A first attempt at a new algebraic solution of the exterior orientation of photogrammetry

Abstract

A new, alternative solution of the exterior orientation in photogrammetry is given. The exterior orientation of sensors (e.g. camera-systems) is one of the basic tasks of photogrammetry. The parameters for exterior orientation can be determined from the mathematical equations between the image coordinates and the corresponding object or ground coordinates. The mathematical models for this problem have been available since decades, huge program packages utilize the methods which have proved to be successful in practice. In spite of this we propose in this work an alternative solution which does not use iteration and approximative data. The equations in this work are in coherence with the photogrammetric theory of exterior orientation, the only difference is in the mathematical solution. This kind of mathematical treatment of the problem can be considered as novel, its practical application may come later.