Not quite Leon. Yes your aim is to raise the black point (the left triangle in photoshop) so that it remains just to the left of the rise in the histogram. But it also means that when you stretch the data using curves for example you don't clip at the other end and have yours stars as pure white. This is seen as the histogram line starting to bunch up at the far right hand end.
Overall your histogram should end up spread more evenly across the range of the histogram.
The first histogram is what I'm imagining you are talking about (you can see it starting to clip on the white end) and the second is along the lines of what you might want to try to achieve if you were doing a widefield of the milky way. Its a bit of an extreme example of a histo stretch. The third one is of a widefield with the ED80 of M31.
Hope these help.
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