In this paper, we present a two steps phase-shifting fringe pattern demodulation method using the VU factorization. Compared with other methods, our proposal is robust to non-constant background illuminations and modulating terms (non-normalized fringes). We use the two given fringe patterns, and from these, we synthetically generate another two images that approach the background illumination in order to obtain a total set of four images. Such set is used in a matrix model that can be factorized using the VU factorization method to determine the modulating phase. Our proposal is able to recover the phase without: 1) known phase shift, 2) normalized fringe patterns, and 3) any special non-linear pre-processing. Tests and results with an important representative diversity of interferograms, taken from different experiments, are shown to demonstrate the feasibility of this method.

在本文中，我们提出了一种使用 VU 分解的两步相移条纹图案解调方法。与其他方法相比，我们的建议对非常量背景照明和调制项（非归一化条纹）具有鲁棒性。我们使用两个给定的条纹图案，并从中综合生成另外两个接近背景照明的图像，以获得总共四张图像。此类集合用于矩阵模型中，该模型可以使用 VU 分解方法进行分解以确定调制相位。我们的提议能够在没有：1) 已知相移，2) 归一化条纹图案，以及 3) 任何特殊的非线性预处理的情况下恢复相位。来自不同实验的具有重要代表性的干涉图多样性的测试和结果，