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    This study introduces a new hybrid multi-frequency method for temporal phase unwrapping (TPU) in phase-shifting profilometry (PSP). The technique significantly reduces the number of fringe patterns needed for accurate 3D object measurement.

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    Area of Science:

    • Optical Metrology
    • 3D Measurement Technologies
    • Computational Imaging

    Background:

    • Multi-frequency temporal phase unwrapping (TPU) is crucial for high-accuracy 3D measurements in phase-shifting profilometry (PSP).
    • Conventional TPU methods often require a large number of fringe patterns, increasing acquisition time and complexity.
    • Challenges include measuring objects with surface discontinuities and isolated objects accurately.

    Purpose of the Study:

    • To develop a novel hybrid multi-frequency composite-pattern TPU method that reduces the number of required fringe patterns.
    • To achieve high-accuracy 3D phase mapping with fewer images compared to traditional methods.
    • To determine the optimal high frequency for reliable phase unwrapping and high measurement accuracy.

    Main Methods:

    • A hybrid approach combining a unit-frequency ramp pattern with low-frequency phase-shifted fringe patterns to create composite patterns.
    • Utilizing these composite patterns alongside high-frequency phase-shifted fringe patterns for phase map generation.
    • Analyzing the impact of temporal intensity noise on phase error to select the optimal high frequency.

    Main Results:

    • Demonstrated a new grayscale hybrid multi-frequency composite-pattern TPU method requiring only six images.
    • Showcased a color hybrid multi-frequency composite-pattern TPU method achieving high accuracy with just three images.
    • Validated the effectiveness of the composite-pattern approach in reducing pattern requirements while maintaining measurement accuracy.

    Conclusions:

    • The proposed hybrid multi-frequency composite-pattern TPU method offers a significant reduction in image acquisition for accurate 3D profilometry.
    • Both grayscale and color hybrid approaches provide efficient and reliable phase unwrapping solutions.
    • This advancement is beneficial for applications requiring rapid and precise 3D measurements of complex objects.