Laplace pyramid uses gaussian filter or binomial filter?

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Anisia Anil
Anisia Anil 2023-11-3
回答： Constantino Carlos Reyes-Aldasoro 2023-11-3
This might be a stupid question. But when I read about Lplacian image pyramids, my understanding was the images are initially blurred and low passed using a gaussian filter. Then i tried to implement it in matlab using "buldLpyr.m" which was avilable in the "matlabPyrTool" from Simoncelli. I have seen a lot of researches referring to this while constructing image pyramids. In this function I have observed they have used a filter named binom5, which is a binomial filter of size 5 for the initial blurring and low-passing the images. Can someone explained to me why?

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Constantino Carlos Reyes-Aldasoro
The original Burt and Adelson paper specifically uses a Gaussian filter
https://ieeexplore.ieee.org/document/1095851
The Gaussian is used to blur when going up, and the a subtraction when going down is what creates the Laplacian from the Gaussian.
Not sure why a binomial is used instead of a Gaussian, but if so, it would be a modification and not the original.

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