XYcoords2LinesColumns: XYcoords2LinesColumns(X,Y) Converts points given as x(i),y(i)...

In GeneralizedUmatrix: Credible Visualization for Two-Dimensional Projections of Data

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

Details

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)

GeneralizedUmatrix documentation built on Nov. 28, 2022, 5:13 p.m.