Metro map layout based on multicriteria optimization
metro_multicriteria(object, xy, l = 2, gr = 0.0025, w = rep(1, 5), bsize = 5)
initial layout of the original graph
desired multiple of grid point spacing. (l*gr determines desired edge length)
grid spacing. (l*gr determines desired edge length)
weight vector for criteria (see details)
number of grid points a station can move away rom its original position
new coordinates for stations
The function optimizes the following five criteria using a hill climbing algorithm:
Angular Resolution Criterion: The angles of incident edges at each station should be maximized, because if there is only a small angle between any two adjacent edges, then it can become difficult to distinguish between them
Edge Length Criterion: The edge lengths across the whole map should be approximately equal to ensure regular spacing between stations. It is based on the preferred multiple, l, of the grid spacing, g. The purpose of the criterion is to penalize edges that are longer than or shorter than lg.
Balanced Edge Length Criterion: The length of edges incident to a particular station should be similar
Line Straightness Criterion: (not yet implemented) Edges that form part of a line should, where possible, be co-linear either side of each station that the line passes through
Octiinearity Criterion: Each edge should be drawn horizontally, vertically, or diagonally at 45 degree, so we penalize edges that are not at a desired angle see online for more plotting tips
Stott, Jonathan, et al. "Automatic metro map layout using multicriteria optimization." IEEE Transactions on Visualization and Computer Graphics 17.1 (2010): 101-114.