Wang Haixia, Kemao Qian
School of Computer Engineering, Nanyang Technological University, Singapore, 639798.
Appl Opt. 2011 Apr 20;50(12):1687-96. doi: 10.1364/AO.50.001687.
Fringe patterns produced by various optical interferometric techniques encode information such as shape, deformation, and refractive index. Noise affects further processing of the fringe patterns. Denoising is often needed before fringe pattern demodulation. Filtering along the fringe orientation is an effective option. Such filters include coherence enhancing diffusion, spin filtering with curve windows, second-order oriented partial-differential equations, and the regularized quadratic cost function for oriented fringe pattern filtering. These filters are analyzed to establish the relationships among them. Theoretical analysis shows that the four filters are largely equivalent to each other. Quantitative results are given on simulated fringe patterns to validate the theoretical analysis and to compare the performance of these filters.
各种光学干涉测量技术产生的条纹图案对诸如形状、变形和折射率等信息进行编码。噪声会影响条纹图案的进一步处理。在条纹图案解调之前通常需要进行去噪。沿条纹方向进行滤波是一种有效的选择。此类滤波器包括相干增强扩散、带曲线窗口的自旋滤波、二阶方向偏微分方程以及用于方向条纹图案滤波的正则化二次代价函数。对这些滤波器进行分析以建立它们之间的关系。理论分析表明这四种滤波器在很大程度上彼此等效。给出了关于模拟条纹图案的定量结果，以验证理论分析并比较这些滤波器的性能。
