xneig4

This is a basis function used in simulation algorithms on the Ising
and Potts models. It counts how many of the four neighbours
of \(x_{a,b}\) are of the same colour as this
pixel.

neighbourhood

Ising model

Potts model

Allows the reenactment of the R programs used in
the book Bayesian Essentials with R without further programming.
R code being available as well, they can be modified by the user
to conduct one's own simulations.
Marin J.-M. and Robert C. P. (2014) <doi:10.1007/978-1-4614-8687-9>.

JeanMichel Marin

bayess

Bayesian Essentials with R

xneig4 function

<dl> <dt>x</dt>
<dd>grid of coloured pixels</dd> <dt>a</dt>
<dd>row index</dd> <dt>b</dt>
<dd>column index</dd> <dt>col</dt>
<dd>current or proposed colour</dd></dl>

Arguments

Number of neighbours with the same colour — xneig4

<dl>

 <dt>x</dt>
<dd>grid of coloured pixels</dd>

 <dt>a</dt>
<dd>row index</dd>

 <dt>b</dt>
<dd>column index</dd>

 <dt>col</dt>
<dd>current or proposed colour</dd>

</dl>

xneig4: Number of neighbours with the same colour

Description

Usage

Value

Arguments

See Also

Examples