An information processing device according to an embodiment of the present invention includes a detection unit, a calculation unit, a determination unit, and an estimation unit. The detection unit detects each three-dimensional position of a plurality of parts of an instruction object for indicating an image output surface. The calculation unit calculates an intersection point of a direction indicated by the instruction object and the image output surface based on each three-dimensional position of the parts of the instruction object. The determination unit determines whether the intersection point is within a predetermined range on the image output surface. The estimation unit estimates a position indicated by the instruction object on the image output surface based on the determination made by the determination unit.