XYcoords2LinesColumns {GeneralizedUmatrix}

XYcoords2LinesColumns(X,Y) Converts points given as x(i),y(i) coordinates to integer coordinates Columns(i),Lines(i)

Description

XYcoords2LinesColumns(X,Y) Converts points given as x(i),y(i) coordinates to integer coordinates Columns(i),Lines(i)

Arguments

X

[1:n] first coordinate: x(i), y(i) is the i-th point on a plane

Y

[1:n] second coordinate: x(i), y(i) is the i-th point on a plane

minNeurons

minimal size of the corresponding grid i.e max(Lines)*max(Columns)>=MinGridSize , default MinGridSize = 4096 defined by the numer of neurons

MaxDifferentPoints

TRUE: the discretization error is minimal FALSE: number of Lines and Columns is minimal

PlotIt

Plots the result

na.rm

if non finite values should be disregarded in the computation then set to TRUE

Details

Non finite values are not filtered out even if na.rm=TRUE, only ignored. Details are written down in [Thrun, 2018, p. 47].

Value

GridConvertedPoints[1:Columns,1:Lines,2] IntegerPositions on a grid corresponding to x,y

Author(s)

Michael Thrun

References

[Thrun, 2018] Thrun, M. C.: Projection Based Clustering through Self-Organization and Swarm Intelligence, doctoral dissertation 2017, Springer, Heidelberg, ISBN: 978-3-658-20539-3, doi:10.1007/978-3-658-20540-9, 2018.

Examples

data("Chainlink")
Data=Chainlink$Data
InputDistances=as.matrix(dist(Data))
res=cmdscale(d=InputDistances, k = 2, eig = TRUE, add = FALSE, x.ret = FALSE)
ProjectedPoints=as.matrix(res$points)
GridConvertedPoints=XYcoords2LinesColumns(ProjectedPoints[,1],ProjectedPoints[,2],PlotIt=FALSE)