Experiments in Fluids

, 58:78 | Cite as

Light-field camera-based 3D volumetric particle image velocimetry with dense ray tracing reconstruction technique

  • Shengxian ShiEmail author
  • Junfei Ding
  • T. H. New
  • Julio Soria
Research Article


This paper presents a dense ray tracing reconstruction technique for a single light-field camera-based particle image velocimetry. The new approach pre-determines the location of a particle through inverse dense ray tracing and reconstructs the voxel value using multiplicative algebraic reconstruction technique (MART). Simulation studies were undertaken to identify the effects of iteration number, relaxation factor, particle density, voxel–pixel ratio and the effect of the velocity gradient on the performance of the proposed dense ray tracing-based MART method (DRT-MART). The results demonstrate that the DRT-MART method achieves higher reconstruction resolution at significantly better computational efficiency than the MART method (4–50 times faster). Both DRT-MART and MART approaches were applied to measure the velocity field of a low speed jet flow which revealed that for the same computational cost, the DRT-MART method accurately resolves the jet velocity field with improved precision, especially for the velocity component along the depth direction.



Financial support provided by National Natural Science Foundation of China (Grant No. 11472175), Shanghai Raising Star Program (Grant No. 15QA1402400) and Singapore Ministry of Education AcRF Tier-2 Grant (Grant No. MOE2014-T2-1-002) are gratefully acknowledged.


  1. Adrian R, Westerweel J (2011) Particle image velocimetry. Cambridge University Press, CambridgezbMATHGoogle Scholar
  2. Arroyo M, Greated C (1991) Stereoscopic particle image velocimetry. Meas Sci Technol 2:1181–1186CrossRefGoogle Scholar
  3. Arroyo M, Hinsch K (2008) Recent developments of PIV towards 3D measurements. In: Particle image velocimetry: new developments and recent applications. Springer, New YorkGoogle Scholar
  4. Atkinson C, Soria J (2009) An efficient simultaneous reconstruction technique for tomographic particle image velocimetry. Exp Fluid 47:553–568CrossRefGoogle Scholar
  5. Belden J, Truscott T, Axiak M, Techet A (2010) Three-dimensional synthetic aperture particle image velocimetry. Meas Sci Technol 21:1–21CrossRefGoogle Scholar
  6. Brucker C (1996) 3-D scanning-particle-image-velocimetry: technique and application to a spherical cap wake flow. Appl Sci Res 56:157–179CrossRefGoogle Scholar
  7. Deem E, Zhang Y, Cattafesta L, Fahringer T, Thurow B (2016) On the resolution of plenoptic PIV. Meas Sci Technol 27:084003CrossRefGoogle Scholar
  8. Ding J, Wang J, Liu Y, Shi S (2015) Dense ray tracing based reconstruction algorithm for light-field volumetric particle image velocimetry. In: 7th Australian Conference on Laser Diagnostics in Fluid Mechanics and Combustion. Melbourne, AustraliaGoogle Scholar
  9. Elsinga G, Scarano F, Wieneke B, van Oudheusden B (2006) Tomographic particle image velocimetry. Exp Fluid 41:933–947CrossRefGoogle Scholar
  10. Fahringer T, Thurow B (2015) On the development of filtered refocusing: a volumetric reconstruction algorithm for plenoptic-PIV. In: 11th International Symposium on Particle Image Velocimetry–PIV15, Santa Barbara, CaliforniaGoogle Scholar
  11. Fahringer T, Lynch K, Thurow B (2015) Volumetric particle image velocimetry with a single plenoptic camera. Meas Sci Technol 26:115201, 25CrossRefGoogle Scholar
  12. Georgiev T, Zheng K, Curless B, Salesin D, Nayar S, Intwala C (2006) Spatio-angular resolution tradeoff in integral photography. In: Eurographics Symposium on renderingGoogle Scholar
  13. Hori T, Sakakibara J (2004) High-speed scanning stereoscopic PIV for 3D vorticity measurement in liquids. Meas Sci Technol 15:1067–1078CrossRefGoogle Scholar
  14. Katz J, Sheng J (2010) Applications of holography in fluid mechanics and particle dynamics. Annu Rev Fluid Mech 42:531–555CrossRefGoogle Scholar
  15. New TH, Tsai HM (2007) Experimental investigations on indeterminate-origin V-and A-notched jets. AIAA J 45:828–839CrossRefGoogle Scholar
  16. New TH, Tsovolos D (2009) Influence of nozzle sharpness on the flow fields of V-notched nozzle jets. Phys Fluids 21:084107CrossRefzbMATHGoogle Scholar
  17. New TH, Tsovolos D (2011) On the vortical structures and behaviour of inclined elliptic jets. Eur J Mech-B/Fluids 30:437–450CrossRefzbMATHGoogle Scholar
  18. Ng R (2006) Digital light-field photography. PhD thesis, Stanford, CA, USAGoogle Scholar
  19. Pereira F, Gharib M, Dabiri D, Modarress M (2000) Defocusing PIV: a three-component 3-D PIV measurement technique application to bubbly flows. Exp Fluid 29:S78–S84CrossRefGoogle Scholar
  20. Prasad A, Adrian R (1993) Stereoscopic particle image velocimetry applied to liquid flows. Exp Fluid 15:49–60CrossRefGoogle Scholar
  21. Scarano F (2012) Tomographic PIV: principles and practice. Meas Sci Technol 26:1–28Google Scholar
  22. Shi S, Wang J, Ding J, Zhao Z, New TH (2016) Parametric study on light-field volumetric particle image velocimetry. Flow Meas Instrum 49:70–88CrossRefGoogle Scholar
  23. Soria J (1996) An investigation of the near wake of a circular cylinder using a video-based digital cross-correlation particle image velocimetry technique. Exp Therm Fluid Sci 12(2):221–233CrossRefGoogle Scholar
  24. Soria J, Atkinson C (2008) Towards 3C–3D digital holographic fluid velocity vector field measurement—tomographic digital holographic PIV (Tomo-HPIV). Meas Sci Technol 19:074002CrossRefGoogle Scholar
  25. Willert C, Gharib M (1992) Three-dimensional particle imaging with a single camera. Exp Fluid 12:353–358CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2017

Authors and Affiliations

  • Shengxian Shi
    • 1
    Email author
  • Junfei Ding
    • 1
  • T. H. New
    • 2
  • Julio Soria
    • 3
    • 4
  1. 1.School of Mechanical EngineeringShanghai Jiao Tong UniversityShanghaiChina
  2. 2.School of Mechanical and Aerospace EngineeringNanyang Technological UniversitySingaporeSingapore
  3. 3.Laboratory for Turbulence Research in Aerospace and Combustion, Department of Mechanical and Aerospace EngineeringMonash UniversityMelbourneAustralia
  4. 4.Department of AeronauticsKing Abdulaziz UniversityJeddahKingdom of Saudi Arabia

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