Villa Jesús, De la Rosa Ismael, Miramontes Gerardo, Quiroga Juan Antonio
Laboratorio de Procesamiento Digital de Señales, Facultad de Ingenieria Eléctrica, Universidad Autónoma de Zacatecas, Avenida Ramón López Velarde #801, 98000, Zacatecas, México.
J Opt Soc Am A Opt Image Sci Vis. 2005 Dec;22(12):2766-73. doi: 10.1364/josaa.22.002766.
Recent studies have demonstrated that the phase recovery from a single fringe pattern with closed fringes can be properly performed if the modulo 2pi fringe orientation is estimated. For example, the fringe pattern in quadrature can be efficiently obtained in terms of the orientational phase spatial operator using fast Fourier transformations and a spiral phase spectral operator in the Fourier space. The computation of the modulo 2pi fringe orientation, however, is by far the most difficult task in the global process of phase recovery. For this reason we propose the demodulation of fringe patterns with closed fringes through the computation of the modulo 2pi fringe orientation using an orientational vector-field-regularized estimator. As we will show, the phase recovery from a single pattern can be performed in an efficient manner using this estimator, provided that it requires one to solve locally in the fringe pattern a simple linear system to optimize a regularized cost function. We present simulated and real experiments applying the proposed methodology.
最近的研究表明，如果估计模2π条纹方向，那么从具有闭合条纹的单个条纹图案中进行相位恢复就能正确执行。例如，利用快速傅里叶变换和傅里叶空间中的螺旋相位谱算子，通过取向相位空间算子可以有效地获得正交条纹图案。然而，在相位恢复的全局过程中，计算模2π条纹方向是迄今为止最困难的任务。因此，我们提出通过使用取向矢量场正则化估计器计算模2π条纹方向来对具有闭合条纹的条纹图案进行解调。正如我们将展示的，使用该估计器可以有效地从单个图案中进行相位恢复，前提是它需要在条纹图案中局部求解一个简单的线性系统以优化正则化代价函数。我们展示了应用所提出方法的模拟实验和实际实验。
