An object in a hot atmosphere with a temperature greater than 400 F in a gas turbine moves in a 3D space. The movement may include a vibrational movement. The movement includes a rotational movement about an axis and a translational movement along the axis. Images of the object are recorded with a camera, which may be a high-speed camera. The object is provided with a pattern that is tracked in images. Warpings of sub-patches in a reference image of the object are determined to form standard format warped areas. The warpings are applied piece-wise to areas in following images to create corrected images. Standard tracking such as SSD tracking is applied to the piece-wise corrected images to determine a movement of the object. The image correction and object tracking are performed by a processor.