Software :: ImageMagick's Convert Utility And High Quality Output?

I am trying to split a PDF into component pages that are of equal quality to the original. If I use display mypdf.pdf, then the PDF is split into pages of acceptable quality. The problem here is that I have to save each page individually. If, however, I use convert mypdf.pdf mypdf.bmp, I get the individual pages of the PDF in .BMP format (which is fine, but not exactly what I want), but the quality is substantially less than the original. I've tried dozens of combinations of commands to try to increase this quality, but to no avail.

Even if I do convert mypdf.pdf mypdfagain.pdf, there is a big loss of quality. Anyone familiar with splitting a PDF into individual pages without suffering a loss in quality?
Ideally, I would just save all the "scenes/frames" from display, but that feature unfortunately does not exist (though I may endeavor myself to add it if no formal solution exists).

NOTE: I think part of my problem might be: by using identify mypdf.pdf I can see that the resolution is specified, and when I convert it the resolution is much lower. This could be a source of quality loss, but I'm not familiar enough with image conversion to say that for sure. Whatever this command does, it removes the extra layer or whatever it is that prevents OCR from succeeding. I'd really like to understand that technology.. What is it about a PDF that allows an individual to embed some meta-data into every page of the PDF so that the only thing seen, say, through OCR, or a text search function, is the embedded text?