Abstract
Computed tomographic X-ray velocimetry has been developed for simultaneous three-dimensional measurement of flow and vessel geometry. The technique uses cross-correlation functions calculated from X-ray projection image pairs acquired at multiple viewing angles to tomographically reconstruct the flow through opaque objects with high resolution. The reconstruction is performed using an iterative, least squares approach. The simultaneous measurement of the object’s structure is performed with a limited projection tomography method. An extensive parametric study using Monte Carlo simulation reveals accurate measurements with as few as 3 projection angles, and a minimum required scan angle of only 30°. When using a single/source detector system, the technique is limited to measurement of periodic or steady flow fields; however, with the use of a multiple source/detector system, instantaneous measurement will be possible. Synchrotron experiments are conducted to demonstrate the simultaneous measurement of structure and flow in a complex geometry with strong three-dimensionality. The technique will find applications in biological flow measurement, and also in engineering applications where optical access is limited, such as in mineral processing.
Similar content being viewed by others
References
Adrian RJ (2005) Twenty years of particle image velocimetry. Exp Fluids 39:159–169
Azevedo SG, Schneberk DJ, Fitch JP, Martz HE (1990) Calculation of the rotational centers in computed tomography sinograms. IEEE Trans Nucl Sci 37:1525–1540
Barnhart DH, Adrian RJ, Papen GC (1994) Phase-conjugate holographic system for high-resolution particle-image velocimetry. Appl Opt 33:7159–7170
Berry MV, Gibbs DF (1970) Interpretation of optical projections. Proc R Soc Lond Ser A 314:143
Donath T, Beckmann F, Schreyer A (2006) Automated determination of the center of rotation in tomography data. J Opt Soc Am 23:1048–1053
Dubsky S, Jamison RA, Irvine SC, Siu KKW, Hourigan K, Fouras A (2010) Computed tomographic x-ray velocimetry. Appl Phys Lett 96:023702
Elsinga GE, Scarano F, Wieneke B, van Oudheusden BW (2006) Tomographic particle image velocimetry. Exp Fluids 41:933–947
Fouras A, Soria J (1998) Accuracy of out-of-plane vorticity measurements derived from in-plane velocity field data. Exp Fluids 25:409–430
Fouras A, Dusting J, Lewis R, Hourigan K (2007) Three-dimensional synchrotron x-ray particle image velocimetry. J Appl Phys 102:064916
Fouras A, Kitchen MJ, Dubsky S, Lewis RA, Hooper SB, Hourigan K (2009) The past, present, and future of x-ray technology for in vivo imaging of function and form. J Appl Phys 105:102009
Fouras A, Lo Jacono D, Nguyen CV, Hourigan K (2009) Volumetric correlation PIV: a new technique for 3D velocity vector field measurement. Exp Fluids 47:569–577
Hove JR, Koster RW, Forouhar AS, Acevedo-Bolton G, Fraser SE, Gharib M (2003) Intracardiac fluid forces are an essential epigenetic factor for embryonic cardiogenesis. Nature 421:172–177
Im KS, Fezzaa K, Wang YJ, Liu X, Wang J, Lai MC (2007) Particle tracking velocimetry using fast x-ray phase-contrast imaging. Appl Phys Lett 90:091919
Irvine SC, Paganin DM, Dubsky S, Lewis RA, Fouras A (2008) Phase retrieval for improved three-dimensional velocimetry of dynamic x-ray blood speckle. Appl Phys Lett 93(15):153901
Irvine SC, Paganin DM, Jamison A, Dubsky S, Fouras A (2010) Vector tomographic X-ray phase contrast velocimetry utilizing dynamic blood speckle. Opt Express 18:2368–2379
Kak AC, Slaney M (2001) Principles of computerized tomographic imaging. Society of Industrial and Applied Mathematics, Philadelphia
Kertzscher U, Seeger A, Affeld K, Goubergrits L, Wellnhofer E (2004) X-ray based particle tracking velocimetry—a measurement technique for multi-phase flows and flows without optical access. Flow Meas Instrum 36:455–462
