Calibration Method for Angular Positioning Deviation of a High-Precision Rotary Table Based on the Laser Tracer Multi-Station Measurement System

This paper proposes a calibration method for angular positioning deviation of a high-precision rotary table based on the laser tracer multi-station measurement system. The algorithm error of the calibration method for angular positioning deviation of a high-precision rotary table based on the laser tracer multi-station measurement system was mainly discussed. During the experiments, the laser tracer was fixed on the work surface of the rotary table, and the rotary was fixed on the work surface of the coordinate measurement machine (CMM). The rotary table was rotated with the same angular interval. In this case, an optimization method for calculating the coordinates of a laser tracer station by using Levenberg–Marquardt algorithm and singular value decomposition transform was proposed. Then, the angular positioning deviation of the rotary table was calibrated by an established geometric relationship model between the coordinates of laser tracer stations and the rotation angle of the rotary table. The angular positioning deviation of the high-precision rotary table was as low as ±0.9″, and the error of the calibration method was ±0.4″. The experimental results proved the feasibility of the proposed calibration method. The calibration method proposed in this paper is suitable for the case that the rotary table is not linked with the CMM, especially for large high-precision rotary tables.

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Research on Calibration Method of Linear Structured Light Vision Measurement System

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.644-650.1234 ◽

2014 ◽

Vol 644-650 ◽

pp. 1234-1239

Author(s):

Tao He ◽

Yu Lang Xie ◽

Cai Sheng Zhu ◽

Jiu Yin Chen

Keyword(s):

High Precision ◽

Measurement System ◽

Structured Light ◽

Target Position ◽

Calibration Method ◽

Measurement Model ◽

Sensor Calibration ◽

Vision Measurement ◽

Set Up ◽

Structured Light Vision

This template explains and demonstrates how to design a measurement system based on the size of the linear structured light vision, the system could works at realized the high precision and fast measurement of the size of mechanical parts, and accurate calibration of the system. First of all, this paper set up the experimental platform based on linear structured light vision measurement. Secondly, this paper established a system of measurement model, and puts forward a new method of calibration of structured light sensor and set up the mathematical model of sensor calibration. This calibration method only need to use some gage blocks of high precision as the target, the target position need not have a strict requirements, and the solving process will be more convenient, much easier to field use and maintenance. Finally, measuring accuracy on the system by gage blocks with high precision is verified, the experiment shows that measurement accuracy within 0.050 mmin the depth of 0-80 - mm range. This system can satisfy the demands of precision testing of most industrial parts .with its simple calibration process and high precision, it is suitable for the structured light vision calibration.

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A Convenient Calibration Method for LRF-Camera Combination Systems Based on a Checkerboard

Sensors ◽

10.3390/s19061315 ◽

2019 ◽

Vol 19 (6) ◽

pp. 1315 ◽

Cited By ~ 2

Author(s):

Zhuang Zhang ◽

Rujin Zhao ◽

Enhai Liu ◽

Kun Yan ◽

Yuebo Ma

Keyword(s):

Cost Function ◽

High Precision ◽

Measurement System ◽

Calibration Method ◽

Simulation Experiments ◽

Extrinsic Parameters ◽

Spatial Coordinates ◽

Calibration Accuracy ◽

Camera Parameters ◽

2D And 3D

In this paper, a simple and easy high-precision calibration method is proposed for the LRF-camera combined measurement system which is widely used at present. This method can be applied not only to mainstream 2D and 3D LRF-cameras, but also to calibrate newly developed 1D LRF-camera combined systems. It only needs a calibration board to record at least three sets of data. First, the camera parameters and distortion coefficients are decoupled by the distortion center. Then, the spatial coordinates of laser spots are solved using line and plane constraints, and the estimation of LRF-camera extrinsic parameters is realized. In addition, we establish a cost function for optimizing the system. Finally, the calibration accuracy and characteristics of the method are analyzed through simulation experiments, and the validity of the method is verified through the calibration of a real system.

