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Related Concept Videos

Calibration Curves: Linear Least Squares01:20

Calibration Curves: Linear Least Squares

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.
For data that follow a straight line, the standard method for fitting is the linear...
Leveling Equipment01:18

Leveling Equipment

As leveling involves measuring vertical distances relative to a horizontal line of sight, it requires a graduated rod, called a level rod, for vertical measurements and an instrument called a level for a horizontal sight line. A level includes a high-powered telescope with a mechanism for leveling to ensure the line of sight is horizontal when the bubble in the spirit level is centered. Leveling rods, made of wood, metal, or fiberglass, are graduated in feet or meters and commonly used in two-...

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Related Experiment Video

Updated: Jul 16, 2026

Automatic Laser-based Geometry Capture for Finite Element Analysis of Weld Beads
07:58

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Published on: July 25, 2025

High-Precision Rotation Axis Calibration of Line-Structured Light Measurement System Using a Stepped Cylinder.

Yuehua Li1, Ziqi Jia1, Haiyong Chang1

  • 1School of Mechanical Engineering, Hebei University of Science and Technology, Shijiazhuang 050018, China.

Sensors (Basel, Switzerland)
|July 15, 2026
PubMed
Summary

This study presents a new rotation axis calibration method for line-structured light sensors, significantly improving measurement accuracy for complex surfaces. The technique reduces diameter errors by over 90% for stepped cylinders.

Keywords:
line-structured light measurement systemrotation axis optimizationstepped cylindersystem calibration

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Methods for Measuring the Orientation and Rotation Rate of 3D-printed Particles in Turbulence

Published on: June 24, 2016

Area of Science:

  • Metrology
  • Optical Measurement
  • Mechanical Engineering

Background:

  • Line-structured light sensors offer high precision, low cost, and simple structures.
  • Integrating sensors with turntables is crucial for comprehensive 3D surface reconstruction.
  • Accurate calibration of the rotation axis is essential for precise measurements of complex geometries.

Purpose of the Study:

  • To develop and validate a novel rotation axis calibration method for enhancing measurement accuracy of line-structured light sensors.
  • To improve the precision of 3D surface measurements, particularly for complex objects.
  • To reduce systematic errors introduced by sensor-turntable integration.

Main Methods:

  • Optimized laser plane coefficients using the principle of cross-ratio invariance.
  • Extracted feature points (corner points) from the intersection of the laser plane and a stepped cylinder at various rotational angles.
  • Employed sequential quadratic programming to minimize the distance between rotated feature points and ideal circles, thereby calibrating the rotation axis.

Main Results:

  • Reduced the average diameter error of the stepped cylinder by over 90% after calibration.
  • Achieved relative errors of less than 0.15% for typical features like ball diameter, cylinder diameter, and groove depth.
  • Successfully measured complex objects with diverse materials, clearly resolving small features.

Conclusions:

  • The proposed rotation axis calibration method significantly enhances the measurement accuracy of line-structured light sensors.
  • The technique is effective for precise 3D reconstruction of complex surfaces and small features.
  • This method provides a robust solution for metrology applications requiring high precision.