2D zonal integration with unordered data

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


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 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.

Original languageEnglish (US)
Pages (from-to)4662-4667
Number of pages6
JournalApplied optics
Issue number16
StatePublished - Jun 1 2021

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Engineering (miscellaneous)
  • Electrical and Electronic Engineering


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