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Calibration Curves: Linear Least Squares01:20

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A calibration curve is a plot of the instrument's response against a series of known concentrations of a substance. This curve is used to set the instrument response levels, using the substance and its concentrations as standards. Alternatively, or additionally, an equation is fitted to the calibration curve plot and subsequently used to calculate the unknown concentrations of other samples reliably.
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Method of rotation angle measurement in machine vision based on calibration pattern with spot array.

Weimin Li1, Jing Jin, Xiaofeng Li

  • 1Department of Precision Machinery and Precision Instrumentation, University of Science and Technology of China, 96#, Jing Zhai Road, Hefei, Anhui Province, China. liwm@ustc.edu

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This study introduces a precise, noncontact machine vision method for rotation angle measurement using a CCD camera and spot array pattern. The system achieves high accuracy, with measurement deviations under 3 arc seconds for various angles.

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Area of Science:

  • Machine Vision
  • Metrology
  • Optical Measurement

Background:

  • Accurate rotation angle measurement is crucial in industrial automation and precision engineering.
  • Existing methods may face limitations in precision, contact requirements, or adaptability to micro/large angles.

Purpose of the Study:

  • To develop and validate a high-precision, noncontact method for rotation angle measurement.
  • To establish a machine vision system capable of detecting subtle angular displacements.
  • To assess the system's performance under simulated noise conditions.

Main Methods:

  • Utilizing an area scan CCD camera, imaging lens, and a calibration pattern with a spot array.
  • Implementing camera calibration to model distortion errors based on the spot array.
  • Applying coordinate rotation measurement equations to determine the angle from acquired spot coordinates.

Main Results:

  • The developed system precisely measures rotation angles using a noncontact approach.
  • Theoretical simulations incorporating noise demonstrated robust performance.
  • Experimental results showed a standard deviation of measurement below 3 arc seconds.

Conclusions:

  • The proposed machine vision method offers a highly accurate and noncontact solution for rotation angle measurement.
  • The system is effective for both micro- and large-angle measurements.
  • This technique has potential applications in precision manufacturing and quality control.