1. A position detection apparatus comprising: one or more processors programmed to capture an image of a detection area for detecting an indication position of an indicator, detect the indication position of the indicator based on both (i) data of an operation image captured when an indication operation by the indicator is performed in the detection area and (ii) data of a background image captured when the indication operation by the indicator is not performed, thereby improving detection of the indication position by analyzing together the data when the indication operation is performed and the data when the indication operation is not performed, and output the detected indication position of the indicator.