Kheradvar A, Houle H, Pedrizzetti G, Tonti G, Belcik T, Ashraf M, Lindner JR, Gharib M, Sahn D (2010) Echocardiographic particle image velocimetry: a novel technique for quantification of left ventricular blood vorticity pattern. J Am Soc Echocardiogr 23:86–94
Kim GB, Lee SJ (2006) X-ray PIV measurements of blood flows without tracer particles. Exp Fluids 41:195–200
Kim HB, Hertzberg JR, Shandas R (2004) Development and validation of echo PIV. Exp Fluids 36:455–462
Kitzhofer J, Brucker C (2010) Tomographic particle tracking velocimetry using telecentric imaging. Exp Fluids
Lee SJ, Kim GB (2003) X-ray particle image velocimetry for measuring quantitative flow information inside opaque objects. J Appl Phys 94:3620–3623
Lee SJ, Jung SY, Ahn S (2010) Flow tracing microparticle sensors designed for enhanced X-ray contrast. Biosens Bioelectron 25:1571–1578
Lu J, Pereira F, Fraser SE, Gharib M (2008) Three-dimensional real-time imaging of cardiac cell motions in living embryos. J Biomed Opt 13(1):014006
Maas HG, Gruen A, Papantoniou D (1993) Particle tracking velocimetry in three-dimensional flows. Exp Fluids 15:133–146
Nesbitt WS, Westein E, Tovar-Lopez FJ, Tolouei E, Mitchell A, Fu J, Carberry J, Fouras A, Jackson SP (2009) A shear gradient-dependent platelet aggregation mechanism drives thrombus formation. Nat Med 15:665–U146
Niu L, Qian M, Wan K, Yu WT, Jin QF, Ling T, Gao S, Zheng HR (2010) Ultrasonic particle image velocimetry for improved flow gradient imaging: algorithms, methodology and validation. Phys Med Biol 55:2103–2120
Poelma C, Vander Heiden K, Hierck BP, Poelmann RE, Westerweel J (2010) Measurements of the wall shear stress distribution in the outflow tract of an embryonic chicken heart. J R Soc Interface 7:91–103
Pereira F, Gharib M, Dabiri D, Modarress D (2000) Defocusing digital particle image velocimetry: a 3-component 3-dimensional DPIV measurement technique. Exp Fluids 29(7):S78–S84
Seeger A, Affeld K, Goubergrits L, Kertzscher U, Wellnhofer E (2001) X-ray-based assessment of the three-dimensional velocity of the liquid phase in a bubble column. Exp Fluids 31:193–201
Troolin DR, Longmire EK (2010) Volumetric velocity measurements of vortex rings from inclined exits. Exp Fluids 48:409–420
Vetel J, Garon A, Pelletier D (2009) Lagrangian coherent structures in the human carotid artery bifurcation. Exp Fluids 46:1067–1079
Wang YJ, Liu X, Im KS, Lee WK, Wang J, Fezzaa K, Hung DLS, Winkelman JR (2008) Ultrafast X-ray study of dense-liquid-jet flow dynamics using structure-tracking velocimetry. Nat Phys 4:305–309
Westerweel J (2008) On velocity gradients in PIV interrogation. Exp Fluids 44:831–842
Westerweel J, Geelhoed PF, Lindken R (2004) Single-pixel resolution ensemble correlation for micro-PIV applications. Exp Fluids 37:375–384
Wilkins SW, Gureyev TE, Gao D, Pogany A, Stevenson AW (1996) Phase-contrast imaging using polychromatic hard X-rays. Nature 384:335–338
Willert CE, Gharib M (1992) 3-Dimensional particle imaging with a single camera. Exp Fluids 12:353–358
Acknowledgments
The authors gratefully acknowledge the support of the Japan Synchrotron Radiation Research Institute (JASRI) under Proposal Nos. 2009A0022 and 2009A1882. The authors would like to thank Prof. Naoto Yagi and Dr. Kentaro Uesugi of SPring-8/JASRI for their assistance with the experiments. Support from the Australian Research Council (Grant Nos. DP0877327, DP0987643) is also gratefully acknowledged.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Dubsky, S., Jamison, R.A., Higgins, S.P.A. et al. Computed tomographic X-ray velocimetry for simultaneous 3D measurement of velocity and geometry in opaque vessels. Exp Fluids 52, 543–554 (2012). https://doi.org/10.1007/s00348-010-1006-x
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00348-010-1006-x