Recovering camera orientation with respect to a known coordinate system is of great significance to photogrammetry and binocular stereo. In binocular stereo, the relative orientation between a camera pair may be obtained from the orientation of each camera with respect to a common frame. In this paper a Fourier technique is presented to determine the orientation of a camera with respect to a calibration object. This technique is limited to orthographic projection, but has two major strengths of; being very accurate, and the camera orientation being entirely decoupled from translation.>