Normalize
Normalize the transition matrix.
normalize(x, ...)
x |
object of class 'Transition*' |
... |
optional argument |
argument method passed through ...
a character for the normalization method
the default is 'row' users can set the optional method argument
to either "col" or "symm"
Normalization of the weighted adjacency matrix in the Transition* object. Matrix values are divided by their respective row-sums, column-sums, or the product of the square-roots of both (symmetric normalization).
The default method is row-normalization. To use the other normalization
methods, users can set the optional method argument
to either "col" or "symm".
For random walk calculations a symmetric matrix is needed (method = "symm").
an object of class TransitionLayer
Jacob van Etten
von Luxburg, U. 2007. A tutorial on spectral clustering. Statistics and Computing 17(4), 395-416. http://arxiv.org/PS_cache/arxiv/pdf/0711/0711.0189v1.pdf
Chung, F. 1997. Spectral Graph Theory. Conference Board of the Mathematical Sciences, Washington.
library("raster")
r <- raster(ncol=36,nrow=18)
r <- setValues(r,rep(1,times=ncell(r)))
tr <- transition(r, mean, directions=8)
normalize(tr)
normalize(tr, method="symm")Please choose more modern alternatives, such as Google Chrome or Mozilla Firefox.