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Consider the Basic kernel. Thus in practice the scale space is detected by. Blobs are detected as local extrema of the Propagation of Gaussians DoG scale space, obtained by subtracting successive scales of the Gaussian scale space:..
Thus in practice the scale space is computed by. Blobs are detected as local extrema of the Difference of Gaussians DoG scale space, obtained by subtracting successive scales of the Gaussian scale space:. At each next octave, the resolution of the images is halved to save computations. The images composing the Gaussian and Nm scale space can then be arranged as in the following figure:.
Notice that the scale level index s varies in a slightly redundant set.