The explanation of Laplacian pyramid makes more sense in the laplacian pyramid section. Leaving the previous correction, though, which is that the laplacian pyramid is not based on the bilateral filter
Laplacian image pyramids <ref>http://persci.mit.edu/pub_pdfs/pyramid83.pdf</ref> represent detail at different spatial scales by storing the differences between successive increasingly blurred versionsLevels of an image. These differences are stored in a pyramid structure that mirrors that of a GaussianLaplacian pyramid, with each Laplacian level representing the difference between a Gaussian level <math>G_k</math> and a Gaussian-upsampling of the next level <math>G_{k+1}</math>. Laplacian levels can be added to or removed from the original image to amplify or reduce detail at different scales. However, detail manipulation of this form is known to produce halo artifacts in many cases, leading to the development of alternatives such as the [[bilateral filter]]. Laplacian pyramids of different images can also be mixed to perform image blending.
Some [[image compression]] file formats use the [[Adam7 algorithm]] or some other [[Interlacing (bitmaps)|interlacing]] technique.
