Hybrid Algorithm for Particle Image Velocimetry Based on Cross-Correlation with Optical Flow Pyramid

Xiuxia Liang; Chong Liu; Yueyang He; Shuai Wang; Tao Liang

doi:10.3788/LOP242431

Laser & Optoelectronics Progress, Volume. 62, Issue 12, 1212002(2025)

Hybrid Algorithm for Particle Image Velocimetry Based on Cross-Correlation with Optical Flow Pyramid

Xiuxia Liang, Chong Liu^*, Yueyang He, Shuai Wang, and Tao Liang

Author Affiliations

School of Artificial Intelligence, Hebei University of Technology, Tianjin 300132, China

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Figures & Tables(12)

Fig. 1. Schematic diagram of the working principle for PIV system

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Fig. 2. Flowchart of Hybrid-CC+OFP algorithm

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Fig. 3. Visualization results of DNS turbulent velocity fields and vorticity structures

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Fig. 4. Visualization results of small-scale velocity fields and vorticity structures under different illumination cases

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Fig. 5. Effect of particle diameter on algorithm accuracy. (a) RMSE; (b) AAE

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Fig. 6. Effect of particle displacement on algorithm accuracy. (a) RMSE; (b) AAE

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Fig. 7. Experimental images of Karman vortex street and vortex pair flow

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Fig. 8. Visualization results of image velocity fields for Karman vortex street experiments

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Fig. 9. Visualization results of image velocity fields for vortex pair flow experiments

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Fig. 10. Turbulent PSD of different experimental results. (a) Karman vortex street experiment, x=100 pixel; (b) vortex pair flow experiment, x=220 pixel

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Table 1. Reconstruction errors and running time of DNS turbulent velocity field by different methods
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Table 1. Reconstruction errors and running time of DNS turbulent velocity field by different methods
Method RMSE AAE /（°） Total time /s
Cross-correlation 0.521 16.176 1.198
HS optical flow 0.386 13.512 1.954
Hybrid-Liu 0.341 10.805 5.110
Hybrid-CC+OFP 0.256 7.132 4.083

Table 2. Reconstruction errors of velocity field under different illumination cases
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Table 2. Reconstruction errors of velocity field under different illumination cases
Method RMSE AAE /（°）
Control group Constant Linear Cosin Control group Constant Linear Cosin
Hybrid-Liu 0.341 0.372 0.384 0.402 10.805 12.239 13.239 14.975
Hybrid-CC+OFP 0.256 0.260 0.266 0.275 7.132 7.434 8.197 8.361

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Xiuxia Liang, Chong Liu, Yueyang He, Shuai Wang, Tao Liang. Hybrid Algorithm for Particle Image Velocimetry Based on Cross-Correlation with Optical Flow Pyramid[J]. Laser & Optoelectronics Progress, 2025, 62(12): 1212002

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Paper Information

Category: Instrumentation, Measurement and Metrology

Received: Dec. 13, 2024

Accepted: Dec. 25, 2024

Published Online: Jun. 6, 2025

The Author Email: Chong Liu (transchuan0124@163.com)

DOI:10.3788/LOP242431

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology

Table 1. Reconstruction errors and running time of DNS turbulent velocity field by different methods

Table 1. Reconstruction errors and running time of DNS turbulent velocity field by different methods

Table 2. Reconstruction errors of velocity field under different illumination cases

Table 2. Reconstruction errors of velocity field under different illumination cases