A system for implementing a display which also serves as one or more of a tactile user interface touchscreen, light-field sensor, proximate hand gesture sensor, and focusing lensless light-field imaging camera using image formation systems and methods such as those taught in the inventor's related patents as cited. In an implementation, an OLED array or LED array that can comprise photosensors that can be used for light sensing as well as light emission functions. The resulting arrangements are advantageous for use in handheld devices such as cellphone, smartphones, PDAs, tablet computers, and other systems and devices.