1. An interactive content control apparatus, comprising: a depth information acquisition unit for acquiring an image that includes depth information by capturing a static background object and a dynamic foreground object, and for calculating depth maps based on respective depth values of the static background object and the dynamic foreground object from the image; a display unit for projecting image content including both a background image and an object image on a surface of the static background object captured by the depth information acquisition unit; and an image mapping unit for recognizing the dynamic foreground object depending on the depth maps based on the depth values calculated by the depth information acquisition unit, and controlling the display unit so that an object image projected on the surface of the static background object is transferred to and projected on a surface of the dynamic foreground object, wherein the image mapping unit comprises: an object image bounding volume management unit for setting and managing an object image bounding volume including the object image in a foreground direction of the object image projected on the static background object; and a foreground/background processing unit for, if, depending on the depth maps based on the depth values calculated by the depth information acquisition unit, the dynamic foreground object is determined to collide with the object image bounding volume, controlling the display unit so that the object image projected on the surface of the static background object is transferred to and projected on the surface of the dynamic foreground object, wherein the foreground/background processing unit comprises: a foreground object recognition unit for recognizing a location and movement direction of a dynamic foreground object present in the foreground direction of the static background object, depending on the depth maps based on the depth values calculated by the depth information acquisition unit; a foreground object bounding volume setting unit for setting a foreground object bounding volume including the dynamic foreground object recognized by the foreground object recognition unit; a bounding volume collision determination unit for, if the object image bounding volume and the foreground object bounding volume overlap each other by a preset threshold or more, and if the movement direction of the dynamic foreground object is the foreground direction, determining that the dynamic foreground object collides with the object image bounding volume; and a foreground/background switching unit for, if it is determined by the bounding volume collision determination unit that the dynamic foreground object collides with the object image bounding volume, controlling the display unit so that the object image projected on the surface of the static background object is transferred to and projected on the surface of the dynamic foreground object.