AuthorSmith, Greg A.
AffiliationUniversity of Arizona, James C. Wyant College of Optical Sciences
MetadataShow full item record
PublisherThe Optical Society
CitationSmith, G. A. (2021). 2D zonal integration with unordered data. Applied Optics, 60(16), 4662-4667.
Rights© 2021 Optical Society of America under the terms of the OSA Open Access Publishing Agreement.
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AbstractNumerical 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 viaTaylor 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. © 2021 Optical Society of America.
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