A position measurement system for determining 2D displacement or position of a mobile element with respect to a reference frame, including: a point light; an optical mask having transparent and opaque areas defining a repetitive pattern on at least one side of its surfaces; an imager, fixed to a mobile element, including integrated electronic circuits allowing detection, computing and analyzing of a shadow projected by the optical mask. The position measurement system includes an optical diffuser plate between the light source and the mask. The imager, mask and diffuser plate form an assembly so as to produce a light spot created by the scattering of the incident light beam emitted by the light source on the diffuser plate. The mask positioned between the diffuser plate and imager, produces a shadow on the imager, allowing to compute and provide 2D position of the mobile element relative to the fixed reference frame.