Application of Region Growing Algorithm in Hartmann Wavefront Reconstruction
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Abstract
The Shack-Hartmann wavefront sensor measures wavefront slopes by analyzing the displacement of focal spots formed by a microlens array. Based on these slope measurements, wavefront reconstruction can be achieved by solving the difference equations that relate slope to phase. A wavefront reconstruction algorithm based on the region-growing method is proposed. Numerical simulations are conducted to compare its performance with the Southwell method for reconstructing various simulated wavefronts. The noise resistance of the algorithms was analyzed by introducing additive white Gaussian noise, and experimental results further validated the effectiveness of the proposed method. The findings indicate that the region-growing-based reconstruction algorithm achieves a lower Root-Mean-Square (RMS) error value compared to the Southwell method, with a computational time reduced to less than 2% of that required by the Southwell method. Moreover, under high-noise conditions, the proposed algorithm maintains superior accuracy and demonstrates strong robustness. It efficiently processes wavefront slope data, providing both theoretical and experimental support for enhancing wavefront reconstruction speed in adaptive optical systems.
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References
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Cite This Article
TY - JOUR AU - Li, Xiwen AU - Liang, Jingyuan AU - Ke, Xizheng PY - 2026 DA - 2026/08/15 TI - Application of Region Growing Algorithm in Hartmann Wavefront Reconstruction JO - Optical Wireless Communication T2 - Optical Wireless Communication JF - Optical Wireless Communication VL - 1 IS - 1 SP - 44 EP - 59 DO - 10.62762/OWC.2026.960227 UR - https://www.icck.org/article/abs/OWC.2026.960227 KW - adaptive optics KW - wavefront reconstruction KW - region growing algorithm KW - shack-hartmann wavefront sensor AB - The Shack-Hartmann wavefront sensor measures wavefront slopes by analyzing the displacement of focal spots formed by a microlens array. Based on these slope measurements, wavefront reconstruction can be achieved by solving the difference equations that relate slope to phase. A wavefront reconstruction algorithm based on the region-growing method is proposed. Numerical simulations are conducted to compare its performance with the Southwell method for reconstructing various simulated wavefronts. The noise resistance of the algorithms was analyzed by introducing additive white Gaussian noise, and experimental results further validated the effectiveness of the proposed method. The findings indicate that the region-growing-based reconstruction algorithm achieves a lower Root-Mean-Square (RMS) error value compared to the Southwell method, with a computational time reduced to less than 2% of that required by the Southwell method. Moreover, under high-noise conditions, the proposed algorithm maintains superior accuracy and demonstrates strong robustness. It efficiently processes wavefront slope data, providing both theoretical and experimental support for enhancing wavefront reconstruction speed in adaptive optical systems. SN - 5 Articles Required PB - Institute of Central Computation and Knowledge LA - English ER -
@article{Li2026Applicatio,
author = {Xiwen Li and Jingyuan Liang and Xizheng Ke},
title = {Application of Region Growing Algorithm in Hartmann Wavefront Reconstruction},
journal = {Optical Wireless Communication},
year = {2026},
volume = {1},
number = {1},
pages = {44-59},
doi = {10.62762/OWC.2026.960227},
url = {https://www.icck.org/article/abs/OWC.2026.960227},
abstract = {The Shack-Hartmann wavefront sensor measures wavefront slopes by analyzing the displacement of focal spots formed by a microlens array. Based on these slope measurements, wavefront reconstruction can be achieved by solving the difference equations that relate slope to phase. A wavefront reconstruction algorithm based on the region-growing method is proposed. Numerical simulations are conducted to compare its performance with the Southwell method for reconstructing various simulated wavefronts. The noise resistance of the algorithms was analyzed by introducing additive white Gaussian noise, and experimental results further validated the effectiveness of the proposed method. The findings indicate that the region-growing-based reconstruction algorithm achieves a lower Root-Mean-Square (RMS) error value compared to the Southwell method, with a computational time reduced to less than 2\% of that required by the Southwell method. Moreover, under high-noise conditions, the proposed algorithm maintains superior accuracy and demonstrates strong robustness. It efficiently processes wavefront slope data, providing both theoretical and experimental support for enhancing wavefront reconstruction speed in adaptive optical systems.},
keywords = {adaptive optics, wavefront reconstruction, region growing algorithm, shack-hartmann wavefront sensor},
issn = {5 Articles Required},
publisher = {Institute of Central Computation and Knowledge}
}
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