The following is an example of a two-dimensional Gaussian function.

2 (X-Xo) f(X,Y) = Amplitude x exp( ------------ ) 2 Rx 2 (Y-Yo) x exp( ------------ ) 2 Ry

- X - horizontal location in space
- Y - vertical location in space
- Amplitude - Peak amplitude of Gaussian
- Xo - horizontal midpoint in space
- Yo - vertical midpoint in space
- Rx - horizontal space constant
- Ry - vertical space constant

Click here for a table taken from the above text which describes the relationship between different measures of Gaussian width.

Click here for a table taken from the above text which describes the relationship between the width of a Gaussian function and the width of its Fourier transform

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© 1995 Lance Hahn (lance@retina.anatomy.upenn.edu)