I think that’s just “data entry”. If a machine does it, it’s “Optical Character Recognition”. A Google search on ‘text data entry’ (without quotation marks) turns up a bunch of companies for your consideration.
No HAHA, this does what you wanted: makes an RTF document containing the text of the “scanned” document. I’ll admit it’s a poorly phrased term but it is what it is.
My brother-in-law had a typed document (he had lost the word .doc file). I scanned it and turned it back into a word doc.