A Rapid Coordinate Transformation Method Applied in Industrial Robot Calibration Based on Characteristic Line Coincidence

Coordinate transformation plays an indispensable role in industrial measurements, including photogrammetry, geodesy, laser 3-D measurement and robotics. The widely applied methods of coordinate transformation are generally based on solving the equations of point clouds. Despite the high accuracy, th...

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Main Authors: Bailing Liu, Fumin Zhang, Xinghua Qu, Xiaojia Shi
Format: Article
Language:English
Published: MDPI AG 2016-02-01
Series:Sensors
Subjects:
Online Access:http://www.mdpi.com/1424-8220/16/2/239
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author Bailing Liu
Fumin Zhang
Xinghua Qu
Xiaojia Shi
author_facet Bailing Liu
Fumin Zhang
Xinghua Qu
Xiaojia Shi
author_sort Bailing Liu
collection DOAJ
description Coordinate transformation plays an indispensable role in industrial measurements, including photogrammetry, geodesy, laser 3-D measurement and robotics. The widely applied methods of coordinate transformation are generally based on solving the equations of point clouds. Despite the high accuracy, this might result in no solution due to the use of ill conditioned matrices. In this paper, a novel coordinate transformation method is proposed, not based on the equation solution but based on the geometric transformation. We construct characteristic lines to represent the coordinate systems. According to the space geometry relation, the characteristic line scan is made to coincide by a series of rotations and translations. The transformation matrix can be obtained using matrix transformation theory. Experiments are designed to compare the proposed method with other methods. The results show that the proposed method has the same high accuracy, but the operation is more convenient and flexible. A multi-sensor combined measurement system is also presented to improve the position accuracy of a robot with the calibration of the robot kinematic parameters. Experimental verification shows that the position accuracy of robot manipulator is improved by 45.8% with the proposed method and robot calibration.
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spelling doaj.art-19f3fb7ff9224f1982f560bc89bd28f02022-12-22T02:06:45ZengMDPI AGSensors1424-82202016-02-0116223910.3390/s16020239s16020239A Rapid Coordinate Transformation Method Applied in Industrial Robot Calibration Based on Characteristic Line CoincidenceBailing Liu0Fumin Zhang1Xinghua Qu2Xiaojia Shi3State Key Laboratory of Precision Measuring Technology and Instruments, Tianjin University, Tianjin 300072, ChinaState Key Laboratory of Precision Measuring Technology and Instruments, Tianjin University, Tianjin 300072, ChinaState Key Laboratory of Precision Measuring Technology and Instruments, Tianjin University, Tianjin 300072, ChinaState Key Laboratory of Precision Measuring Technology and Instruments, Tianjin University, Tianjin 300072, ChinaCoordinate transformation plays an indispensable role in industrial measurements, including photogrammetry, geodesy, laser 3-D measurement and robotics. The widely applied methods of coordinate transformation are generally based on solving the equations of point clouds. Despite the high accuracy, this might result in no solution due to the use of ill conditioned matrices. In this paper, a novel coordinate transformation method is proposed, not based on the equation solution but based on the geometric transformation. We construct characteristic lines to represent the coordinate systems. According to the space geometry relation, the characteristic line scan is made to coincide by a series of rotations and translations. The transformation matrix can be obtained using matrix transformation theory. Experiments are designed to compare the proposed method with other methods. The results show that the proposed method has the same high accuracy, but the operation is more convenient and flexible. A multi-sensor combined measurement system is also presented to improve the position accuracy of a robot with the calibration of the robot kinematic parameters. Experimental verification shows that the position accuracy of robot manipulator is improved by 45.8% with the proposed method and robot calibration.http://www.mdpi.com/1424-8220/16/2/239coordinate transformationrobot calibrationphotogrammetric systemmulti-sensor measurement system
spellingShingle Bailing Liu
Fumin Zhang
Xinghua Qu
Xiaojia Shi
A Rapid Coordinate Transformation Method Applied in Industrial Robot Calibration Based on Characteristic Line Coincidence
Sensors
coordinate transformation
robot calibration
photogrammetric system
multi-sensor measurement system
title A Rapid Coordinate Transformation Method Applied in Industrial Robot Calibration Based on Characteristic Line Coincidence
title_full A Rapid Coordinate Transformation Method Applied in Industrial Robot Calibration Based on Characteristic Line Coincidence
title_fullStr A Rapid Coordinate Transformation Method Applied in Industrial Robot Calibration Based on Characteristic Line Coincidence
title_full_unstemmed A Rapid Coordinate Transformation Method Applied in Industrial Robot Calibration Based on Characteristic Line Coincidence
title_short A Rapid Coordinate Transformation Method Applied in Industrial Robot Calibration Based on Characteristic Line Coincidence
title_sort rapid coordinate transformation method applied in industrial robot calibration based on characteristic line coincidence
topic coordinate transformation
robot calibration
photogrammetric system
multi-sensor measurement system
url http://www.mdpi.com/1424-8220/16/2/239
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