Projector and method for projecting an image pixel by pixel

A projector comprising:

• a control unit;
• a light diode device;
• an infrared diode device, wherein the control unit is configured to control (a) the light diode device, on a pixel by pixel basis, to emit visible light, pixel by pixel, based on an image to be projected, and (b) the infrared diode device, based on the image to be projected and on a back radiation model, to emit the infrared radiation pixel by pixel, the control being performed in such a way that a setpoint back radiation intensity measuring signal to be expected pixel by pixel for an actual back radiation intensity measuring signal has a predetermined value for predetermined pixels;
• a radiation intensity detection device configured to:
• detect, pixel by pixel, a back radiation intensity of reflected visible light and of reflected infrared radiation;
• and
• generate the actual back radiation intensity measuring signal, pixel by pixel, based on the detected back radiation intensities;
• and
• a gesture detection device, wherein the gesture detection device is configured to detect a control gesture based on the pixel-by-pixel generated actual back radiation intensity measuring signals of the predetermined pixels, and to transmit a control signal based on the detected control gesture to the control unit, which is operable or adaptable based on the transmitted control signal.