2D zonal integration with unordered data

Smith Greg A.

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2D zonal integration with unordered data

机译：2D与无序数据集成

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Numerical integration of two-dimensional gradient data is an important step for many slope-measuring optical instruments. However, existing methods are limited by low accuracy or data location restrictions. The zonal integration algorithm in this paper is a generalized process that works with unordered data via Taylor series approximations of finite difference calculations. This method does not require iteration, and all significant steps rely on matrix calculations for a least-squares solution. Simultaneous integration and interpolation is achieved with high accuracy and arbitrary data locations. (C) 2021 Optical Society of America under the terms of the OSA Open Access Publishing Agreement

机译：二维梯度数据的数值积分是许多坡度测量光学仪器的重要步骤。然而，现有的方法受到低精度或数据位置限制的限制。本文中的分区积分算法是一个广义过程，通过有限差分计算的泰勒级数近似处理无序数据。这种方法不需要迭代，所有重要步骤都依赖于最小二乘解的矩阵计算。同时积分和插值可以实现高精度和任意数据位置。（c）OSA开放获取出版协议条款下的美国2021光学学会

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《Applied optics》 |2021年第16期|共6页
作者
Smith Greg A.;
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Univ Arizona James C Wyant Coll Opt Sci 1630 E Univ Blvd Tucson AZ 85721 USA;

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2D zonal integration with unordered data

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