The invention relates to computer data processing, and more particularly to methods of displaying an augmented reality object based on an original image, which involves generating a 3D model of an augmented reality object; obtaining a plurality of individual fragments of an image of a real-world object, where each fragment is a partial photographic image of the real-world object, obtained using a camera; generating a two-dimensional image of the real-world object by aligning the obtained image fragments; generating a transformation matrix for transforming the coordinates of the two-dimensional image of the real-world object into intrinsic coordinates corresponding to coordinates of the 3D model; and, using the coordinate transformation matrix, coloring elements of the 3D model of the augmented reality object in accordance with the colors of the corresponding elements of the real-world object, where coloring is carried out by texturing areas of the 3D model of the augmented reality object.