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The phase rule describes the relationship between the variance (degrees of freedom), the number of components, and the number of phases in a system at equilibrium.Variance is a concept that denotes the number of independent intensive properties (properties are those that do not depend on the amount of material in the system), such as temperature, pressure, and composition, that can be altered without impacting the number of phases in equilibrium.In a single-component system, such as pure water,...
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Quantized phase coding and connected region labeling for absolute phase retrieval.

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    This study introduces a new absolute phase retrieval method using quantized phase-coding and region labeling. This technique accurately measures multiple isolated objects by restoring wrapped phase information.

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    Area of Science:

    • Optics and Photonics
    • Metrology
    • Image Processing

    Background:

    • Absolute phase retrieval is crucial for accurate 3D measurements.
    • Existing methods can struggle with complex objects or multiple targets.
    • Phase-coding techniques offer potential for robust phase unwrapping.

    Purpose of the Study:

    • To develop an absolute phase retrieval method for complex object measurement.
    • To enhance the accuracy and reliability of phase unwrapping.
    • To enable the measurement of multiple, spatially separated objects.

    Main Methods:

    • Embedding a specific code sequence into the quantized phase of three coded fringes.
    • Utilizing connected region labeling to identify and assign unique 3-digit codes.
    • Restoring wrapped phase information (over 36 periods) using the generated code sequence.

    Main Results:

    • Successful implementation of a novel absolute phase retrieval technique.
    • Demonstrated capability to measure multiple isolated objects.
    • Accurate restoration of wrapped phase exceeding 36 periods.

    Conclusions:

    • The proposed quantized phase-coding and connected region labeling method is effective for absolute phase retrieval.
    • The technique reliably measures multiple isolated objects with high accuracy.
    • This method advances complex object metrology and phase unwrapping.