Three-dimensional measurement with use of a single camera

Zhijiang Zhang; Zhihao Pan

doi:10.1364/AO.43.002449

Applied Optics
Vol. 43,
Issue 12,
pp. 2449-2455
(2004)
•https://doi.org/10.1364/AO.43.002449

Three-dimensional measurement with use of a single camera

Zhijiang Zhang and Zhihao Pan

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Zhijiang Zhang and Zhihao Pan, "Three-dimensional measurement with use of a single camera," Appl. Opt. 43, 2449-2455 (2004)

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Abstract

A new, to our knowledge, measurement technique that uses a single image of a handheld probe on known points, to measure geometric features of an object, is discussed in detail. A new method is also proposed to calculate three-dimensional coordinates of points on the object relative to a reference. Furthermore, the validity of the proposed measuring system is confirmed by experiments.

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Coordinate of Characteristic Points	Characteristic Point
Coordinate of Characteristic Points	1	2	3	4	5
(y _i, z _i)	(0, 80)	(0, 120)	(160, 160)	(120, 0)	(160, 0)

Depth Position x	Displacement Range in y Direction	Displacement Step in y Direction	Range of the Displacement Measurement Errors
540.3224	0–190	10	-0.0731–0.092
	0–2	0.1	-0.0808–0.0011
	80–82	0.1	0.0183–0.0927
	180–182	0.1	-0.0477–0.0271
640.7328	0–190	10	-0.0952–0.074
	0–2	0.1	-0.0001–0.0656
	80–82	0.1	-0.0398–0.1136
	180–182	0.1	-0.0159–0.0987
740.5873	0–190	10	-0.1086–0.0952
	0–2	0.1	-0.0521–0.0409
	80–82	0.1	-0.0392–0.0701
	180–182	0.1	-0.1312–0.0119
740.5873	0–-190	10	-0.1221–0.1083

Depth Position x	Displacement Range in z Direction	Displacement Step in z Direction	Range of the Displacement Measurement Errors
540.3224	0–140	10	-0.0894–0.0957
	0–2	0.1	0.0178–0.0649
	80–82	0.1	0.0510–0.1107
	130–132	0.1	-0.0255–0.0421
640.7328	0–170	10	-0.0946–0.0536
	0–2	0.1	-0.0613–0.0631
	80–82	0.1	-0.0266–0.0444
	130–132	0.1	-0.0628–0.0687
740.5873	0–170	10	-0.0971–0.0950
	0–2	0.1	-0.0448–0.0474
	80–82	0.1	-0.0965–0.0533
	130–132	0.1	0.0529–0.1261

Depth Position x	Displacement Range in x Direction	Displacement Step in x Direction	Range of the Displacement Measurement Errors
539.4604	0–5	0.5	0.5123–-0.2012
	190–195	0.5	0.3974–-0.6127
	0–200	10	0.5687–-0.6571
	0–200	10	0.5434–-0.3663

Measured Point	Actual Distance between the Measured Point and the Initial Point	Measurement Distance between the Measured Point and the Initial Point	Measurement Deviation	Standard Deviation
Point A	51.961524	52.273933	0.312409	0.046266
Point B	123.28828	123.157959	-0.130321	0.063021
Point C	169.18924	168.971695	-0.217545	0.134382
Point D	265.706605	266.023987	0.317382	0.243856

Abstract

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Equations (20)

Applied Optics