A device for detecting infrared radiation comprising an array of bolometers for detecting radiation; and in order to read each bolometer, a signal shaping circuitry comprising: a circuitry capable of biasing the bolometer at a predetermined voltage in order to make current flow therethrough; a circuitry capable of generating a common-mode current; and a circuitry capable of integrating the difference between the current that flows through the bolometer and the common-mode current. According to the invention, the device comprises a circuitry capable of injecting current into each bolometer in order to shift its resistance by a predetermined quantity that depends on its offset, current injection being performed prior to readout biasing of the bolometer and the shift being performed according to the direction in which the bolometer's resistance varies as a function of temperature. In addition, correction circuitry is capable of shifting the resistances of bolometers towards a common value.