SWS Academic Research eLibraryEarth & Planetary Sciences

Scholarly record

VERIFICATION OF GEODETIC POINTS USING GPS MEASUREMENTS

J. Sabova, V. Jakub

First published: 2005DOI pendingView metrics

Abstract

The good functionality (applicability) of a geodetic point can be characterized by its compatibility. Compatibility of a geodetic point can be defined by the 2D or 3D geometric coincidence between (Jakub 2001, Jakub-Sabova 2004): a) the immaterial point given by coordinates for a geodetic point in a reference frame; b) the material point defined by the physical mark of this geodetic point. These two points should be geometrically identical in horizontal plane (2D) or space position (3D). They have but really different (non-coincidence) relations at each geodetic point. The reliable differences between the both positions a), b) can be expressed by the coordinate differences (discrepancies) dC=CВґ-C i.e. [dX dY dZ]= [XВґYВґZВґ]-[XYZ] between the point coordinates C from the database and from the present measurements CВґ.The differences dC at points can reach values from some mm up to unacceptable values of some cm. In the contemporary geodetic networks (epoch tВґ) there are always some points which do not already fulfil the compatibility requirements. This is typical above all for the networks established and concentrated in the past (epoch t). Point uncompatibility, that indicates properly its inapplicability in the present, can be caused e.g. owing to unaccurate coordinate determination in epoch t, point carrier movements in the period tВґ- t, various datum influences and other causes. It is therefore necessary always to verify all the "given" points before their use in the present geodetic activities and to employ the compatible points only. The use of incompatible points in a network adjustment causes a lot of biased coordinate estimates whose identification in the results represents a cumbersome and uncertain task that has any unified methodical solution.

Publication details

Title
VERIFICATION OF GEODETIC POINTS USING GPS MEASUREMENTS
Authors
J. Sabova, V. Jakub
Proceedings
5th International Scientific Conference - SGEM2005
Publisher
SGEM Scientific GeoConference
Year
2005
Pages
615-620
ISSN
1314-2704
ISBN
954-918181-2
Language
en
Publication type
Conference Paper
Proceedings contents
Open official contents
References1
  1. frame; b) the material point defined by the physical mark of this geodetic point. These two points should be geometrically id entical in horizontal plane (2D) or space position (3D). They have but really diffe rent (non-coincidence) relations at each geodetic point. The reliable differences be tween the both positions a), b) can be expressed by the coordinate differences (d iscrepancies) dC=C´-C i.e. [dX dY dZ]= [X´Y´Z´]-[XYZ] between the poi nt coordinates C from the database and from the present measurements C´.The differences dC at points can reach values from some mm up to unacceptable values of some cm. In the contemporary geodetic networks (epoch t´) there are always some points which do not already fulfil the compatibility requirements. This is typical above all for the networks established and concentrated in the past (epoch t). Point uncompatibility, that indicates properly its inapplicability in the present, can be caused e.g. owing to unaccurate coordinate determination in epoch t, point carrier movements in the period t´ - t, various datum influences and other causes. It is therefore necessary always to ve rify all the "given" po ints before their use in the present geodetic activities and to employ the compatible points only. The use of incompatible points in a netw ork adjustment causes a lot of biased coordinate estimates whose id entification in the results re presents a cumbersome and uncertain task that has any unified methodical solution. VERIFICATION PRINCIPLES OF POINT COMPATIBILITY Plane or space differences among the coordinates of geodetic points and their marks can be acceptably described by differe nces dC between their 2D or 3D known coordinates C from epoch t and their coordinates C´ determined in epoch t´ .These coordinate differences (discrepancies, "residuals" in the competent adjustment processes) can be explained by relations dC = C´– C = [X ,Y]´- [X ,Y]=[X´-X ,Y´-Y]=[dX ,dY] (1) dC = C´– C = [X ,Y, Z]´- [X ,Y ,Z]=[X´-X, Y´-Y ,Z´-Z]=[dX, dY, dZ], and the quantities dC can be taken as in dicators of point compatibility. Using for apreciation of the vector dC reliable deci sion procedures based on probability theory International Conference of Modern Management of Mine Producing, Geology and Environmental Protection

View or Download full articleAccess options
Full paper accessChoose SWS login, librarian support, or instant article download.

SWS access login

Login as SWS Scientific Committee

Authors and approved SWS contributors will read and export their own linked papers after identity matching by SWS profile, email and SGEM GlobalID.

For librarian assistance: [email protected]

Purchase Instant Access

48-hour online accessComing soon
Online-only accessComing soon
Download the full article in PDF formatEUR 35
  • Article can be downloaded after successful payment.
  • Article may be used according to SWS library access terms.
  • Article cannot be redistributed.
Get full paper

Back to publication list