There is described a photogrammetric method and an arrangement for the three-dimensional digitizing of bodies and body parts (26) which are covered with a marked, elastic cover (14), which comprises high-contrast marks which are photogrammetrically analysable, and which are photographed from different shooting positions. For the purpose, at least one camera (22) is moved around the body with a simple, inaccurate guide and images overlapping each other are taken from different positions in space to cover both the body and several of the marks (10) of the support (12). Methods of photogrammetry as well as digital image processing and pattern recognition provide precise space coordinates of the body to be digitized. One exemplary application is the digitizing of the foot/lower leg portion for the selection or custom manufacture of anatomically well-fitting footwear, the digitizing of the leg portion for the manufacture or selection of well-fitting compression stockings.