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Article

Research Paper

Journal of the Optical Society of Korea 2015; 19(1): 84-87

Published online February 25, 2015 https://doi.org/10.3807/JOSK.2015.19.1.084

Copyright © Optical Society of Korea.

Fast Sub-aperture Stitching Algorithm Using Partial Derivatives

Yiwei Chen, Erlong Miao, Yongxin Sui, and Huaijiang Yang

State Key Laboratory of Applied Optics, Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences

Received: October 6, 2014; Revised: December 4, 2014; Accepted: December 8, 2014

Abstract

For large optical elements which are tested by many sub-apertures, it takes too much time for a sub-aperture stitching algorithm to get the stitching result. To solve this problem, we propose a fast sub-aperture stitching algorithm to quickly compensate for piston, tilt, and defocus errors. Moreover, the new algorithm is easy to understand and program. We use partial derivatives of measurement data to separately solve piston, tilt, and defocus errors. First, we show that the new algorithm has a lower time complexity than the currently used algorithm. Although simulation results indicate that the accuracy of the new algorithm is lower than the current algorithm in all 20 simulations, our experimental results validate the algorithm and show it is sufficiently accurate for general use.

Keywords: Optical testing, Interferometer, Large optical elements, Sub-aperture stitching algorithm,

OCIS codes: 220.4840; 120.3180; 120.6650