Procedure implemented by computer to generate a complemented 3D data model (10 '' ') of a maxilla (12, 14) of a patient, in which the complemented 3D data model (10' '') of the maxilla (12, 14) comprises at least one 3D partial data model (16) of the dental crowns (K) of the teeth (Z) of the maxillary (K) that are in a predetermined dental position and a 3D partial data model (26) of a dummy gum (Fmod), in which the starting point of the procedure is a 3D data model (10) of the jaw (12, 14) obtained by a 3D scan, comprising 3D partial data models (16) of dental crowns (K) and a partial 3D data model (18) of a real gum (Freal), in which, based on this 3D data model (10) and taking into account a tooth-gum limit (ZFG) , the 3D partial data model (18) of the real gum (Freal) is separated and finally removed from the 3D partial data models (16) of the dental crowns (K), of m In the course of carrying out the procedure, there is an instant when there is a 3D data model (10 '') of the maxilla (12, 14), which is free of any representative 3D partial data model (18) of the real gum (Freal) of the patient and that includes a predetermined dental position of the teeth (Z) and in which, then, a 3D partial data model (26) of a dummy gum (Fmod) is created on the basis of at least the partial 3D data model (16) of the dental crowns (K) and added to the 3D data model (10 '') that includes the predetermined dental position of the teeth (Z), characterized in that, at create the 3D data model (26) of the dummy gum (Fmod) for each of the teeth (Z) of the 3D data model (10 '') that contains the default dental position of the teeth (Z), it is created separately a 3D data model (28) of a base gingiva (BG) and the 3D data models (28) of the base gingiva (BG) of all l The teeth (Z) are joined with the 3D data model (10 ''), which includes the predetermined dental position of the teeth (Z) in order to obtain the complemented 3D data model (10 '') of the jaw ( 12, 14).Procedimiento implement