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Related Concept Videos

Phase Diagrams02:39

Phase Diagrams

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A phase diagram combines plots of pressure versus temperature for the liquid-gas, solid-liquid, and solid-gas phase-transition equilibria of a substance. These diagrams indicate the physical states that exist under specific conditions of pressure and temperature and also provide the pressure dependence of the phase-transition temperatures (melting points, sublimation points, boiling points). Regions or areas labeled solid, liquid, and gas represent single phases, while lines or curves represent...
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Phase Transitions02:31

Phase Transitions

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Whether solid, liquid, or gas, a substance's state depends on the order and arrangement of its particles (atoms, molecules, or ions). Particles in the solid pack closely together, generally in a pattern. The particles vibrate about their fixed positions but do not move or squeeze past their neighbors. In liquids, although the particles are closely spaced, they are randomly arranged. The position of the particles are not fixed—that is, they are free to move past their neighbors to...
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Phase Transitions: Sublimation and Deposition02:33

Phase Transitions: Sublimation and Deposition

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Some solids can transition directly into the gaseous state, bypassing the liquid state, via a process known as sublimation. At room temperature and standard pressure, a piece of dry ice (solid CO2) sublimes, appearing to gradually disappear without ever forming any liquid. Snow and ice sublimate at temperatures below the melting point of water, a slow process that may be accelerated by winds and the reduced atmospheric pressures at high altitudes. When solid iodine is warmed, the solid sublimes...
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Inductance: Single-Phase And Three-Phase Line01:28

Inductance: Single-Phase And Three-Phase Line

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Understanding the inductance of transmission lines is crucial for efficient design and operation in electrical power systems. This discussion delves into the inductance characteristics of single-phase two-wire and three-phase three-wire transmission lines with equal phase spacing.
Single-Phase Two-Wire Line:
A single-phase line consists of two solid cylindrical conductors, denoted as x and y. Each conductor carries phasor currents ix and iy, respectively. Given that the sum of these currents is...
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Capacitance: Single-Phase And Three-Phase Line01:25

Capacitance: Single-Phase And Three-Phase Line

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In electrical power systems, understanding the capacitance of transmission lines is fundamental for efficient operation.
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Consider a single-phase, two-wire transmission line with equal phase spacing energized by a voltage source. One conductor carries a uniform positive charge, while the other carries an equal negative charge. The capacitance C of the line can be derived from the voltage V between the conductors. For a one-meter section of the line, the capacitance is given...
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Phase Changes01:19

Phase Changes

5.4K
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.
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Measurement of X-ray Beam Coherence along Multiple Directions Using 2-D Checkerboard Phase Grating
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Multiple-gamma-value based phase error compensation method for phase measuring profilometry.

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    This study introduces a new sub-area compensation method to improve 3D fringe projection measurements. The technique addresses gamma and system nonlinearities, significantly enhancing phase measurement accuracy.

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    Area of Science:

    • Optics and Photonics
    • Metrology
    • Computer Vision

    Background:

    • Fringe projection is a common 3D measurement technique.
    • Gamma and system nonlinearities introduce significant phase errors.
    • Non-uniform brightness and system factors lead to varying gamma values, complicating error correction.

    Purpose of the Study:

    • To develop a novel method for compensating phase errors in fringe projection systems.
    • To address the challenges posed by gamma nonlinearity and varying gamma values.
    • To improve the accuracy of three-dimensional measurements.

    Main Methods:

    • A sub-area compensation method utilizing multiple gamma values is proposed.
    • Image partitioning is performed using histogram statistics on a projected uniform image.
    • Region-specific phase error models are established and applied for compensation.

    Main Results:

    • The proposed method significantly improves the accuracy of phase algorithms.
    • Compensation is tailored to different regions based on their specific gamma characteristics.
    • The technique effectively reduces phase errors caused by nonlinearities.

    Conclusions:

    • The sub-area compensation method offers a simple and convenient solution for enhancing 3D measurement accuracy.
    • This approach effectively mitigates phase errors arising from system and gamma nonlinearities.
    • The method demonstrates superior performance compared to existing techniques.