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N. Berlakovich, M. Fuerst, E. Csencsics, G. Schitter:
"Robust wavefront segment registration based on a parallel approach";
Applied Optics, 60 (2021), 6; 1578 - 1586.

This paper presents a robust registration algorithm for wavefront reconstruction from multiple partial measurements. Wavefronts exceeding the dynamic range or size of the Shack-Hartmann sensor (SHS) can be measured as a set of segments. The wavefront is reconstructed by parallel registration of these wavefront segments, enabling the compensation of sensor misalignment as well as of phase differences. For registration, a global mismatch metric is minimized by rigid body transformations and propagation of the wavefront segments. Apart from the description of the algorithm, simulation-based evaluation and comparison to the iterative closest point (ICP) algorithm is performed. It is shown that in the case of a noisy data set, the parallel approach enables reconstruction errors which are a factor 10 smaller than the result obtained with the ICP algorithm.

http://dx.doi.org/10.1364/AO.413207

https://publik.tuwien.ac.at/files/publik_295213.pdf