GaussDiskConv


Name:
GaussDiskConv - Convolution of a Gaussian with an excentric disk  

Synopsis:R r0 GaussDiskConv -> result

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

Examples:SLI ] 3.2 2.3 GaussDiskConv =
0.873191

Author:H E Plesser
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
FirstVersion:
2002-07-12  

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.

Source:
/home/nest/work/nest-2.14.0/sli/specialfunctionsmodule.h