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首页> 外文会议>Speckle 2010: Optical metrology >Coping with low modulation in speckle interferometry: a novel approach based on the Delaunay triangulation
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Coping with low modulation in speckle interferometry: a novel approach based on the Delaunay triangulation

机译：应对斑点干涉中的低调制：一种基于Delaunay三角测量的新颖方法

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摘要

Interferometric signals involving speckle waves invariably exhibit phase indeterminations. These indeterminations arise at the zero-intensities of the speckle fields, or singularities, and show themselves as a net loss of modulation depth of the interferometric signals. To bypass the difficulty associated with the processing of low modulated parts of speckle interferometry signals, we propose a novel approach based on the Delaunay triangulation (DT). The method applies in both situations of static and dynamic regimes, and is designated respectively by "sine-cosine DT filter" and "3D piecewise processing" or 3DPP - 3D denoting the temporal and the two spatial coordinates of the recording. The task consists in discarding purely and simply the under-modulated parts of the signal according to a user-defined binary criterion, and filling the missing parts by interpolation. This first step provides a grid with nodes randomly occupied by reliable phase values or empty. At the empty nodes, the computed phase values result from a DT ensuring that the interpolation relies on the three closest well-behaved neighbors, followed by spline-fitting a smooth surface over them. In a dynamic regime - where the benefits of the temporal approach are unanimously acknowledged - the empirical mode decomposition is used to select the valid intervals and the Hilbert transform to compute phase data therein. We give a detailed description of the DT filtering techniques, show their ability to offer the optimal compromise between spatial and measurement resolutions depending on the user-chosen binary criterion and highlight some definite advantages over classical filtering methods in terms of phase error reduction and algorithmic complexity.
机译：涉及散斑波的干涉信号始终显示相位不确定性。这些不确定性出现在散斑场的零强度或奇异点处，并以干涉信号的调制深度的净损失表示自身。为了绕过与处理散斑干涉测量信号的低调制部分相关的困难，我们提出了一种基于Delaunay三角测量（DT）的新颖方法。该方法适用于静态和动态两种情况，分别由“正弦余弦DT滤波器”和“ 3D分段处理”或3DPP-3D表示，它们表示记录的时间和两个空间坐标。任务包括根据用户定义的二进制准则完全，简单地丢弃信号的欠调制部分，并通过插值填充丢失的部分。第一步是提供一个网格，其中节点随机被可靠的相位值占据或为空。在空节点处，计算得到的相位值来自DT，确保插值依赖于三个最近的行为良好的邻居，然后在其上进行样条拟合平滑表面。在动态方式下-一致承认时间方法的优势-使用经验模式分解来选择有效区间，并使用希尔伯特变换来计算其中的相位数据。我们对DT滤波技术进行了详细描述，展示了它们能够根据用户选择的二进制准则在空间分辨率和测量分辨率之间提供最佳折衷的能力，并着重说明了在相位误差减少和算法复杂性方面优于传统滤波方法的某些确定的优势。

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