journal article·2026-05-12Open access

Hadamard Matrix Slicing Single‐Pixel Imaging: Establishing a Linear‐Array‐Inspired Paradigm for N ‐fold Acceleration Single‐Pixel Imaging

Xiaoxue Li, Jieting Hou, Qizheng Zhao, Yiqi Jia, Xiang Zhong, Mengchao Ma, Huaxia Deng, Xinglong Gong, Ziwei Wang

Abstract

ABSTRACT Linear array detectors dominate fields like industrial inspection owing to their efficient push‐broom scanning modes. However, Single‐Pixel Imaging (SPI) remains constrained by global 2D modulation, where the requisite pattern count scales quadratically with resolution. This imposes severe bottlenecks on data throughput and modulation duration. To overcome these limitations, Hadamard Matrix Slicing Single‐Pixel Imaging (HMS‐SPI) is proposed, which establishes an efficient 1D imaging paradigm analogous to linear array sensors. By mathematically slicing the traditional 2D Hadamard matrix into 1D encoding vectors, HMS‐SPI reduces the measurement patterns required for an image by a factor of while maintaining full sampling. Experimentally, a image is reconstructed from 1,024 measurements in 12.8 seconds at 80 Hz. Furthermore, theoretical analysis demonstrates a potential 51.2 milliseconds acquisition time at a 20 kHz modulation limit. This approach drastically reduces memory consumption and pattern loading latency. By emulating the efficiency of push‐broom scanning, HMS‐SPI provides a transformative solution for high‐throughput SPI applications.
Source: crossref · Quality: baseline

Research context

OpenAlex topics: Random lasers and scattering media · Advanced Optical Sensing Technologies · Semiconductor Quantum Structures and Devices

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Anhui Province Key Laboratory of Measuring Theory and Precision Instrument School of Instrument Science and Opto‐Electronics Engineering Hefei University of Technology Hefei Anhui P. R. China

CAS Key Laboratory of Mechanical Behavior and Design of Materials Department of Modern Mechanics University of Science and Technology of China Hefei Anhui P. R. China

School of Engineering Lancaster University Lancaster UK

Funding

National Natural Science Foundation of China · Royal Society · Engineering and Physical Sciences Research Council · European Commission

References (42)

Show source-provided references
1. S. A.Taylor “CCD and CMOS Imaging Array Technologies: Technology Review ”Xerox Research Centre Europe Cambridge UK Tech. Rep. EPC‐1998‐106(1998).
2. 10.1016/j.procs.2020.02.07310.1016/j.procs.2020.02.073 ↗
3. 10.1063/5.020518010.1063/5.0205180 ↗
4. 10.1364/OE.40319510.1364/OE.403195 ↗
5. 10.1038/s41566-018-0300-710.1038/s41566-018-0300-7 ↗
6. 10.1088/2040-8986/ab147110.1088/2040-8986/ab1471 ↗
7. 10.3390/s1903073210.3390/s19030732 ↗
8. 10.1103/PhysRevLett.92.09390310.1103/PhysRevLett.92.093903 ↗
9. 10.1016/j.optcom.2019.04.02210.1016/j.optcom.2019.04.022 ↗
10. 10.1016/j.optcom.2023.13001110.1016/j.optcom.2023.130011 ↗
11. 10.1103/PhysRevLett.104.25360310.1103/PhysRevLett.104.253603 ↗
12. 10.1364/OE.21.02382210.1364/OE.21.023822 ↗
13. 10.1126/science.123445410.1126/science.1234454 ↗
14. 10.1038/ncomms1201010.1038/ncomms12010 ↗
15. 10.1126/sciadv.160178210.1126/sciadv.1601782 ↗
16. High‐Speed Compressive Microscopy of Flowing Cells Using Sinusoidal Illumination Patterns10.1109/JPHOT.2016.2644869 ↗
17. B.JalaliandK.Goda “Photonic Time‐Stretch: From World's Fastest Digitizer to the World's Fastest Camera ” in2010 IEEE International Topical Meeting on Microwave Photonics(2010) 175–176.10.1109/MWP.2010.5664147 ↗
18. 10.1038/nature0798010.1038/nature07980 ↗
19. 10.1364/OE.18.01001610.1364/OE.18.010016 ↗
20. 10.1073/pnas.120471810910.1073/pnas.1204718109 ↗
21. 10.1364/OPTICA.2.00103710.1364/OPTICA.2.001037 ↗
22. 10.1063/1.494105010.1063/1.4941050 ↗
23. 10.1063/1.490763510.1063/1.4907635 ↗
24. 10.1016/j.optlaseng.2022.10710110.1016/j.optlaseng.2022.107101 ↗
25. 10.1002/advs.20210110610.1002/advs.202101106 ↗
26. 10.1109/TGRS.2014.236553410.1109/TGRS.2014.2365534 ↗
27. 10.1063/1.494308610.1063/1.4943086 ↗
28. 10.1002/advs.20251265510.1002/advs.202512655 ↗
29. 10.1016/j.optlaseng.2024.10807110.1016/j.optlaseng.2024.108071 ↗
30. 10.1103/PhysRevA.52.R342910.1103/PhysRevA.52.R3429 ↗
31. 10.1103/PhysRevA.78.06180210.1103/PhysRevA.78.061802 ↗
32. 10.1063/1.323829610.1063/1.3238296 ↗
33. 10.1063/5.019478410.1063/5.0194784 ↗
34. 10.1038/s41598-017-18171-710.1038/s41598-017-18171-7 ↗
35. 10.1016/j.optcom.2017.12.04110.1016/j.optcom.2017.12.041 ↗
36. 10.1038/s41598-018-20521-y10.1038/s41598-018-20521-y ↗
37. 10.1364/AO.39025610.1364/AO.390256 ↗
38. 10.3390/s2006167410.3390/s20061674 ↗
39. 10.1364/OL.57489510.1364/OL.574895 ↗
40. 10.1364/OL.57637110.1364/OL.576371 ↗
41. M.Bevilacqua A.Roumy C.Guillemot andM.Line Alberi Morel “Low‐Complexity Single‐Image Super‐Resolution Based on Nonnegative Neighbor Embedding ” inProceedings of the British Machine Vision Conference(2012) 135.1–135.10.10.5244/C.26.135 ↗
42. 10.3390/s1919412210.3390/s19194122 ↗