Stereophotogrammetry for 2-D building deformation monitoring using Kalman Filter Cover

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Stereophotogrammetry for 2-D building deformation monitoring using Kalman Filter

Reports on Geodesy and Geoinformatics

Volume 110 (2020): Issue 1 (December 2020)

By: J. O. Odumosu , O. O. Adeleke, V. C. Nnam, O. J. Avoseh and O. A. Ogundeji

Open Access

|Aug 2020

Figures & Tables

Study area location

Description of traverse from known stations to selected GCPs

Illustrative view of data acquisition

Detected movements at PCP “A”–“D”

Results of space resection and ground measurement in the first epoch given in metres

Point	Ground Measurement		Photo Generated		Residuals

	Easting	Height	Easting	Height	Easting	Height
A	220115.351	235.907	220115.111	236.033	0.240	−0.126
B	220079.639	236.513	220079.622	236.454	0.017	0.059
C	220018.515	236.567	220018.542	236.552	−0.027	0.015
D	219989.901	236.071	219989.825	236.067	0.076	0.004

Results of space resection and ground measurement in the second epoch given in metres

Point	Ground Measurement		Photo Generated		Residuals

	Easting	Height	Easting	Height	Easting	Height
A	220115.351	235.907	220115.863	235.960	−0.512	−0.053
B	220079.639	236.513	220079.655	236.513	−0.016	0.000
C	220018.515	236.567	220018.832	236.780	−0.317	−0.213
D	219989.901	236.071	219989.195	236.373	0.706	−0.302

Parameters of Polynomial Transformation

Easting Coordinate		Height Coordinate

Parameter	Value	Parameter	Value
C0	220124.628	D0	243.094
C1	−0.04	D1	−0.000251
C2	−0.07	D2	−0.016352
C3	0.00008206	D3	0.00000012

Results of Kalman filter analysis

	Initial State Vector	Next State Vector	Final State Vector
X	220115.111	220115.863	220116.199
Z	236.033	235.96	236.084
V_x	0.0000001984	0.0000004233	0.0000011648
V_z	0.0000001042	0.0000000438	0.0000010805

X₂	220079.622	220079.655	220079.123
Z₂	236.454	236.513	236.743
V_x	0.0000000141	0.0000000132	0.0000033623
V_z	0.0000000488	0.000000000000	0.000001315311

X₃	220018.542	220018.832	220017.728
Z₃	236.552	236.78	236.214
V_x	0.0000000223	0.0000002621	0.0000071106
V_z	0.0000000124	0.0000001761	0.0000011012

X₄	219989.825	219989.195	219990.067
Z₄	236.067	236.373	236.079
V_x	0.0000000628	0.0000005837	0.0000004696
V_z	0.0000000033	0.0000002497	0.0000009152

Detected horizontal and vertical motions at the epochs

		A	B	C	D
Epoch 1	V_x [m/epoch]	1.984e-7	1.41e-8	2.23e-8	6.28e-8
	V_z [m/epoch]	1.042e-7	4.88e-8	1.24e-8	3.3e-9
	Remarks	Stable	Stable	Stable	Stable

Epoch 2	V_x [m/epoch]	4.233e-7	1.32e-8	2.621e-7	5.837e-7
	V_z [m/epoch]	4.38e-8	0	1.761e-7	2.497e-7
	Remarks	Ins. Mov.	Stable	Ins. Mov.	Ins. Mov.

Epoch 3	V_x [m/epoch]	1.1648e-6	3.3623e-6	7.1106e-6	4.696e-7
	V_z [m/epoch]	1.0805e-6	1.3153e-6	1.1012e-6	9.152e-7
	Remarks	Ins. Mov.	Ins. Mov.	Ins. Mov.	Ins. Mov.

Accuracy of initial traverse for determination of the coordinates of GCPs

Parameter	Obtained	Remarks
Misclosure in Easting	0.005 m	Acceptable
Misclosure in Northing	−0.045 m	Acceptable
Linear Accuracy	1:3000	Acceptable

Results of space resection and ground measurement in the third epoch given in metres

Point	Ground Measurement		Photo Generated		Residuals

	Easting	Height	Easting	Height	Easting	Height
A	220115.351	235.907	220115.199	236.084	−0.152	0.177
B	220079.639	236.513	220079.123	236.743	−0.516	0.23
C	220018.515	236.567	220017.728	236.214	−0.787	−0.353
D	219989.901	236.071	219990.067	236.079	0.166	0.008

Materials used for the study

Material	Data Type	Collection method	Accuracy
Coordinates of Ground control points (GCPs)	Primary data	Field survey	1:3000
Coordinates of photo control points (PCPs)	Primary data	Overlapping photographs	±0.0001 m
Digital camera	Primary data	Perspective projection	—

Observed and photo-generated coordinates for all three observation epochs

Point	Ground Measurement		Photo Generated Epoch 1		Photo Generated Epoch 2		Photo Generated Epoch 3

	Easting [m]	Height [m]	Easting [m]	Height [m]	Easting [m]	Height [m]	Easting [m]	Height [m]
A	220115.351	235.907	220115.111	236.033	220115.863	235.960	220115.199	236.084
B	220079.639	236.513	220079.622	236.454	220079.655	236.513	220079.123	236.743
C	220018.515	236.567	220018.542	236.552	220018.832	236.780	220017.728	236.214
D	219989.901	236.071	219989.825	236.067	219989.195	236.373	219990.067	236.079

DOI: https://doi.org/10.2478/rgg-2020-0006 | Journal eISSN: 2391-8152 | Journal ISSN: 0867-3179

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Language: English

Page range: 1 - 7

Submitted on: Mar 8, 2020

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Accepted on: Jun 26, 2020

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Published on: Aug 7, 2020

Published by: Warsaw University of Technology

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

stereo-photogrammetry,

Related subjects:

Computer sciences,

Computer sciences, other,

Cartography and photogrammetry,

Geosciences, other

© 2020 J. O. Odumosu, O. O. Adeleke, V. C. Nnam, O. J. Avoseh, O. A. Ogundeji, published by Warsaw University of Technology
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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