scholarly journals The Self-Calibration Method for the Vertex Distance of the Elliptical Paraboloid Array

2019 ◽  
Vol 9 (17) ◽  
pp. 3485 ◽  
Author(s):  
Zekui Lv ◽  
Zhikun Su ◽  
Dong Zhang ◽  
Lingyu Gao ◽  
Zhiming Yang ◽  
...  
Keyword(s):  
Precision Measurement ◽  
Communication Systems ◽  
Calibration Method ◽  
Displacement Measurement ◽  
The Self ◽  
Self Calibration ◽  
Series Of Experiments ◽  
Geometrical Relationship ◽  
High Repeatability ◽  
Elliptical Paraboloid

The elliptical paraboloid array plays an important role in precision measurement, astronomical telescopes, and communication systems. The calibration of the vertex distance of elliptical paraboloids is of great significance to precise 2D displacement measurement. However, there are some difficulties in determining the vertex position with contact measurement. In this study, an elliptical paraboloid array and an optical slope sensor for displacement measurement were designed and analyzed. Meanwhile, considering the geometrical relationship and relative angle between elliptical paraboloids, a non-contact self-calibration method for the vertex distance of the elliptical paraboloid array was proposed. The proposed self-calibration method was verified by a series of experiments with a high repeatability, within 3   μ m in the X direction and within 1   μ m in the Y direction. Through calibration, the displacement measurement system error was reduced from 100   μ m to 3   μ m . The self-calibration method of the elliptical paraboloid array has great potential in the displacement measurement field, with a simple principle and high precision.

Self-Calibration of Coupling Error for 3-DOF Displacement Measurement of Planar Working Stage Based on Two Planar Gratings

2017 ◽  
Vol 870 ◽  
pp. 135-140
Author(s):  
Yong Meng Liu ◽  
Ze Lin Li ◽  
De Hao Du ◽  
Mao Qiang Yuan ◽  
Jing Zhi Huang ◽  
...  
Keyword(s):  
Fourier Series ◽  
Calibration Method ◽  
Systematic Errors ◽  
Displacement Measurement ◽  
The Self ◽  
Experimental Results ◽  
Positioning Accuracy ◽  
Self Calibration ◽  
Coupling Error

A self-calibration method of coupling error is presented for 3-DOF displacement measurement of a planar moving stage based on two planar gratings. The self-calibration method using Fourier series is developed to extract the periodic systematic errors from the coupling errors. The extracted periodic systematic errors are compensated. Experiments are conducted to validate the validity of the self-calibration method and experimental results indicate that the coupling errors in x and y directions are reduced by 2 and 1.5 times respectively. It can be therefore concluded that the self-calibration method is suitable for the 3-DOF displacement measurement of a planar moving stage to improve the positioning accuracy.

The self-calibration method of IR mixer with low IF

2008 ◽  
Vol 55 (2) ◽  
pp. 115-124
Author(s):  
Andrzej Szymański ◽  
Ewa Kurjata-Pfitzner ◽  
Jan Lesiński ◽  
Jerzy Wąsowski
Keyword(s):  
Calibration Method ◽  
The Self ◽  
Self Calibration

PRECISION MEASUREMENT OF THE MOMENTA OF CONVERSION ELECTRON LINES FROM SOURCES OF 212Pb (ThB)

1965 ◽  
Vol 43 (2) ◽  
pp. 171-192 ◽  
Author(s):  
R. L. Graham ◽  
G. Murray ◽  
J. S. Geiger
Keyword(s):  
Least Squares ◽  
Precision Measurement ◽  
Conversion Electron ◽  
Internal Conversion ◽  
Calibration Method ◽  
Conversion Line ◽  
Fundamental Constants ◽  
X Ray ◽  
Self Calibration

Momentum ratios of some of the more intense internal conversion lines from sources of thorium radioactive deposit have been determined with accuracies of 1 to 4 parts in 105 using an iron-free β spectrometer. Accurate absolute values of the momenta were obtained from intercomparisons of these line momenta with that of the K-412 internal conversion line in 198Hg. The X-ray self-calibration method of Siegbahn is discussed in some detail and is shown to be less accurate at this time. The results are analyzed on both the 1955 and 1963 least-squares adjusted values of the fundamental constants.

Phase Retardation Measurement of Wave plates Based on the Self-Calibration Method

2012 ◽  
Vol 39 (4) ◽  
pp. 0408007
Author(s):  
侯俊峰 Hou Junfeng ◽  
于佳 Yu Jia ◽  
王东光 Wang Dongguang ◽  
邓元勇 Deng Yuanyong ◽  
张志勇 Zhang Zhiyong ◽  
...  
Keyword(s):  
Calibration Method ◽  
The Self ◽  
Phase Retardation ◽  
Self Calibration

scholarly journals Algorithm for a high precision contactless measurement system

ACTA IMEKO ◽  
2014 ◽  
Vol 2 (2) ◽  
pp. 3 ◽  
Author(s):  
Trung Tran Nguyen ◽  
Arvid Amthor ◽  
Christoph Ament
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Robot Manipulator ◽  
Calibration Method ◽  
The Self ◽  
Contactless Measurement ◽  
Optimal Arrangement ◽  
Self Calibration ◽  
Tool Centre Point ◽  
Laser Trackers

This paper presents a Monte Carlo simulation of the self-calibration method for the multi laser tracker system (MLTS) which can track a retroreflector mounted on a kinematical system (e.g. positioning stage, robot manipulator etc.). Four laser trackers build up the MLTS. In the first part of the study the required algorithms enabling the MLTS to measure the position of the retroreflector are presented. The algorithms include the localization of the retroreflector, the communication between the laser trackers and the tracking controller as well as the calculation of the Tool Centre Point (TCP) position. In the second part of this study a deeper analysis of the self-calibration algorithm is carried out. A Monte Carlo simulation shows that the quality of the parameter estimation highly depends on the optimal arrangement of the MTLS.

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