Method for controlling a set of one or more tools mounted on a railway intervention vehicle advancing on a railway track in an advancing direction, which method is carried out by a transposition system comprising a transposition frame mounted on the railway intervention vehicle and one or more transposition matrix cameras (44A, 44B) fixed to the transposition frame, the method comprising the following actions: - receiving data which characterize a curvilinear abscissa of a spatial indexing marker having a known signature, and a position of the spatial indexing marker with respect to a reference line (122A, 122B, 222) of the railway track, and coordinates of points or lines of interest (A, B, C, D, A', B', C', D', 162, 163, 164) in a two-dimensional locating reference system linked to the spatial indexing marker and to the reference line (122A, 122B, 222), - acquiring, by means of the transposition matrix camera(s), a set of one or more transposition matrix images in a spatial reference system of the transposition system, fixed with respect to the transposition frame; - acquiring, by means of an odometer (28, 70), advancement data of the transposition system with respect to the railway track, - identifying the spatial indexing marker in the set of one or more transposition matrix images on the basis of the advancement data and the curvilinear abscissa data, - determining characteristic data of the spatial indexing marker and of the reference line (122A, 122B, 222) in the spatial reference system of the transposition frame, - calculating transposed coordinates of the points or lines of interest (A, B, C, D, A', B', C', D', 162, 163, 164) in the spatial reference system of the transposition system, on the basis of the characteristic data of the spatial indexing marker and of the reference line in the spatial reference system of the transposition system, and the coordinates of the points or lines of interest (A, B, C, D, A', B', C', D', 162, 163, 164) in the locating reference system. - receiving data which characterize a curvilinear abscissa of a spatial indexing marker having a known signature, and a position of the spatial indexing marker with respect to a reference line (122A, 122B, 222) of the railway track, and coordinates of points or lines of interest (A, B, C, D, A', B', C', D', 162, 163, 164) in a two-dimensional locating reference system linked to the spatial indexing marker and to the reference line (122A, 122B, 222), - acquiring, by means of the transposition matrix camera(s), a set of one or more transposition matrix images in a spatial reference system of the transposition system, fixed with respect to the transposition frame; - acquiring, by means of an odometer (28, 70), advancement data of the transposition system with respect to the railway track, - identifying the spatial indexing marker in the set of one or more transposition matrix images on the basis of the advancement data and the curvilinear abscissa data, - determining characteristic data of the spatial indexing marker and of the reference line (122A, 122B, 222) in the spatial reference system of the transposition frame, - calculating transposed coordinates of the points or lines of interest (A, B, C, D, A', B', C', D', 162, 163, 164) in the spatial reference system of the transposition system, on the basis of the characteristic data of the spatial indexing marker and of the reference line in the spatial reference system of the transposition system, and the coordinates of the points or lines of interest (A, B, C, D, A', B', C', D', 162, 163, 164) in the locating reference system.