A computer-implemented iterative method for reconstructing the topology of a cable network, includes the steps of: obtaining a measured time reflectogram, obtaining a simulated time reflectogram corresponding to a partial cable network comprising the singular points of the cable network reconstructed in the previous iterations and a matched load at the end of each cable, one endpoint of which is not yet reconstructed, subtracting the simulated time reflectogram from the measured time reflectogram in order to obtain a corrected time reflectogram, reconstructing the topology of the cable network by matching the peaks of the corrected reflectogram with the singular points of the cable network, the matching comprising searching, in the corrected reflectogram, for at least one second peak corresponding to a path of the signal comprising a main reflection off the ambiguous singular point and a secondary reflection off two junctions reconstructed in the previous iterations.