Display suitable to an actual three-dimensional model or a recognition-target object is performed when stereoscopic display of a three-dimensional model is performed while correlated to an image used in three-dimensional recognition processing. After a position and a rotation angle of a workpiece are recognized through recognition processing using the three-dimensional model, coordinate transformation of the three-dimensional model is performed based on the recognition result, and a post-coordinate-transformation Z-coordinate is corrected according to an angle (elevation angle f) formed between a direction of a line of sight and an imaging surface. Then perspective transformation of the post-correction three-dimensional model into a coordinate system of a camera of a processing object is performed, and a height according to a pre-correction Z-coordinate at a corresponding point of the pre-coordinate-transformation three-dimensional model is set to each point of a produced projection image. Projection processing is performed from a specified direction of a line of sight to a point group that is three-dimensionally distributed by the processing, thereby producing a stereoscopic image of the three-dimensional model.