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Related Concept Videos

Adjusting a Traverse01:12

Adjusting a Traverse

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In the site survey of a four-sided traverse, internal angles are essential to ensure geometric accuracy. The survey revealed that the sum of the measured internal angles was 359 degrees and 48 minutes, which is 12 minutes less than the expected 360 degrees. This discrepancy signals an error likely arising from measurement inaccuracies during the fieldwork.To rectify this error, the adjustment process involved distributing the 12-minute shortfall equally across the four internal angles. By...
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A survey team is tasked with determining the elevation difference between points Point A and Point B, separated by uneven terrain. They use a leveling instrument and a leveling rod.Common MistakesMisreading the Rod: During a backsight reading at Point A, the instrumentman observes the rod partially obscured by tall grass. Instead of reading 1.135 m, they mistakenly record 1.735 m due to the misalignment of the crosshair with the wrong graduation. This error adds 0.600 m to all subsequent...
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Related Experiment Video

Updated: Dec 16, 2025

Measurement of X-ray Beam Coherence along Multiple Directions Using 2-D Checkerboard Phase Grating
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Improving the angle measurement accuracy of circular grating.

Gang Chen1

  • 1College of Mechanical Engineering, Chongqing University, Chongqing 400044, People's Republic of China.

The Review of Scientific Instruments
|July 3, 2020
PubMed
Summary

This study introduces a new method using compressed sensing and sparsity decomposition to enhance angle measurement accuracy in circular gratings, overcoming installation errors in precision turntables.

Area of Science:

  • Precision Engineering
  • Metrology
  • Signal Processing

Background:

  • Circular gratings are crucial for angle displacement feedback in precision turntables.
  • Installation errors in measurement systems lead to angle measurement inaccuracies.
  • These errors limit the achievable angle positioning precision of turntables.

Purpose of the Study:

  • To propose a novel method for improving the angle measurement accuracy of circular gratings.
  • To address and mitigate the impact of installation errors on measurement precision.
  • To enhance the overall performance of precision turntable systems.

Main Methods:

  • Development of a novel method based on compressed sensing principles.
  • Application of sparsity decomposition techniques for error correction.

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  • Implementation and testing within an experimental system setup.
  • Main Results:

    • The proposed method effectively improves the angle measurement accuracy of circular gratings.
    • Experimental validation confirmed the efficacy of the compressed sensing and sparsity decomposition approach.
    • Significant reduction in angle measurement errors caused by installation inaccuracies was observed.

    Conclusions:

    • The novel method successfully enhances circular grating measurement accuracy.
    • Compressed sensing and sparsity decomposition offer a viable solution for installation error compensation.
    • This approach contributes to improving the precision of turntable angle positioning systems.