Adjustment of Horizontal Control Point Networks by Partitioning [antikvár]

ADJUSTMENT OF HORIZONTAL CONTROL POINT NETWORKS BY PARTITIONING I. Bánhegyi—K. Dede Institute of Geodesy, Technical University, Budapest, H-1521 (Received: Marcii 2, 1981) Presented by Prof. Dr. Péter Biró Adjustment of horizontal control point networks is expediently made by the indirect measurement method. This choice is supported by two factors. First, because network adjustment by indirect measurements is rather suit-able fór computer processing, second, confidence indices necessary fór preci-sion testing the network are easier obtained by this method than by direct adjustment. In the adjustment of greater — national or Continental — networks, the solution of the normál equation systems presents the greatest problem. This can be helped by partitioning (cutting up) the coefficient matrices of the normál equation [1], This method is alsó serviceable in adjusting smaller networks (for industrial plants or independent networks of motion tests). Its advantages are, partly, the accessibility of normál equations to smaller compu-ters, and partJy, that after repeated measurements of the nets or their fixing by further measurements, the computation needs not be entirely repeated. Since the current use of telemetering instruments working on the physi-eal principle, in generál, networks are measured by combined (direction and distance) measurement. In adjustment, first of all, network point coordinates are determined but in case of applying telemetering instruments, alsó determination of the instru-ment constant may be involved [6]. This study will be concerned with the adjustment of combined networks by partitioning. A possible method of partitioning will be discussed in detail, others may be deduced to the sense. Adjustment of combined networks by partitioning In adjusting indirect measurements, the first step is to determine the preliminary values of unknowns, such as the horizontal coordinates of the points and the orientation angles on all stands applied to direction measure-