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The map will changed during the usage? Otherwise, only create a 2D map where each point is associated to a country.
OCR doesn't seem to be a good idea, you should probably used a segmentation step to identify country (specially if your map is in color, where each country has it own). After that, you test the position of the finger inside each component (aka country). The finger detection looks like more challenging, especially when the arm is occluding some parts...
