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Peer-reviewedCC BYPLOS One

Controlled numerical generation and reconstruction of off-axis digital holograms with object-specific frequency-domain filtering

  1. 1School of Life Sciences, Tiangong University, Tianjin, China.
  2. 2College of Engineering and Technology, Tianjin Agricultural University, Tianjin, China.

Abstract

Deep-learning-based holographic reconstruction requires numerical data with reliable ground truth for training and quantitative evaluation. Experimental hologram acquisition and pixel-level phase annotation can be difficult to control, making physically defined numerical cases useful as reproducible benchmarks. Here, three analytically specified phase targets—a smooth Gaussian distribution, a four-level step distribution, and a radially structured Siemens Star—are used to generate off-axis digital holograms with known phase ground truth. A frequency-domain filtering procedure is applied before inverse Fourier reconstruction, followed by DCT-based global phase unwrapping. Reconstruction quality is quantified using root mean square error (RMSE), mean absolute error (MAE), correlation coefficient, and profile-based error analysis. The results show that reconstruction errors are comparatively small in smooth regions and increase near abrupt or high-spatial-frequency phase transitions. The three cases are therefore presented as controlled benchmark examples for algorithm verification and baseline comparison, not as a complete substitute for experimental holographic datasets or as a complete training corpus for deep-learning models.

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BibTeX
@article{lu2026controlled,
  title = {{Controlled numerical generation and reconstruction of off-axis digital holograms with object-specific frequency-domain filtering}},
  author = {Junsheng Lu and Xiaolong Shi and Jiaqi Sun and Shuhong Ren and Yanan Zeng},
  journal = {PLOS One},
  year = {2026},
  month = oct,
  doi = {10.1371/journal.pone.0360375},
  url = {https://doi.org/10.1371/journal.pone.0360375},
  note = {CC BY},
}
RIS
TY  - JOUR
TI  - Controlled numerical generation and reconstruction of off-axis digital holograms with object-specific frequency-domain filtering
AU  - Junsheng Lu
AU  - Xiaolong Shi
AU  - Jiaqi Sun
AU  - Shuhong Ren
AU  - Yanan Zeng
PY  - 2026
DA  - 2026/10/22
JO  - PLOS One
DO  - 10.1371/journal.pone.0360375
UR  - https://doi.org/10.1371/journal.pone.0360375
AB  - Deep-learning-based holographic reconstruction requires numerical data with reliable ground truth for training and quantitative evaluation. Experimental hologram acquisition and pixel-level phase annotation can be difficult to control, making physically defined numerical cases useful as reproducible benchmarks. Here, three analytically specified phase targets—a smooth Gaussian distribution, a four-level step distribution, and a radially structured Siemens Star—are used to generate off-axis digital holograms with known phase ground truth. A frequency-domain filtering procedure is applied before inverse Fourier reconstruction, followed by DCT-based global phase unwrapping. Reconstruction quality is quantified using root mean square error (RMSE), mean absolute error (MAE), correlation coefficient, and profile-based error analysis. The results show that reconstruction errors are comparatively small in smooth regions and increase near abrupt or high-spatial-frequency phase transitions. The three cases are therefore presented as controlled benchmark examples for algorithm verification and baseline comparison, not as a complete substitute for experimental holographic datasets or as a complete training corpus for deep-learning models.
SN  - 1932-6203
ER  -