System for ultrasound localization of a tool in a workspace, corresponding method and program product

A method for locating a tool in a work space via ultrasound includes associating an ultrasound transmitter to a tool and calculating a position of the tool on the basis of determination of the position of the transmitter. At least three ultrasound receivers for receiving ultrasound signals from the transmitter are set in positions relative to the work space. A calculation of a position of the transmitter includes using a trilateration procedure that includes a change of reference of the positions of the receivers and is carried out to reference them in a second simplified reference system. An unknown point in the second simplified reference system is obtained. A rototranslation of the position of the unknown point obtained from the second simplified reference system is carried out into a first reference system, and a corresponding rototranslation matrix is calculated such that the unknown point is used as position of the transmitter.