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Related Concept Videos

Adjusting a Traverse01:12

Adjusting a Traverse

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...
Distance Corrections01:15

Distance Corrections

To achieve precise distance measurements, especially in surveying and construction, certain corrections must be applied to account for potential sources of error like the standardization errors, temperature variations, and slope adjustments.Standardization error emerges when measurement equipment undergoes changes, such as wear, repairs, or weather impacts. To address this, surveyors compare the equipment’s readings to a standard. This process identifies any deviation that might lead to...
Influence of Earth's Curvature and Atmospheric Refraction on Leveling01:26

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During leveling, the Earth's curvature and atmospheric refraction introduce deviations in the line of sight from a true horizontal reference. When the line of sight is leveled, it remains perpendicular to the plumb line only at a single point. Beyond this, it deviates due to the Earth’s curvature, represented by the correction C. For a sight distance D, the deviation can be derived using the relationship:This relationship shows that the deviation increases quadratically with distance. Over a...
Common Leveling Mistakes and Errors01:17

Common Leveling Mistakes and Errors

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...
Azimuths and Bearings01:19

Azimuths and Bearings

Azimuths and bearings are essential concepts in surveying, providing methods to express the direction of a line relative to a meridian. Azimuths refer to the clockwise angle measured from the north end of a reference meridian to the given line, ranging from zero to 360 degrees. This method gives a comprehensive directional reference within a full 360-degree circle, making it a straightforward way to communicate direction in various fields, including navigation, cartography, and...
Relative Motion Analysis using Rotating Axes-Problem Solving01:29

Relative Motion Analysis using Rotating Axes-Problem Solving

Consider a crane whose telescopic boom rotates with an angular velocity of 0.04 rad/s and angular acceleration of 0.02 rad/s2. Along with the rotation, the boom also extends linearly with a uniform speed of 5 m/s. The extension of the boom is measured at point D, which is measured with respect to the fixed point C on the other end of the boom. For the given instant, the distance between points C and D is 60 meters.
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Related Experiment Video

Updated: Jun 22, 2026

Bringing the Visible Universe into Focus with Robo-AO
10:35

Bringing the Visible Universe into Focus with Robo-AO

Published on: February 12, 2013

Azimuthal position error correction algorithm for absolute test of large optical surfaces.

Hyug-Gyo Rhee, Yun-Woo Lee, Seung-Woo Kim

    Optics Express
    |June 17, 2009
    PubMed
    Summary
    This summary is machine-generated.

    This study introduces a new algorithm for absolute optical testing. It uses a least squares technique to correct for azimuthal position errors during part rotation, improving accuracy for large optics.

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    Last Updated: Jun 22, 2026

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    Area of Science:

    • Optical engineering
    • Metrology

    Background:

    • Absolute optical testing requires part rotation to distinguish interferometer errors from test surface errors.
    • Existing algorithms assume perfect rotational alignment, which is challenging for large optics (≥0.6 m diameter).

    Purpose of the Study:

    • To develop a novel algorithm for absolute optical testing that accounts for azimuthal position errors.
    • To improve the accuracy of testing large optical components.

    Main Methods:

    • Implementation of a least squares technique to determine true azimuthal positions during part rotation.
    • Development of a new algorithm to correct for rotational inaccuracies.

    Main Results:

    • The proposed algorithm successfully determines true azimuthal positions.
    • Testing errors caused by rotation inaccuracy are eliminated.

    Conclusions:

    • The new algorithm enhances the accuracy of absolute optical testing, particularly for large optics.
    • It overcomes the limitations of previous methods by addressing physical difficulties in achieving exact rotations.