Determination of Perspective Generating Parameters

A photogrammetric method for the determination of the generating parameters of a photograph is presented. The generating parameters are defined as six independent coordinates from which a photograph may be geometrically reproduced by considering a large number of points in the three-dimensional object space and transforming these to the two-dimensional space of the photograph. These parameters consist of the coordinates of the point where the camera is located, the symmetric equations of the line along the optical axis of the camera, and a linear scale factor associated with the photograph, enlarged to any magnification. The desired six parameters are iteratively determined by the method of least squares by considering five or more points in the object space whose rectangular coordinates are known or may be estimated with a high degree of accuracy. Good agreement with experimental results was obtained and an application is described.