Three-Dimensional Reconstruction Method Based on Smartphone Imaging

Camera type		Camera parameter
Camera type		Internal reference matrix	Radial distortion	Tangential distortion
Smartphone camera		$\begin{matrix} [\begin{matrix} 3387.179 & 0 & 0 \\ 2.064 & 3390.172 & 0 \\ 1908.387 & 1518.184 & 1 \end{matrix}] \end{matrix}$	$\begin{matrix} [\begin{matrix} 0.3421 & - 1.8547 & 0.5462 \end{matrix}] \end{matrix}$	$\begin{matrix} [\begin{matrix} - 0.0133 & - 0.0086 \end{matrix}] \end{matrix}$
Industrialcamera	Leftcamera	$\begin{matrix} [\begin{matrix} 7344.064 & 0 & 0 \\ - 0.176 & 7394.558 & 0 \\ 1254.329 & 1134.072 & 1 \end{matrix}] \end{matrix}$	$\begin{matrix} [\begin{matrix} 0.0384 & - 0.0250 & - 0.0587 \end{matrix}] \end{matrix}$	$\begin{matrix} [\begin{matrix} 0.0011 & 0.0008 \end{matrix}] \end{matrix}$
Industrialcamera	Rightcamera	$\begin{matrix} [\begin{matrix} 7289.634 & 0 & 0 \\ - 2.678 & 7197.657 & 0 \\ 1254.305 & 1256.903 & 1 \end{matrix}] \end{matrix}$	$\begin{matrix} [\begin{matrix} 0.0412 & - 0.0213 & - 0.0637 \end{matrix}] \end{matrix}$	$\begin{matrix} [\begin{matrix} 0.0017 & 0.0012 \end{matrix}] \end{matrix}$

Table 2. Signal-to-noise ratio of images before and after pretreatment

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Table 2. Signal-to-noise ratio of images before and after pretreatment

Image		Originalimage /mm	After featureenhancement /mm	Medianfilter /mm
Smartphonecamera	Location 1	22.0182	22.0517	22.1054
Smartphonecamera	Location 2	22.1573	22.2186	22.2961
Industrialcamera	Left	24.4737	24.5019	24.5873
Industrialcamera	Right	24.3971	24.5341	24.5931

Table 3. Distance of adjacent data points
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Table 3. Distance of adjacent data points
Device name Average of pointcloud distance /mm Average of pointactual distance /mm Scalefactor s
Smartphone camera 0.625 10.00 0.0625
Industrial camera 0.690 10.00 0.0690

Table 4. Coordinates, dimensions, and errors of smartphone camera reconstruction

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Table 4. Coordinates, dimensions, and errors of smartphone camera reconstruction

Object to bereconstructed	Coordinate ofthe point cloud	Point clouddistance /mm	Calculatedistance /mm	Measuringdistance /mm	Absoluteerror /mm	Relativeerror /%
A	(0.66,3.25,16)	3.96	63.42	62.68	0.74	1.18
B	(-0.63,0.70,17.14)	5.07	81.09	80.18	0.91	1.13
C	(5.54,-1.89,17.54)
D	(7.39,-1.51,13.78)	0.68	10.90	10.32	0.58	5.63
E	(7.84,-1.55,14.29)	4.44	71.00	70.00	1.00	1.43
F	(7.45,2.78,15.18)	0.69	10.99	10.52	0.47	4.51
G	(7.44,3.42,15.43)
H	(5.59,3.34,16.92)	4.93	78.91	80.20	-1.29	-1.61
A	(0.66,3.25,16.81)
Absoluteaverage					0.83	2.58

Table 5. Coordinates, dimensions, and errors of industrial camera reconstruction

View table

Table 5. Coordinates, dimensions, and errors of industrial camera reconstruction

Object to bereconstructed	Coordinate ofthe point cloud	Point clouddistance /mm	Calculatedistance /mm	Measuringdistance /mm	Absoluteerror /mm	Relativeerror /%
A	(0.44,1.54,8.33)	4.35	62.98	62.68	0.30	0.40
B	(3.49,-0.77,10.39)	5.55	80.39	80.18	0.21	0.27
C	(7.88,-3.96,11.54)
D	(7.91,-3.98,11.64)	0.75	10.93	10.32	0.61	5.89
E	(8.21,-4.03,10.95)	4.86	70.41	70.00	0.41	0.58
F	(4.19,-1.41,10.19)	0.67	9.74	10.52	-0.78	7.44
G	(3.91,-1.38,10.80)
H	(3.41,4.69,11.68)	5.47	79.34	80.20	-0.86	-1.08
A	(0.44,1.54,8.33)
Absoluteaverage					0.53	2.62

Table 6. Reconstruction accuracy at different shooting distances
View table
Table 6. Reconstruction accuracy at different shooting distances
Shooting distance /cm Reconstruction accuracy /mm
15 0.82
20 0.83
25 0.83
30 0.85

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Zhaopeng Zeng, Jiangle Zhang, Zhishang Wei, Jun Wu, Fangping Chen. Three-Dimensional Reconstruction Method Based on Smartphone Imaging[J]. Laser & Optoelectronics Progress, 2018, 55(11): 111502

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