In this paper we introduce fast numerical algorithms for the solution of the model [Total variation regularization cost function for demodulating phase discontinuities, Journal Applied Optics, 53(11):2297-2301, 2014]. For each variable, background illumination, amplitude modulation and phase map, we develop a fixed point method. Then, we write all three algorithms in the same framework and analyze their convergence rates, local smoothing factors by means of Local Fourier Analysis and present experimental evidence of their performance on synthetic and real world problems. AMS subject class: 65N06, 35Q60, 65K10.

中文翻译：

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一种基于全变差的相位解调模型的快速算法

在本文中，我们介绍了求解模型的快速数值算法 [用于解调相位不连续性的总变化正则化成本函数，Journal Applied Optics, 53(11):2297-2301, 2014]。对于每个变量、背景照明、幅度调制和相位图，我们开发了一种定点方法。然后，我们在同一框架中编写所有三种算法，并通过局部傅立叶分析分析它们的收敛速度、局部平滑因子，并提供它们在合成和现实世界问题上的性能的实验证据。AMS 学科类别：65N06、35Q60、65K10。