The Difference of Gaussians Approach
From the fact that the scale space representation satisfies the diffusion equation
it follows that the Laplacian of the Gaussian operator can also be computed as the limit case of the difference between two Gaussian smoothed images (scale space representations)
.
In the computer vision literature, this approach is referred to as the Difference of Gaussians (DoG) approach. Besides minor technicalities, however, this operator is in essence similar to the Laplacian and can be seen as an approximation of the Laplacian operator. In a similar fashion as for the Laplacian blob detector, blobs can be detected from scale-space extrema of differences of Gaussians -- see Lindeberg (2012) for the explicit relation between the difference-of-Gaussian operator and the scale-normalized Laplacian operator.
Read more about this topic: Blob Detection
Famous quotes containing the words difference and/or approach:
“The difference between the actual and the ideal force of man is happily figured in by the schoolmen, in saying, that the knowledge of man is an evening knowledge, vespertina cognitio, but that of God is a morning knowledge, matutina cognitio.”
—Ralph Waldo Emerson (18031882)
“F.R. Leaviss eat up your broccoli approach to fiction emphasises this junkfood/wholefood dichotomy. If reading a novelfor the eighteenth century reader, the most frivolous of diversionsdid not, by the middle of the twentieth century, make you a better person in some way, then you might as well flush the offending volume down the toilet, which was by far the best place for the undigested excreta of dubious nourishment.”
—Angela Carter (19401992)