image representation consisting of a set of band-pass images, spaced an octave apart, plus a low-frequency residual. Formally, let. be a downsampling operation which blurs and decimates a j × j image , so that is a new image of size j / 2 × j / 2 .

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!