Pyramid (image processing): Difference between revisions

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==Pyramid generation kernels==
 
A variety of different smoothing kernels have proposed for generating pyramids (Burt 1981; Crowley 1981; Burt and Adelson 1983; Crowley and Sanderson 1984; Meer et al 1987). . Among the suggestions that have been given, the ''binomial kernels'' arising from the [[binomial coefficient]]s stand out as a particularly useful and theoretically well-founded class (Crowley 1981; Lindeberg 1990, 1994). Thus, given a two-dimensional image, we may apply the binomial filter (1, 2, 1) typically once, twice or twicea few times along each spatial dimension and then subsample the image. This operation proceedsmay then proceed as many times as desired, leading to a compact and efficient multi-scale representation. TodayIf motivatived by specific requirements, withintermediate scale levels may also be generated where the subsampling stage is left out, leading to an oversampled or hybrid pyramid. With the increasing computational efficiency of [[CPU]]s available today, it is in some situations also feasible to use wider support [[Gaussian filter]]s can also be used as smoothing kernels in the pyramid generation steps.
 
==Applications of pyramids==