Method for determining a corrected distance between a mobile transceiver fastened to a vehicle and a fixed transceiver, this method comprising the following steps when the vehicle is moving along a path segment belonging to a countable set of a plurality of predetermined path segments: a) acquisition, by an electronic computer, of transmission and reception times of radio signals exchanged between the fixed and mobile transceivers, b) computation, by the electronic computer, of a raw distance between the fixed and mobile transceivers solely from the acquired transmission and reception times of the exchanged radio signals, then c) determination (136, 210), by the electronic computer, of the position of the vehicle, wherein the method comprises: - identification, among the set of predetermined path segments, of the predetermined segment on which the vehicle is currently found on the basis of the last position determined for this vehicle, then - selection of a correction function specifically associated with the identified segment using a table that associates, with each path segment, a respective correction function, each of these correction functions being able, when it is executed, to deliver a correction coefficient for correcting the raw distance, then - execution of the identified correction function to obtain a current correction coefficient, then - correction of the last raw distance computed using the current correction coefficient to obtain the corrected distance. a) acquisition, by an electronic computer, of transmission and reception times of radio signals exchanged between the fixed and mobile transceivers, b) computation, by the electronic computer, of a raw distance between the fixed and mobile transceivers solely from the acquired transmission and reception times of the exchanged radio signals, then c) determination (136, 210), by the electronic computer, of the position of the vehicle, wherein the method comprises: - identification, among the set of predetermined path segments, of the predetermined segment on which the vehicle is currently found on the basis of the last position determined for this vehicle, then - selection of a correction function specifically associated with the identified segment using a table that associates, with each path segment, a respective correction function, each of these correction functions being able, when it is executed, to deliver a correction coefficient for correcting the raw distance, then - execution of the identified correction function to obtain a current correction coefficient, then - correction of the last raw distance computed using the current correction coefficient to obtain the corrected distance. - identification, among the set of predetermined path segments, of the predetermined segment on which the vehicle is currently found on the basis of the last position determined for this vehicle, then - selection of a correction function specifically associated with the identified segment using a table that associates, with each path segment, a respective correction function, each of these correction functions being able, when it is executed, to deliver a correction coefficient for correcting the raw distance, then - execution of the identified correction function to obtain a current correction coefficient, then - correction of the last raw distance computed using the current correction coefficient to obtain the corrected distance.