<abstract xmlns="http://www.w3.org/1999/xhtml">Modern scanners can perform terrestrial topographic survey with resolution of 1 cm and accuracy of 2 mm in just a few minute‘s time, from the distance of up to 100 meters. However, for surface topographical surveying of large territories or complex industrial objects, it is necessary to conduct geodetic traverses and perform their binding to the points of the geodesic basis. One method of coordinate transferring during surveying is by using the method of inverse linear-angular intersection, which involves the measuring of the respective sides <italic>S</italic>1, <italic>S</italic>2 and the β angle between them. This method is more precise than the classical one, which usually contains centring and reduction errors. The linear-angular intersection method can also be used for many applications in engineering geodesy, for laying geodetic traverses, and for binding to the wall based points of ground-surveying.</abstract>

Modern scanners can perform terrestrial topographic survey with resolution of 1 cm and accuracy of 2 mm in just a few minute‘s time, from the distance of up to 100 meters. However, for surface topographical surveying of large territories or complex industrial objects, it is necessary to conduct geodetic traverses and perform their binding to the points of the geodesic basis. One method of coordinate transferring during surveying is by using the method of inverse linear-angular intersection, which involves the measuring of the respective sides S1, S2 and the β angle between them. This method is more precise than the classical one, which usually contains centring and reduction errors. The linear-angular intersection method can also be used for many applications in engineering geodesy, for laying geodetic traverses, and for binding to the wall based points of ground-surveying.

The accuracy investigation of point coordinates’ determination using a fixed basis for high-precision geodesy binding

Reports on Geodesy and Geoinformatics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Modern scanners can perform terrestrial topographic survey with resolution of 1 cm and accuracy of 2 mm in just a few minute‘s time, from the distance of up to...

Point	x [m]	y [m]	S₁ [m]	S₂ [m]	m_P [mm]
b1	0.0	0.0		S =100 m
b2	0.0	100.0	m_S = 1 mm , m_β = 1ⁿ
p1	0.0	50.0	50.0	50.0	1.0
p2	50.0	50.0	70.7	70.7	1.5
p3	100.0	50.0	111.8	111.8	2.2
p4	100.0	0.0	141.4	100.0	2.3
p5	0.0	-50.0	150.0	50.0	1.5
p6	0.0	-100.0	200.0	100.0	2.5
p7	-100.0	0.0	141.4	100.0	2.2
p8	-100.0	50.0	111.8	111.8	2.0
p9	-50.0	50.0	70.7	70.7	1.5

Point	x [m]	y [m]	S₁ [m]	S₂ [m]	m_P [mm]
b1	0.0	0.0		S = 3000 m
b2	0.0	3000.0	m_S = 1 mm, m_β = 1}
p1	0.0	1500.0	1500.0	1500.0	3.4
p2	1500.0	1500.0	2120.0	2120.0	2.0
p3	3000.0	1500.0	3354.0	3354.0	13.0
p4	3000.0	0.0	4242.0	3000.0	14.0
p5	0.0	-1500.0	4500.0	1500.0	11.0
p6	0.0	-3000.0	6000.0	3000.0	25.0
p7	-3000.0	0.0	4242.0	3000.0	14.0
p8	-3000.0	1500.0	3354.0	3354.0	12.0
p9	-1500.0	1500.0	2120.0	2120.0	2.0

Point	x [m]	y [m]	S₁ [m]	S₂ [m]	m_P [mm]
b1	0.0	0.0		S = 300 m
b2	0.0	300.0	m_S = 0.1 mm, m_β = 1ⁿ
p1	0.0	150.0	150.0	150.0	0.4
p2	150.0	150.0	212.0	212.0	0.2
p3	300.0	150.0	354.0	354.0	2.2
p4	300.0	0.0	424.0	300.0	1.3
p5	0.0	-150.0	450.0	150.0	1.1
p6	0.0	-300.0	600.0	300.0	2.1
p7	-300.0	0.0	424.0	300.0	1.4
p8	-300.0	150.0	353.0	353.0	1.1
p9	-150.0	150.0	212.0	212.0	0.2

The accuracy investigation of point coordinates’ determination using a fixed basis for high-precision geodesy binding

Article Category: Original Article

Published Online: May 11, 2019

Page range: 19 - 23

Received: Feb 11, 2019

Accepted: Mar 28, 2019

DOI: https://doi.org/10.2478/rgg-2019-0003

© 2019 Volodymyr Litynskyi, Svyatoslav Litynskyi, Anatolii Vivat, Mykhailo Fys, Andrii Brydun published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Figure 1

Figure 2

Figure 3

Figure 4

Figure 5

The value of mP of nine characteristic points for Fig. 3

The value of mP of nine characteristic points for Fig. 4

The value of mP of nine characteristic points for Fig. 5