Method for the skiving of the equatorial surface of the casing of a pneumatic tyre during a retreading process of the same pneumatic tyre, the method comprising the steps of: removing the old worn tread from the pneumatic tyre in order to expose the equatorial surface of the casing of the pneumatic tyre; electronically identifying the presence and location of any damage on the equatorial surface of the casing; and skiving the equatorial surface of the casing where there is damage resulting in the formation on the equatorial surface of craters by means of an electronically controlled automatic skiving device that is driven as a function of the location of the damage on the equatorial surface of the casing; the method is characterized in that the step of electronically identifying the presence and location of a damage on the equatorial surface of the casing before skiving of the equatorial surface of the casing comprises the additional steps of: • capturing a single digital three-dimensional profile of the entire equatorial surface of the casing by means a laser type profilometer, which is arranged in a fixed position in front of the equatorial surface of the casing; and • determining the presence and location of the damage on the equatorial surface of the casing by analyzing the digital three-dimensional profile of the equatorial surface captured by the laser type profilometer; the step of skiving the equatorial surface of the casing where there is the damage comprises the further steps of: • carrying the tool of the automatic skiving device to the point of damage in order to hollow out the equatorial surface of the casing and therefore create a corresponding crater; • capturing a first digital color image of the crater generated by skiving the damage by means of the digital color camera; and • analyzing the first digital color image in search of the presence of any rust inside the crater. removing the old worn tread from the pneumatic tyre in order to expose the equatorial surface of the casing of the pneumatic tyre; electronically identifying the presence and location of any damage on the equatorial surface of the casing; and skiving the equatorial surface of the casing where there is damage resulting in the formation on the equatorial surface of craters by means of an electronically controlled automatic skiving device that is driven as a function of the location of the damage on the equatorial surface of the casing; the method is characterized in that the step of electronically identifying the presence and location of a damage on the equatorial surface of the casing before skiving of the equatorial surface of the casing comprises the additional steps of: • capturing a single digital three-dimensional profile of the entire equatorial surface of the casing by means a laser type profilometer, which is arranged in a fixed position in front of the equatorial surface of the casing; and • determining the presence and location of the damage on the equatorial surface of the casing by analyzing the digital three-dimensional profile of the equatorial surface captured by the laser type profilometer; • capturing a single digital three-dimensional profile of the entire equatorial surface of the casing by means a laser type profilometer, which is arranged in a fixed position in front of the equatorial surface of the casing; and • determining the presence and location of the damage on the equatorial surface of the casing by analyzing the digital three-dimensional profile of the equatorial surface captured by the laser type profilometer; the step of skiving the equatorial surface of the casing where there is the damage comprises the further steps of: • carrying the tool of the automatic skiving device to the point of damage in order to hollow out the equatorial surface of the casing and therefore create a corresponding crater; • capturing a first digital color image of the crater generated by skiving the damage by means of the digital color camera; and • analyzing the first digital color image in search of the presence of any rust inside the crater. • carrying the tool of the automatic skiving device to the point of damage in order to hollow out the equatorial surface of the casing and therefore create a corresponding crater; • capturing a first digital color image of the crater generated by skiving the damage by means of the digital color camera; and • analyzing the first digital color image in search of the presence of any rust inside the crater.