【摘要】 背景去除是从单幅条纹投影图中恢复相位的重要问题之一，提出了一种改进的模糊c均值（FCM）聚类算法来移除单幅条纹投影图中的背景。该方法使用改进的FCM算法将条纹分为黑、白条纹，并通过改进的FCM目标函数得到背景，从而从条纹投影图中去除背景。将该方法应用在两张模拟图和一张实验图上，并与傅里叶变换方法、基于形态学操作的二维经验模态分解方法、变分分解TV-Hilbert-L~2模型进行了比较。实验结果表明，该方法提高了背景去除的能力和相位提取的精度。更多还原

【Abstract】 Background removal remains one of the most challenging issues in the phase retrieval from a single frame fringe projection pattern. This study proposes a modified fuzzy c-means(FCM) clustering algorithm to remove background from a single fringe projection pattern. To remove the background part from the fringe projection patterns, a modified FCM algorithm was used to divide the fringes into black and white fringes and optimize the modified FCM objective function to get the background part. The performance of this algorithm was evaluated by applying it to two simulated and one experimental fringe projection pattern. Furthermore, it was compared with the Fourier transform method, morphological operation-based bidimensional empirical mode decomposition method, and variational decomposition TV-Hilbert-L~2model. The experimental results indicate that the proposed algorithm improves the ability of background removal and accuracy of phase extraction.更多还原