How does the conversion from film to high definition digital formats work?

After watching Dirty Harry and a few other older movies that were shot on film and then converted to HD (Blu-Ray), I began to wonder...how did they convert the film to digital formats, more specifically, to high def?|||They basically have a high-res film scanner that scans the film print, and software which process that, makes the individual frames into a movie, then compresses that into a video file.





Naturally film, at least cinema grade film, generally has higher resolution than HDTV anyways, so there is no upconversion magic.