Pixel shifting refers to various technical methods, either to diminish damage to displays by preventing "burn in" of static images or to enhance resolution of displays, projectors, and digital imaging devices.
See Pixel shifting avoids burn-in explained in detail for both analogue and digital screens.
[1] Pixel shifting has been implemented in video projectors to expand the native 1080p resolution to produce an effectively 4K image on the screen.
[2] Pixel shifting by movement of one or more sensors is a technique to increase resolution[3] and/or colour rendering[4] of image capturing devices.
Currently most consumer imaging devices (cameras, camcorders, smartphones) employ a single multi colour channel sensor, on which the RGB (red, green, blue) pixels are usually arranged in a Bayer pattern.