System for registering a first coordinate system with a second coordinate system, the system including a first medical positioning system for detecting a first position and orientation of the body of a patient, a second medical positioning system for detecting a second position and orientation of the body, and a registering module coupled with a medical intervention device and with the second medical positioning system, the first medical positioning system being associated with and coupled with an imager, the imager acquiring an image of the body, the registering module registering the first coordinate system with the second coordinate system, according to the first position and orientation and the second position and orientation.