A Study of Random Network Models. Computer Routines for Determining Model Coordinates from Angle Measurements

摘要

Angle measurements are made with a surveyor's transit (theodolite) to determine coordinates of centers and vertices in a tetrahedral network model. These measurements on the model, and also on a set of fixed calibration points, are made from two transit positions. In addition, the distances between a number of pairs of calibration points are carefully measured and the distance from the transit center in each position to each of the calibration points is measured approximately. Calculation of coordinates involves three computational steps: (1) refining the approximate calibration point-transit distances; (2) determining the rotation-translation matrix relating the coordinate systems defined by the two transit positions; and (3) calculating coordinates of all points from the angle data. The calculation is done as previously outlined, except that three rotational parameters are adjusted in each refinement of the matrix in step (2). Computer routines for the three steps, and for the preliminary correction of elevation angles, are given in FORTRAN IV. (Author)