Command: GaussDiskConv

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Name:
GaussDiskConv - Convolution of a Gaussian with an excentric disk
Synopsis:
R r0 GaussDiskConv -> result
Examples:
SLI ] 3.2 2.3 GaussDiskConv =
0.873191
Description:
Computes the convolution of an excentric normalized Gaussian
with a disk

C[R, r0] = IInt[ disk(rvec; R) * Gauss(rvec - r_0vec) d^2rvec ]
= 2 Int[ r Exp[-r0^2-r^2] I_0[2 r r_0] dr, r=0..R]
Parameters:
R radius of the disk, centered at origin
r0 distance of Gaussian center from origin
Remarks:
This integral is needed to compute the response of a DOG model to
excentric light spots, see [1]. For technicalities, see [2]. Requires GSL.
References:
[1] G. T. Einevoll and P. Heggelund, Vis Neurosci 17:871-885 (2000).
[2] Hans E. Plesser, Convolution of an Excentric Gaussian with a Disk,
Technical Report, arken.nlh.no/~itfhep, 2002
Author:
H E Plesser
FirstVersion:
2002-07-12
Source:
/usr/src/packages/BUILD/sli/specialfunctionsmodule.h
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