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Multiple data parameter identification for nonlinear conceptual models

Water Science & Technology ◽

10.2166/wst.1997.0165 ◽

1997 ◽

Vol 36 (5) ◽

pp. 61-68 ◽

Cited By ~ 1

Author(s):

Hermann Eberl ◽

Amar Khelil ◽

Peter Wilderer

Keyword(s):

Optimization Problem ◽

Conceptual Models ◽

Reference Data ◽

Transport Model ◽

Calibration Method ◽

Data Sets ◽

Multiple Data ◽

Marquardt Algorithm ◽

Multicriteria Optimization Problem ◽

Higher Order Differential Equations

A numerical method for the identification of parameters of nonlinear higher order differential equations is presented, which is based on the Levenberg-Marquardt algorithm. The estimation of the parameters can be performed by using several reference data sets simultaneously. This leads to a multicriteria optimization problem, which will be treated by using the Pareto optimality concept. In this paper, the emphasis is put on the presentation of the calibration method. As an example identification of the parameters of a nonlinear hydrological transport model for urban runoff is included, but the method can be applied to other problems as well.

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An accuracy optimization method for random access inter-satellite measurement system

Proceedings of the 3rd International Conference on Telecommunications and Communication Engineering ◽

10.1145/3369555.3369571 ◽

2019 ◽

Author(s):

Xiaoyi Xu ◽

Chunhui Wang ◽

Zhonghe Jin ◽

Bei Ye

Keyword(s):

Measurement System ◽

Random Access ◽

Optimization Method ◽

Satellite Measurement

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Development of high-precision micro-coordinate measuring machine: Multi-probe measurement system for measuring yaw and straightness motion error of XY linear stage

Precision Engineering ◽

10.1016/j.precisioneng.2011.01.004 ◽

2011 ◽

Vol 35 (3) ◽

pp. 424-430 ◽

Cited By ~ 33

Author(s):

Ping Yang ◽

Tomohiko Takamura ◽

Satoru Takahashi ◽

Kiyoshi Takamasu ◽

Osamu Sato ◽

...

Keyword(s):

High Precision ◽

Measurement System ◽

Coordinate Measuring Machine ◽

Probe Measurement ◽

Linear Stage ◽

Motion Error ◽

Measuring Machine

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An Efficient Calibration Method for 6 DOF Parallel Mechanism (2nd Report, Analysis of the Calibration Matrix Using Singular Value Decomposition)

TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series C ◽

10.1299/kikaic.79.3662 ◽

2013 ◽

Vol 79 (806) ◽

pp. 3662-3671

Author(s):

Nobuharu MIMURA

Keyword(s):

Singular Value Decomposition ◽

Parallel Mechanism ◽

Calibration Method ◽

Singular Value ◽

Report Analysis ◽

Calibration Matrix ◽

Value Decomposition

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Characterization of measurement system for high-precision oscillator measurements

2017 40th International Convention on Information and Communication Technology, Electronics and Microelectronics (MIPRO) ◽

10.23919/mipro.2017.7973396 ◽

2017 ◽

Author(s):

Ivan Brezovec ◽

Marko Magerl ◽

Josip Mikulic ◽

Gregor Schatzberger ◽

Adrijan Baric

Keyword(s):

High Precision ◽

Measurement System

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Extrinsic Parameters Calibration Method of Cameras with Non-Overlapping Fields of View in Airborne Remote Sensing

Remote Sensing ◽

10.3390/rs10081298 ◽

2018 ◽

Vol 10 (8) ◽

pp. 1298 ◽

Cited By ~ 3

Author(s):

Lei Yin ◽

Xiangjun Wang ◽

Yubo Ni ◽

Kai Zhou ◽

Jilong Zhang

Keyword(s):

Remote Sensing ◽

Camera Calibration ◽

Calibration Method ◽

Optimization Method ◽

Airborne Remote Sensing ◽

Camera System ◽

Translation Error ◽

Camera Systems ◽

Calibration Methods ◽

Extrinsic Parameters

Multi-camera systems are widely used in the fields of airborne remote sensing and unmanned aerial vehicle imaging. The measurement precision of these systems depends on the accuracy of the extrinsic parameters. Therefore, it is important to accurately calibrate the extrinsic parameters between the onboard cameras. Unlike conventional multi-camera calibration methods with a common field of view (FOV), multi-camera calibration without overlapping FOVs has certain difficulties. In this paper, we propose a calibration method for a multi-camera system without common FOVs, which is used on aero photogrammetry. First, the extrinsic parameters of any two cameras in a multi-camera system is calibrated, and the extrinsic matrix is optimized by the re-projection error. Then, the extrinsic parameters of each camera are unified to the system reference coordinate system by using the global optimization method. A simulation experiment and a physical verification experiment are designed for the theoretical arithmetic. The experimental results show that this method is operable. The rotation error angle of the camera’s extrinsic parameters is less than 0.001rad and the translation error is less than 0.08 mm.

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