MATLAB Code and Example Data for Fast and Accurate Phase Unwrapping of Complex Phase Maps

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

本MATLAB工具包提供了快速精准鲁棒相位解缠（FAPUX）的实现，可生成快速、精准且鲁棒的相位解缠方案，专为处理存在不连续性与复杂空间结构的高难度相位图（如螺旋剪切相位图）而设计。尽管其在传统算法常失效的复杂场景中表现优异，但同样适用于平滑无噪的相位数据，因此可作为一款通用工具适配诸多应用场景。该工具包在光学计量、干涉测量、合成孔径雷达/干涉合成孔径雷达（SAR/InSAR）成像以及医学诊断等亟需可靠相位恢复的领域中尤为实用。本工具包脚本配套支持以下学术论文：D. Khodadad, 《面向复杂相位图的快速精准相位解缠》，《应用光学》（Applied Optics），第64卷第24期，2025年，DOI：https://doi.org/10.1364/AO.567228。若使用本代码，请引用如下文献：1. D. Khodadad, 《面向复杂相位图的快速精准相位解缠》，《应用光学》，第64卷第24期，2025年8月10日，DOI：https://doi.org/10.1364/AO.567228；2. D. Khodadad, 《面向复杂相位图快速精准相位解缠的MATLAB代码与示例数据》，figshare（2025），DOI：https://doi.org/10.6084/m9.figshare.29571782