Accuracy Analysis of Low Altitude Photogrammetry with Wide-angle Camera

doi:10.11947/j.JGGS.2018.0104

Abstract

Abstract:

Firstly, the relationship between the accuracy of low altitude aerial photogrammetry and the field angle of camera is made by a quantitative analysis from the theory. The conclusion that the low altitude photogrammetry should use wide-angle camera as much as possible is done. Then, the limitation of the single lens camera to expand field angle and the combined wide-angle camera existing on the market not suitable for light load of low altitude UAV(Unmanned Aerial Vehicle) due to excessive weight are pointed out. The characteristics of combined wide-angle low altitude light camera with self-calibration and self-stabilization developed by the author are described, especially the principle of self-calibration for the combination of static error and dynamic error. Based on the practice of large scale mapping, a technical procedure in aerial photography by taking with wide-angle camera and large overlap simultaneously for improving the accuracy of low altitude photogrammetry is proposed. The typical engineering produced data is used to verity the above theoretical analysis. A technical route for increasing accuracy of low altitude photogrammetry with combined wide-angle camera is expounded.

Key words: low attitude photogrammetry; composed wide-angle camera; computational reproduced imagery; self-calibration; self-stability; accuracy analysis

Zongjian LIN,Feifei XIE,Guozhong SU. Accuracy Analysis of Low Altitude Photogrammetry with Wide-angle Camera[J]. Journal of Geodesy and Geoinformation Science, 2018, 1(1): 30-38.

Figures/Tables 15

Tab.1

The error weight reciprocal of the elements of relative orientation and related items"

	Q_φ	Q_φ'	Q_ω'	Q_κ	Q_κ'
Q_φ	$f 2 2 b 2 d 2$	0	0	0	0
Q_φ'	0	$f 2 2 b 2 d 2$	0	0	0
Q_ω'	0	0	$3 f 2 4 d 4$	$f 2 b d 2 1 + 3 f 2 2 d 2$	$f 2 b d 2 1 + 3 f 2 2 d 2$
Q_κ	0	0	$f 2 b d 2 1 + 3 f 2 2 d 2$	$1 b 2 23 + f 2 d 2 + 3 f 4 4 d 4$	$1 b 2 13 + f 2 d 2 + 3 f 4 4 d 4$
Q_κ'	0	0	$f 2 b d 2 1 + 3 f 2 2 d 2$	$1 b 2 13 + f 2 d 2 + 3 f 4 4 d 4$	$1 b 2 23 + f 2 d 2 + 3 f 4 4 d 4$

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Field angle (2θ)	tgθ	Q_φφ	Q_φ'φ'	Q_ω'ω'	Q_κκ	Q_κ'κ'	Q_ω'κ	Q_ω'κ'	Q_κκ'
26°	0.23	1/0.10d²	1/0.10d²	Ji2	209/b²	209/b²	50/d²	50/d²	208/b²
38°	0.34	1/0.24d²	1/0.24d²	1/0.16d²	69.7/b²	69.7/b²	22/d²	22/d²	69.3/b²
53°	0.50	1/0.50d²	1/0.50d²	1/0.33d²	16.7/b²	16.7/b²	7/d²	7/d²	16.3/b²
74°	0.75	1/1.12d²	1/1.12d²	1/0.75d²	4.38/b²	4.38/b²	2.5/d²	2.5/d²	4.5/b²
90°	1.00	1/2.00d²	1/2.00d²	1/1.33d²	2.4/b²	2.4/b²	1.25/d²	1.25/d²	2.1/b²

Field angle(2θ)	σ_φ=σ_φ'	σ_ω'	σ_κ=σ_κ'
26°	0.0042°	0.0051°	0.0230°
38°	0.0032°	0.0038°	0.0138°
53°	0.0022°	0.0026°	0.0065°
74°	0.0015°	0.0018°	0.0033°
90°	0.0010°	0.0012°	0.0026°

Matching aera	The residuals before self-calibration(p)	The residuals after self-calibration (p)	Error before self calibration (p)	Error after self calibration (p)
1	-9.0000	0.1643	RMS=7.1327	RMS=0.1159
2	-11.3000	0.1590
3	-13.0000	-0.0926
4	4.7258	0.1878
5	9.0000	0.0145
6	8.0000	-0.1231

Control points ID	The residuals/m						Pass points ID		The residuals/m
Control points ID	Rx		Ry		Rz		Pass points ID		Rx		Ry		Rz
112		0.008		0.001		-0.004		20000007		0.005		-0.014		0.013
113		0.006		-0.005		0.006		20000008		0.005		-0.013		0.012
114		0.005		0.001		-0.003		20000009		0.006		0.021		-0.016
115		0.012		0.004		-0.004		20000010		0.003		0.019		-0.014
…		…		…		…		…		…		…		…
RMS		0.010		0.007		0.008		The standards parallas error of pass points: RMS(pixel):Sigma=0.03

Image width /pixel	Field view angle /(°)	Points used for relative orientation/ma tching points	Elements of relative orientation			Error of relative orientation
Image width /pixel	Field view angle /(°)	Points used for relative orientation/ma tching points	Line element/m x y z Angle element/(°) φ ω κ			Line element/m m1 Angle element/(°) m2
7168	121.7	111/1365	38.313	29.937	-0.858	0.067	0.033
7168	121.7	111/1365	2.056	-0.864	-3.795	0.067	0.033
4886	101.4	108/1254	38.322	29.928	-0.825	0.075	0.049
4886	101.4	108/1254	2.075	-0.885	-3.803	0.075	0.049
3996	89.9	42/909	38.325	29.936	-0.821	0.072	0.064
3996	89.9	42/909	2.088	-0.909	-3.808	0.072	0.064