Zusammenfassung
Summary
Numerous solutions are available for solving the two-dimensional resection problem from measurements solely consisting of horizontal directions to target points with known coordinates (plane reverse section). A practical and numerically stable determination of the three-dimensional resection problem from horizontal and vertical directions is still difficult today. For this, a simple solution is offered here. The solution is unique using common assumptions. However, under certain circumstances (»dangerous locations«), errors in measurements and coordinates can lead to the wrong decision for ambiguous solutions. The usability of the solution idea is examined and verified by using the data of the test network »Stuttgart Central« as well as simulated and real data of the near range. Examples for Gauss-Markov adjustment and for Gauss-Helmert adjustment are given and applied. The three-dimensional resection approach is also useful for directional observation with photogrammetric cameras. A detailed photogrammetric publication is in preparation.