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Related Concept Videos

Phase Changes01:19

Phase Changes

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Phase transitions play an important theoretical and practical role in the study of heat flow. In melting or fusion, a solid turns into a liquid; the opposite process is freezing. In evaporation, a liquid turns into a gas; the opposite process is condensation.
A substance melts or freezes at a temperature called its melting point and boils or condenses at its boiling point. These temperatures depend on pressure. High pressure favors the denser form of the substance, so typically, high pressure...
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Graphical and Analytic Representation of Sinusoids01:20

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Analyzing two sinusoidal voltages with equal amplitude and period but different phases on an oscilloscope, an instrument used to display and analyze waveforms, involves a three-step process.
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Time and frequency -Domain Interpretation of Phase-lead Control01:24

Time and frequency -Domain Interpretation of Phase-lead Control

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Phase-lead controllers are commonly used in various control systems to enhance response speed and stability. Adjusting the brightness on a television screen offers a practical example of phase-lead control. When contrast is enhanced, a phase-lead controller is employed. Mathematically, phase-lead control is identified when the first parameter is smaller than the second.
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¹³C NMR: Distortionless Enhancement by Polarization Transfer (DEPT)01:20

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When proton-coupled carbon-13 spectra are simplified by a broadband proton decoupling technique, structural information about the coupled protons is lost. Distortionless enhancement by polarization transfer (DEPT) is a technique that provides information on the number of hydrogens attached to each carbon in a molecule. While the DEPT experiment utilizes complex pulse sequences, the pulse delay and flip angle are specifically manipulated. The resulting signals have different phases depending on...
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Phasor Arithmetics01:13

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Phasors and their corresponding sinusoids are interrelated, offering unique insights into the behavior of alternating current (AC) circuits. One way to understand this relationship is through the operations of differentiation and integration in both the time and phasor domains.
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Time and frequency -Domain Interpretation of Phase-lag Control01:21

Time and frequency -Domain Interpretation of Phase-lag Control

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Phase-lag controllers are widely used in control systems to improve stability and reduce steady-state errors. A dimmer switch controlling the brightness of a light bulb serves as a practical example of phase-lag control, gradually adjusting the bulb's brightness. Mathematically, phase-lag control or low-pass filtering is represented when the factor 'a' is less than 1.
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Hue-indexing-based absolute phase retrieval method using a discrete hue sequence.

Long Ma, Ling-Xuan Tang, Rui-Jie Qian

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    This study introduces a novel hue-indexing method for accurate 3D reconstruction using fringe projection profilometry. The technique effectively unwraps phase data, significantly improving measurement precision for 3D object scanning.

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    Area of Science:

    • Optical Metrology
    • 3D Imaging
    • Computer Vision

    Background:

    • Fringe projection profilometry is a key technique for 3D reconstruction.
    • Phase unwrapping is a critical step for accurate 3D measurements.
    • Existing methods face challenges with accuracy and robustness.

    Purpose of the Study:

    • To develop an effective phase unwrapping method for hue-based fringe projection profilometry.
    • To propose a hue-indexing-based absolute phase retrieval technique.
    • To enhance the accuracy and reliability of 3D reconstruction.

    Main Methods:

    • Extracted hue component as wrapped phase from a programmed hue fringe pattern.
    • Designed a hue-indexing sequence with six unique hues for unwrapping.
    • Corrected defocusing effects by assigning hue indices to fringe geometric centers.

    Main Results:

    • Achieved a root mean square (RMS) residual error of 2.2185×10-4 radians in simulations.
    • Verified effectiveness through experiments on a plaster statue and compressor blade.
    • Demonstrated an RMS error of 4.09×10-2 mm in measurement deviation compared to a coordinate measuring machine.

    Conclusions:

    • The proposed hue-indexing method provides effective phase unwrapping for hue-based fringe projection profilometry.
    • The technique accurately identifies fringe orders, correcting defocusing effects.
    • Experimental results validate the method's high precision for 3D reconstruction.