| Name: | GaussDiskConv - Convolution of a Gaussian with an excentric disk
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| Synopsis: | R r0 GaussDiskConv -> result
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| 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]
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| Parameters: | R radius of the disk, centered at origin
r0 distance of Gaussian center from origin
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| Examples: | SLI ] 3.2 2.3 GaussDiskConv =
0.873191
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| Author: | H E Plesser
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| FirstVersion: | 2002-07-12
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| 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
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| Source: | /home/abuild/rpmbuild/BUILD/nest-2.4.1/sli/specialfunctionsmodule.h
|