When producing a dental product, use is made of a sensing apparatus (4) which reads the shape of a product. In this context, a quantity of information (8) is obtained and compressed before being transmitted on a remote link and/or data link (2), for example in the public telecommunication network. The apparatus can sense the model in a first coordinate system (5). During the sensing, first coordinates are extracted to second coordinates which belong to a second or a polar sensing system. The second coordinates form or constitute the basis for the control information for a machining equipment which produces, from a blank (19) a product or tool which corresponds to the read-off shape (6) of the model. Alternatively, a number of sets of coordinates, which, together with a selected set of coordinates, represent one and the same reading position, are discriminated against. The reduction in the reading information takes place in dependence on the surface size of the simulated sensing so that a greater reduction occurs with a larger surface size and vice versa. The quantity of information from a non-mechanical reading principle can be used to simulate a mechanical reading principle which conforms with the mode of operation of the machining equipment.