Abstract: Described is a process for reconstructing the movement of an individual who walks inside a space and who carries a device equipped with inertial sensors and a virtual representation (M) of the space. The process comprises: —an acquisition step of a first reference position (Pr1) and by choice: a first reference direction (vr1) associated with the first reference position (Pr1) or a second reference position (Pr2); —a detection step which comprises detecting, by means of the inertial sensors, a direction of movement for each step made by the individual; —a reconstruction step which comprises forming a trajectory (100) of the path of the individual, as a sequence of vectors (V1, V2, Vm); —an estimation step.

Abstract: A method determines running phases of a user on a treadmill having first and second rotating elements rotating about respective rotational axes transverse to a longitudinal axis of the treadmill. A physical exercise surface connects to the rotating elements. An electric motor operatively associated with one rotating element rotates the rotating elements and the physical exercise surface. A processor connects to the electric motor and controls the electric motor. The processor determines a magnitude variable over time, which is correlated to user interaction with the exercise surface while exercising and has a periodic trend. The processor determines time instants of at least two points of the periodic trend. The time instants of each point representing instants of user interaction with the exercise surface. The processor determines a running phase of the user on the exercise surface as a function of the respective time instants of the periodic trend.

Abstract: The present invention relates to a calibration method of magnetic sensors, for removing from the measurements the so-called “bias” and obtaining the actual measurement of the magnetic field. This method, in addition to measurements of such magnetic sensors, uses measurements of angular rotation sensors available in various types of commercial devices including smartphones. The present invention also relates to a corresponding system for determining the instantaneous real time orientation and/or position of a mobile device with respect to a magnetic field.