Catalogue of Artificial Intelligence Techniques

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Difference of Gaussians

Categories: Pattern Recognition and Image Processing

Author(s): T.P. Pridmore, S.R. Pollard, S.T. Stenton

This function is composed of the difference of two Gaussian distributions and approximates ${\nabla }_{}^{2}G$ (the Laplacian of a Gaussian), the operator which Marr and Hildreth proposed to be optimal for Edge Detection in images. It also describes the `mexican hat' weighting function of the receptive fields of retinal ganglion and LGN cells.

References:

• Marr, D. and Hildreth, E., Theory of edge detection, Proc. Roy. Soc. Lond., vol.B207, 1980, pp.187--217, also appears in Computer Vision: Principles, (Kasturi, R.J. and Jain, R.C., eds.), Las Alamitos, CA, IEEE Computer Society Press, 1991, pp. 77--107 .