A user interface includes both a touchscreen for tactile input and one or more lensless optical sensors for sensing additional, remote gestures. Users can interact with the user interface in a volume of space near the display, and are thus not constrained to the relatively small area of the touchscreen. Remote hand or face gestures can be used to turn on or otherwise alter the tactile user interface. Shared user interfaces can operate without touch, and thus avoid cross-contamination of e.g. viruses and bacteria.