Bartlomiej Oszczak
Determination of the point coordinates in 2D geodetic
network solution using methods of reference and transition point indicators
Conference Information: 
9th International Conference “Environmental Engineering”, 22–23 May 2014, Vilnius, LITHUANIA 
Source: 
ICEE2014  International Conference on Environmental
Engineering 
Book Series: 
International Conference on Environmental Engineering
(ICEE) Selected papers 
ISSN: 
eISSN 20297092 online 
ISBN: 
eISBN 9786094576409 
ISBN: 
ISBN 9786094576904 CD 
Year: 
2014 
Publisher: 
Vilnius Gediminas Technical University Press Technika 
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Abstract
A new algorithm for determining of the point coordinates in twodimensional
space in geodetic network solution is presented. Geodetic network solution
should be understood as a system which consists of reference points, transition
points, observations (distances) and the unknown coordinates of the point to be
determined. The definition of a transition point indicator with regard to the
determined point is introduced. Transition point indicator definition is based
on the reference point indicator definitions developed by the author. With the
use of definitions of these point indicators, there is a solution for the sought
point in geodetic network solution. The direct solution without application of
the least squares method is derived. In the proposed solution there is no need
to know the initial approximate location of the determined point, nor the
coordinates of the transition points. In this article the basic principles
of the methods for solving the positioning problem in geodetic network are
presented, and the formulas and their derivation are given. The numerical
example with simulated data and proof confirm the correct performance of
the proposed algorithm. The presented method should be tested with real
measurements in many areas of positioning and navigation as well.
Keywords: Network solution; linear positioning algorithm;
methods of reference point indicators; transition point indicator.
