A projector comprising: a laser beam scanning portion scanning a laser beam having an image formation pattern for forming an image on a projection surface; a light detecting portion receiving reflected light of the laser beam scanned by the laser beam scanning portion, reflected by a detection object; and a control portion performing control of predicting a prediction region (10a, 10b, 10c, 10d) where the detection object exists on the basis of detection of the detection object, changing a gradation value of the laser beam to a detection object detection pattern when the laser beam is scanned on the prediction region, acquiring a position of the detection object on the basis of the reflected light of the laser beam emitted in the detection object detection pattern, and setting the position of the detection object to an indication position indicated by the detection object; characterized in that the control portion is configured to (i) acquire a line segment passing through a region where the detection object exists by acquiring a plurality of detection positions of the detection object which is obtained based on the reflected light of the laser beam emitted in the detection object detection pattern in each of a plurality of scanning lines of the laser beam scanned by the laser beam scanning portion, (ii) set an intersection between the line segment and a first scanning line in which the detection object is detected to the indication position indicated by the detection object, and (iii) set a section (11a, 11b, 11c, 11 d) in which the laser beam is set to the detection object detection pattern in the prediction region (10a, 10b, 10c, 10d) in a scanning line scanned subsequent to a prescribed scanning line based on the detection of the detection object in the prescribed scanning line. a laser beam scanning portion scanning a laser beam having an image formation pattern for forming an image on a projection surface; a light detecting portion receiving reflected light of the laser beam scanned by the laser beam scanning portion, reflected by a detection object; and a control portion performing control of predicting a prediction region (10a, 10b, 10c, 10d) where the detection object exists on the basis of detection of the detection object, changing a gradation value of the laser beam to a detection object detection pattern when the laser beam is scanned on the prediction region, acquiring a position of the detection object on the basis of the reflected light of the laser beam emitted in the detection object detection pattern, and setting the position of the detection object to an indication position indicated by the detection object; characterized in that the control portion is configured to (i) acquire a line segment passing through a region where the detection object exists by acquiring a plurality of detection positions of the detection object which is obtained based on the reflected light of the laser beam emitted in the detection object detection pattern in each of a plurality of scanning lines of the laser beam scanned by the laser beam scanning portion, (ii) set an intersection between the line segment and a first scanning line in which the detection object is detected to the indication position indicated by the detection object, and (iii) set a section (11a, 11b, 11c, 11 d) in which the laser beam is set to the detection object detection pattern in the prediction region (10a, 10b, 10c, 10d) in a scanning line scanned subsequent to a prescribed scanning line based on the detection of the detection object in the prescribed scanning line.