1. An information processing device comprising: a processor; and a memory which stores a plurality of instructions, which when executed by the processor, cause the processor to execute, acquiring a captured image captured by a camera; measuring a three-dimensional coordinate position of a manipulating object included in the captured image acquired by the acquiring; and controlling a projector to display an image on the manipulating object based on a distance between the three-dimensional coordinate position measured by the measuring and a border of a three-dimensional area in which the three-dimensional coordinate position of the manipulating object is capable of being measured, determined by the camera.