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Updated: Aug 9, 2025

High-resolution, High-speed, Three-dimensional Video Imaging with Digital Fringe Projection Techniques
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General framework of a two-dimensional complex wavelet for fringe projection profilometry.

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    This study introduces a novel wavelet for high-accuracy 3D object reconstruction using fringe projection profilometry (WFPP). The new method improves 3D shape reconstruction in single-shot imaging applications.

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    Area of Science:

    • Optics and Photonics
    • Image Processing
    • Computational Imaging

    Background:

    • Single-shot high-accuracy 3D object reconstruction is crucial across various scientific and industrial fields.
    • Wavelet-based fringe projection profilometry (WFPP) offers non-contact, multi-resolution 3D imaging but faces challenges in mother wavelet construction.
    • Existing WFPP methods require complex wavelet designs for optimal performance.

    Purpose of the Study:

    • To propose a general framework for constructing a 2D compact support complex wavelet for enhanced WFPP.
    • To develop a novel wavelet with an asymmetric frequency envelope and concentrated energy for improved 3D reconstruction accuracy.
    • To apply this wavelet in a dual-angle rotation-based 2D WFPP system for higher precision.

    Main Methods:

    • Developed a general framework for a 2D compact support complex wavelet using the dual-tree concept and 1D asymmetric wavelet functions.
    • Designed a wavelet with an asymmetric radial frequency envelope and quadrant-concentrated energy.
    • Implemented the constructed wavelet within a dual-angle rotation-based 2D WFPP system.

    Main Results:

    • The proposed wavelet exhibits unique frequency characteristics compared to conventional wavelets.
    • Theoretical analysis confirmed the wavelet's suitability for WFPP.
    • Computer simulations and experimental results demonstrated superior 3D shape reconstruction accuracy.

    Conclusions:

    • The proposed wavelet framework enables the construction of effective wavelets for high-accuracy WFPP.
    • The dual-angle rotation-based 2D WFPP system utilizing the novel wavelet significantly enhances 3D reconstruction.
    • This advancement contributes to more precise non-contact 3D imaging techniques.