标题： 基于加权最小二乘法的鲁棒无包裹相位恢复方法 显示英文标题

标题： Robust Wrapping-free Phase Retrieval Method Based on Weighted Least-square Method

摘要： 对于许多轮廓测量技术，相位解包裹是其中一个最具挑战性的过程。为了避开相位解包裹过程，Perciante等人[Appl Opt 2015; 54(10):3018-23]提出了一种无需包裹的方法，该方法基于对图案的空间导数进行直接积分以获取相位。但这种方法仅适用于被测物体相位连续的情况，这意味着它可能无法处理包含复杂奇点的条纹图案，例如噪声、阴影、剪切和表面不连续性。鉴于此问题，本文提出了一种鲁棒的无需包裹的相位获取方法，该方法结合了Perciante的方法和加权最小二乘法。从条纹图案中获得所需相位的两个偏导数，同时使用直接相位差法消除载波。利用导数方差相关图（DVCM）确定相位奇点，并从反向DVCM的二值掩膜中获得权重系数。进行了仿真和实验以证明所提出方法的有效性。结果被分析并与Perciante的方法进行比较，结果表明所提出的方法可用于测量一些具有奇点源的物体。 显示英文摘要

摘要： For many profilometry techniques, phase unwrapping is one of the most challenging process. In order to sidestep the phase unwrapping process, Perciante et. al [Appl Opt 2015; 54(10):3018-23] proposed a wrapping-free method based on the direct integration of the spatial derivatives of the patterns to retrieve the phase. But it is only applicable for the case of the phase continuity for the tested object, which means it may fail to handle fringe patterns containing complicated singularities, such as noise, shadow, shears and surface discontinuity. In view of this problems, a robust wrapping-free phase retrieval method is proposed in this paper, which is based on combined Perciante's method and weighted least-squares method. Two partial derivatives of the desired phase is obtained from the fringe patterns, meanwhile the carrier is eliminated using direct phase difference method. The phase singularities are determined using derivative variance correlation map (DVCM), and the weighting coefficient is obtained from the binary mask of the reverse DVCM. Simulations and experiments are conducted to prove the validity of the proposed method. Results are analyzed and compared with those of Perciante's method, demonstrating that the proposed method can be available for measuring objects with some kinds of singularities sources.