The objective of this paper is to analyse operations of selected algorithms, which will automatically compute elements of external orientation of a network of photographs and then, they will determine co-ordinates of a 3D cloud of points, which describe a model of the analysed object. The authorís software tool has been utilised for calculations; it performs successive stages of the 3D model generation: detection of characteristic points, point matching on successive photographs, determination of a tensor, calibration and 3D point cloud generation. A series of experiments have been performed in order to evaluate selection of the optimum solution. The first stage included distinguishing of characteristic elements on particular photographs; corner detection operators, SIFT and SUSAN were applied for that stage. The next step concerned connection of homological points on neighbouring photographs. The method of implementation of that step is determined by selection of the operator type. The SIFT operator has the dedicated mechanism of pair creation, whilst the SUSAN operator requires creation of separate methods. The Area Base Matching method, modified according to the demands of 3D modelling, was used for the needs of point matching. This method investigates correlation of the background within the neighbourhood of characteristic points and uses the results of that investigations to match the photographs. Basing on data collected this way, the next stage aims at determination of 3D co-ordinates of the cloud of points of the measured object. Two solutions have been presented in this paper. One of them allows for matching photographs in pairs, using the fundamental matrix; the second solution allows for threesome matching of photographs, using the tensor calculus. In practice, the first solution, which determines the model points, turned to be less numerically stable, what may lead to considerable errors of the final model. The second solution is more difficult to use, since it requires that corresponding points are found in at least three photographs. Experiments were performed for selected close range objects, with the appropriate specified geometry of photographs, which created a ring around the measured object.