Provided is a comparator circuit that is capable of operating at high speed and canceling an offset voltage with high precision. The algorithm is configured to generate at least first and second image data subsets with distortion using the image data such that the first and the second image data subsets are configured to cause an image corresponding to the image data to be reproduced without the distortion in response to being simultaneously displayed with first and second projection devices, respectively. The head includes a through hole with an internal thread. The transistor is electrically coupled to a second terminal of the resistive device and the amplifier stage.