2D zonal integration with unordered data
- Resource Type
- Article
- Authors
- Smith, Greg A.
- Source
- Applied Optics; June 2021, Vol. 60 Issue: 16 p4662-4667, 6p
- Subject
- Language
- ISSN
- 1559128X; 21553165
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.