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Errors in Global Positioning System01:26

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Global Positioning System (GPS) technology has revolutionized navigation and positioning, but its accuracy is often compromised by various errors. These errors, stemming from environmental, satellite, and receiver-related factors, require careful mitigation to ensure reliable performance across applications.Atmospheric ErrorsGPS signals travel through the Earth’s ionosphere and troposphere, introducing delays which affect accuracy. The ionosphere is strongly influenced by charged particles,...
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Distance Corrections01:15

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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...
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Adjusting a Traverse01:12

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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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Errors in Taping01:18

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Errors in taping arise from multiple factors that can significantly impact measurement accuracy in surveying. Misalignment of the tape, often due to human error, is one primary source. A skilled rear tapeman, using a telescope, can help correct alignment by guiding the head tapeman; however, human limitations still lead to small inaccuracies. These errors may include misplacement of pins or inaccurate tape readings due to common visual confusions, such as mistaking a six for a nine. Such...
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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...
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Related Experiment Video

Updated: Mar 15, 2026

Time Multiplexing Super Resolving Technique for Imaging from a Moving Platform
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Time multiplexing based geometrical aberrations correction.

Asaf Ilovitsh, Gilad Rand, Shilo Levavi

    Optics Letters
    |September 16, 2016
    PubMed
    Summary
    This summary is machine-generated.

    This study extends a super-resolution imaging technique to correct lens aberrations. The method, using time-multiplexing and adjustable gratings, successfully compensates for chromatic, spherical, and astigmatic aberrations.

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    Area of Science:

    • Optics and Photonics
    • Image Processing
    • Optical Engineering

    Background:

    • Super-resolution imaging techniques enhance image detail beyond the diffraction limit.
    • Extending the depth of focus is crucial for imaging systems to maintain clarity over a larger range.
    • Previous work introduced time-multiplexing for depth of focus extension by manipulating optical transfer function (OTF) duplications.

    Purpose of the Study:

    • To expand the time-multiplexing super-resolution method for correcting geometrical aberrations in imaging lenses.
    • To analytically present and experimentally validate the method's efficacy for aberration correction.

    Main Methods:

    • The core method involves adjusting encoding and decoding grating frequencies to control OTF duplication positions.
    • The technique was analytically formulated to demonstrate its theoretical basis for aberration correction.
    • Experimental validation was performed using a system designed to introduce and correct chromatic, spherical, and astigmatic aberrations.

    Main Results:

    • The time-multiplexing super-resolution method was successfully applied to correct geometrical aberrations.
    • Experimental results confirmed the method's effectiveness in compensating for chromatic aberration.
    • The study also demonstrated successful correction of spherical aberration and astigmatism.

    Conclusions:

    • The time-multiplexing super-resolution approach is a versatile technique applicable to both depth of focus extension and geometrical aberration correction.
    • This method offers a novel way to improve the performance and robustness of imaging systems.
    • The findings pave the way for enhanced optical system design with improved image quality and operational range.