This MATLAB package provides FAPUX implementation for fast, accurate, and robust phase unwrapping solution, designed to handle challenging phase maps with discontinuities, and intricate spatial structures (e.g., spiral shear phase maps). While it excels in complex scenarios where conventional algorithms often fail, it is equally applicable to smooth and noise-free phase data, making it a versatile tool for a wide range of applications.It is particularly useful in optical metrology, interferometry, SAR/InSAR imaging, and medical diagnostics, where reliable phase recovery is essential.The scripts support the paper “ D. Khodadad, "Fast and accurate phase unwrapping for complex phase maps", Applied Optics, Vol. 64, No. 24, 2025 DOI: https://doi.org/10.1364/AO.567228” .If you use this code, cite:D. Khodadad, "Fast and accurate phase unwrapping for complex phase maps," Applied Optics, Vol. 64, No. 24, 10 August 2025. https://doi.org/10.1364/AO.567228D. Khodadad, "MATLAB code and example data for fast and accurate phase unwrapping of complex phase maps," figshare (2025). https://doi.org/10.6084/m9.figshare.29571782

This MATLAB code provides a fast, accurate, and robust phase unwrapping solution, designed to handle challenging phase maps with discontinuities, noise, and intricate spatial structures (e.g., spiral shear phase maps). While it excels in complex scenarios where conventional algorithms often fail, it is equally applicable to smooth and noise-free phase data, making it a versatile tool for a wide range of applications.It is particularly useful in optical metrology, interferometry, SAR/InSAR imaging, and medical diagnostics, where reliable phase recovery is essential.The scripts support the paper “Fast and Accurate Phase Unwrapping for Complex Phase Maps” (submitted to Applied Optics, OPTICA Publishing Group) and include example simulated and experimental phase data for testing. Once the paper is accepted, the full implementation will be made publicly available for research and educational use.