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If you need micrometer precision, what is the resolution of your camera? Even with subpixel sampling to estimate "true" edge locations, a 1000 pixel wide picture could only cover a few millimeters for micrometer resolution to be possible. Is that what you're using? What kind of "rails" are these? Railroad rails in a forest? To get micrometer precision for standard 1.5 meter rail tracks, wouldn't you need a picture that's several hundred thousand pixels wide? (assuming subpixel fitting, else even more.)
