ArrayPlot coordinates scaling for overlays

*To*: mathgroup at smc.vnet.net*Subject*: [mg109167] ArrayPlot coordinates scaling for overlays*From*: fd <fdimer at gmail.com>*Date*: Wed, 14 Apr 2010 23:13:25 -0400 (EDT)

All This seems a simple problem I not finding an easy solution. I have a plot obtained from an ArrayPlot, for which the coordinates are the indexes of the matrix being plotted; I want to overlay to this plot some other plot, say, from DensityPlot. I have to tell Mathematica that the bottom left corner of the ArrayPlot is {xi,yi} and the upper right is {xf,yf}. It would be nice as well to know how you could do this with a raster image in general. I was trying to use ListDensityPlot, but for the specific problem I dealing with it is excruciatingly slow. I'm also working to re-scale the FrameTicks by defining a new ArrayPlot function, with limited success. Below the code I'm working on. Would anyone have an idea about this? Thanks in advance for any help. Felipe arrayPlotScale[array_List, {xmin_, xmax_}, {ymin_, ymax_}] := Module[{deltas = Reverse[{ymax - ymin, xmax - xmin}/Dimensions[array]], n = Dimensions[array] // Reverse}, ArrayPlot[array, FrameTicks -> Reverse[{Table[{i, xmin + i deltas[[1]] }, {i, 0, n[[1]], 20}], Table[{n[[2]] - i, ymin + i deltas[[2]]}, {i, 0, n[[2]], 10}]}]]] test = Table[i j, {i, 1, 100}, {j, 100, 1, -1}]; arrayPlotScale[test, {0, 16}, {0, 100}]