2014
DOI: 10.1364/josaa.31.001427
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Optimization for calibration of large-scale optical measurement positioning system by using spherical constraint

Abstract: The measurement accuracy of a large-scale optical measurement positioning system largely depends on the calibration procedure. A more reliable calibration approach for the system by using spherical constraints is presented in this paper, and both the adjustment model based on spherical constraint and the calculation method for the optimization are given. This approach can provide constraint in every direction of the system in the workspace and thereby estimate the orientation parameters more accurately than by… Show more

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Cited by 25 publications
(14 citation statements)
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“…From (3), each transmitter-receiver pair gives two plane-constraint equations and among the receivers, any two receivers give one distance-constraint equation. Thus, at least plane-constraint equations and (1/2)i (i − 1) distanceconstraint equations can be established totally as (23). For obtaining the solutions, it must be ensured that the condition that (1/2)i (i − 1) + 2i ≥ 3i is satisfied which is equivalent to i ≥ 3.…”
Section: B Multilandmarks Position and Orientation Calculation Methodsmentioning
confidence: 99%
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“…From (3), each transmitter-receiver pair gives two plane-constraint equations and among the receivers, any two receivers give one distance-constraint equation. Thus, at least plane-constraint equations and (1/2)i (i − 1) distanceconstraint equations can be established totally as (23). For obtaining the solutions, it must be ensured that the condition that (1/2)i (i − 1) + 2i ≥ 3i is satisfied which is equivalent to i ≥ 3.…”
Section: B Multilandmarks Position and Orientation Calculation Methodsmentioning
confidence: 99%
“…Similar with (23), N represents the number of the landmark receivers to be detected. M is the penalty factor and both of them are nonlinear minimization problem, which can be solved by the Levenberg-Marquardt algorithm [28].…”
Section: B Multilandmarks Position and Orientation Calculation Methodsmentioning
confidence: 99%
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“…wMPS is prepared to form a measurement network and this measurement network is calibrated by the scale bar of known length. 16 The wMPS is deployed with different layouts and different densities of transmitters, respectively: two, three, and four transmitters (all in "line" type), and four transmitters (in "C" type) are tested. These eight points are measured by the laser tracker to form the reference measurement.…”
Section: Experimental Platform Set-upmentioning
confidence: 99%
“…[4][5][6][7] The components of the wMPS are a network of transmitters, preprocessors, a terminal computer, and a number of receivers. 9 The traditional transmitter parameter calibration method relies on auxiliary measurement equipment. Thus, the transmitter parameter calibration is a key technique of the system, which is the foundation of the whole measurement network.…”
Section: Introductionmentioning
confidence: 99%