Image pyramids
Image pyramids are simply a collection of images obtained by downsampling an original image, so that each image is one-fourth the area of its predecessor. It is mainly used in image segmentation, since it can generate a very meaningful representation of the image in low resolution, so that a time consuming algorithm can run on it. This makes it easy for us to map this result back to a higher resolution image in the pyramid and makes it possible to refine the results there. Besides, an approximation to a Laplacian, by means of difference of Gaussians, can be generated. Note that a Laplacian image is the one that will show its edges.
In order to produce the downsample image, which we will call the layer i+1 in the Gaussian pyramid ...
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