Introducing a carrier into a fringe pattern makes the phase retrieval problem well-posed, and has become one of the pillar techniques in optical metrology. The carrier fringe pattern analysis for high-accuracy phase retrieval is hence important, for which, many well-known methods have been developed, such as the Fourier transform method, the windowed Fourier transform based methods (the windowed Fourier filtering and the windowed Fourier ridges), the spatial carrier phase-shifting method, and the sampling moiré method. These methods were developed independently and seemingly different. The purpose of this paper is to reveal the close relationships between them, and to connect these methods into a tight-knit methodology family.

将载流子引入条纹图案使相位反演问题适定，已成为光学计量的支柱技术之一。因此，对于高精度相位反演的载波条纹图分析非常重要，为此，已经开发了许多众所周知的方法，例如傅里叶变换方法，基于加窗傅里叶变换的方法（加窗傅里叶滤波和加窗傅里叶脊)、空间载波相移法和采样莫尔法。这些方法是独立开发的，看似不同。本文的目的是揭示它们之间的密切关系，并将这些方法连接到一个紧密结合的方法学家族中。