Adding labels to a GraphicsGrid object

*To*: mathgroup at smc.vnet.net*Subject*: [mg113500] Adding labels to a GraphicsGrid object*From*: kj <no.email at please.post>*Date*: Sun, 31 Oct 2010 02:08:59 -0500 (EST)

As I described in an earlier post, I am trying to add labels to a complex GraphicsGrid object. This object is in fact a GraphicsRow of GraphicsGrid objects. I need to add various labels on each side of the overall graphic. These labels must line up with various elements of the overall graphic. Many of these labels are associated with closely-spaced objects, therefore they have to be placed within tight tolerances. Also, I need to generate many figures like this one, so manual adjustment of the label positions is out of the question. I've tried many ways to do this, but they have all failed. My most successful attempt so far used heuristics to determine the positions of the desired labels. To do this my code extracted the centers of the elements in the various grids, and performed the necessary scaling and translations of these points to obtain their coordinates in the overall graphic (which I call "global" coordinates). The computed global coordinates are off. The problem (I think) rests with the computed scaling factor, for converting the coordinates local to each sub-figure to the global coordinates of the entire array. I have not found a way to compute this factor with sufficient accuracy. I can tell you what doesn't work: taking the ratio of the 4th parameter of the Inset objects generated by GraphicsGrid to the PlotRange of the inset image. The reason for this is that area corresponding to this PlotRange is substantially smaller (to an unpredictable degree) than the area corresponding to the 4th parameter to Inset. If anyone can tell me how I can compute the exact scaling factor for converting from the local coordinates of the arrayed subfigures to the global coordinates of the entire composite figure I'd greatly appreciate it! TIA! ~kj