Abstract
In this study, we will consider Three Point Resection in 3D with Distances. This problem is also called Space Resection. The problem of determining the position continues to be the most important problem of geodesy. With the development of measuring instruments and techniques, the widespread use of electronic distance meters, the precise and rapid computation possibilities provided by artificial ground satellites and computers, the segmented approach in the positioning problem (separate calculation of horizontal and vertical coordinates) has left the place as an integrated approach, three dimensional coordinates have begun to be calculated together. The problem of position determination is done either in the form of basic homework or (usually) predictions. It is also possible to calculate the three-dimensional coordinates of the points by the proposed resection method.
Highlights
The problem of geodesic positioning problem was resolved separately as horizontal positioning and vertical positioning.due to the widespread use of electronic distance meters, artificial ground satellites, and accurate and fast computation possibilities provided by computers, the piecewise approach of locating has left the place as an integrated approach and the three-dimensional coordinates of the points have begun to be calculated together.Proposed method is iterative based
Due to the widespread use of electronic distance meters, artificial ground satellites, and accurate and fast computation possibilities provided by computers, the piecewise approach of locating has left the place as an integrated approach and the three-dimensional coordinates of the points have begun to be calculated together
There are a few studies on closed solutions in the literature [17],[18],[19]
Summary
The problem of geodesic positioning problem was resolved separately as horizontal positioning and vertical positioning. It is possible to solve this problem by taking advantage of the measured slope lengths. In this case, the problem is referred to as space re-traction. The problem is referred to as space re-traction In this method, the three-dimensional coordinates are to be calculated between a point P and at least three points such as A(ya,xa,za), B(yb,xb,zb) ve C(yc,xc,zc) The 3D coordinates of the P (yp,xp,zp) point can be calculated by the da, db, dc slope distance measure. For the solution of the problem, the slope length equation between the following two points written for each measure. The approximate values yo,xo,zo of the unknowns (coordinates of the point P) are selected. The tool height must be subtracted separately from the calculated Z value
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