A grid-shaped array of conductor areas is used for capacitive image acquisition. Shielding conductors are disposed in each case between the conductors that are provided for measurement. During a plurality of charging and discharging cycles, the potential is always carried along on the conductors belonging to a respective pixel in order to prevent displacement currents between the shielding capacitors. By way of example, a compensation line with a feedback operational amplifier can be used for identically altering the electrical potentials on the conductors.