A new type of polarimeter for application in solar physics is described, which combines fast polarization modulation and high spatial resolution using piezoelastic modulators and charge coupled device (CCD) image sensors. The problem of incompatibility between the slow read-out of CCD sensors and fast modulation has been solved. First two-dimensional Stokes Q and V images, free from gain-table noise, and with an rms noise level of about 10$^-3$ have been obtained.