Abstract: The main task in photogrammetry is the reconstruction of 3D objects from 2D photographic or scanned images. Images must be orientated as a prerequisite for such a reconstruction. This paper presents a new method using spatial curves for object reconstruction and image orientation, complementing common methods based on distinct points. The first part of this paper deals with the representation of multi-dimensional free-formed curves by joined cubic polynomials. The interpolation and the parametrization of the representational curve are examined in detail. Additionally, observation equations of the adjusting curve are formulated. The second part of this paper is concerned with the application of the theory into the program system ORIENT. Finally two examples illustrate the process of image orientation and object reconstruction using this new method. !6
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