Laplacian pyramid algorithm

1. How does Laplacian pyramid work?
2. Why is the Laplacian pyramid?
3. What is Pyramid algorithm?
4. How is Gaussian pyramid constructed?

How does Laplacian pyramid work?

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 .

Why is the Laplacian pyramid?

A Laplacian pyramid is very similar to a Gaussian pyramid but saves the difference image of the blurred versions between each levels. Only the smallest level is not a difference image to enable reconstruction of the high resolution image using the difference images on higher levels.

What is Pyramid algorithm?

Pyramid Algorithms presents a unique approach to understanding, analyzing, and computing the most common polynomial and spline curve and surface schemes used in computer-aided geometric design, employing a dynamic programming method based on recursive pyramids.

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.