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Re: How the GaussianMatrix is calculated in Mathematica?

• To: mathgroup at smc.vnet.net
• Subject: [mg122683] Re: How the GaussianMatrix is calculated in Mathematica?
• From: Silvia <wyelen at gmail.com>
• Date: Sun, 6 Nov 2011 05:54:18 -0500 (EST)
• Delivered-to: l-mathgroup@mail-archive0.wolfram.com
• References: <j9314l$ac8$1@smc.vnet.net>
• Reply-to: comp.soft-sys.math.mathematica at googlegroups.com

according to the help,

With the default option setting Method->"Bessel", GaussianMatrix[r] has elements proportional to Exp[-\[Sigma]^2] BesselI[x,\[Sigma]^2], yielding a kernel with optimal discrete convolution properties.