An equipment for automatically feeding parcels to a sorting conveyor, the equipment having a platform for temporarily storing a pile of parcels arranged loosely, a first vision system designed to form a digital image of the loose pile of parcels while the pile is stationary on the platform, a processor unit having setting data for responding to the digital image by identifying a parcel for singulating that presents a grip face that is not covered by another parcel, and by supplying indicative data about the three-dimensional position, the orientation in three dimensions, and the dimensions of the grip face, and a pneumatic gripper head of a robotic arm that is controlled on the basis of the data so as to take hold of the parcel for singulating by its grip face.