ExtendToroidalUmatrix {GeneralizedUmatrix}

Extend Toroidal Umatrix

Description

Extends Umatrix by toroidal continuation of the given Umatrix defined by ExtendBorders in all four directions.

Usage

ExtendToroidalUmatrix(Umatrix, Bestmatches, ExtendBorders)

Arguments

Umatrix

[1:Lines,1:Columns] Matrix of Umatrix Heights

Bestmatches

[1:n, 1:2] Matrix with positions of Bestmatches for n datapoints, first columns is the position in Lines and second column in Columns

ExtendBorders

number of lines and columns the umatrix should be extended with

Details

Function assumes that U-matrix is not planaer (has no borders), i.e. is toroidal, and not tiled. Bestmatches are moved to new positions accordingly. Example is shown in conference talk of [Thrun et al., 2020].

Value

Umatrix

[1:Lines+2*ExtendBorders,1:Columns+2*ExtendBorders] Matrix of U-Heights

Bestmatches

Array with positions of Bestmatches

Note

Currently can be only used if untiled U-Matrix (the default) is presented, but 4-tiled U-matrix does not work.

Author(s)

Michael Thrun

References

[Thrun et al., 2020] Thrun, M. C., Pape, F., & Ultsch, A.: Interactive Machine Learning Tool for Clustering in Visual Analytics, 7th IEEE International Conference on Data Science and Advanced Analytics (DSAA 2020), Vol. accepted, pp. 1-9, IEEE, Sydney, Australia, 2020.

Examples

#ToDO