Development of a 3-D Fluid Velocimetry Technique based on Light Field Imaging

A novel method for performing 3-D particle image velocimetry is developed and demonstrated. The technique is based on light field photography, which uses a dense lenslet array mounted near a camera sensor to simultaneously sample the spatial and angular distribution of light entering the camera. Computational algorithms are then used to refocus the image after it is taken and render a 3-D intensity distribution. This thesis provides an introduction to the concepts of light field photography and outlines the processing steps and algorithms required to obtain a 3-D velocity field. To support this, a ray-tracing simulator is used to simulate light field images and rendering codes are generated to form 3-D particle volumes which can be used for particle image velocimetry (PIV) interrogation. The simulation and rendering code is tested with uniform displacement fields and a spherical vortex, and measurement errors are quantified. It is shown that light field imaging is a feasible method for performing 3-D velocimetry with a single camera, and steps are outlined for further development and testing.

[1]  M. Levoy,et al.  Recording and controlling the 4D light field in a microscope using microlens arrays , 2009, Journal of microscopy.

[2]  Edward H. Adelson,et al.  Single Lens Stereo with a Plenoptic Camera , 1992, IEEE Trans. Pattern Anal. Mach. Intell..

[3]  A. Gerrard,et al.  Introduction to Matrix Methods in Optics , 1975 .

[4]  Bernhard Wieneke,et al.  Tomographic particle image velocimetry , 2006 .

[5]  F. Clauser.  The Structure of Turbulent Shear Flow , 1957, Nature.

[6]  Fulvio Scarano,et al.  Advances in iterative multigrid PIV image processing , 2000 .

[7]  Christian J. Kähler,et al.  Scanning PIV investigation of the laminar separation bubble on a SD7003 airfoil , 2008 .

[8]  Lukas Ahrenberg,et al.  Light Field Rendering using Matrix Optics , 2006 .

[9]  Fulvio Scarano,et al.  Three-dimensional vorticity patterns of cylinder wakes , 2009 .

[10]  J. Sibarita.  Deconvolution microscopy. , 2005, Advances in biochemical engineering/biotechnology.

[11]  M. Gharib,et al.  Defocusing digital particle image velocimetry and the three-dimensional characterization of two-phase flows , 2002 .

[12]  A. Lumsdaine.  Full Resolution Lightfield Rendering , 2008 .

[13]  C. Brücker,et al.  3-D scanning-particle-image-velocimetry: Technique and application to a spherical cap wake flow , 1996 .

[14]  Tianshu Liu,et al.  Fluid flow and optical flow , 2008, Journal of Fluid Mechanics.

[15]  Markus Raffel,et al.  Particle Image Velocimetry: A Practical Guide , 2002 .

[16]  Mo Samimy,et al.  Review of Planar Multiple-Component Velocimetry in High-Speed Flows , 2000 .

[17]  Andrew Lumsdaine,et al.  The focused plenoptic camera , 2009, 2009 IEEE International Conference on Computational Photography (ICCP).

[18]  R. Adrian.  Twenty years of particle image velocimetry , 2005 .

[19]  C. Meneveau,et al.  Geometry and scale relationships in high Reynolds number turbulence determined from three-dimensional holographic velocimetry , 2000 .

[20]  Marc Levoy,et al.  Light Fields and Computational Imaging , 2006, Computer.

[21]  Alexandra H. Techet,et al.  Three-dimensional synthetic aperture particle image velocimetry , 2010 .

[22]  E. Adelson,et al.  The Plenoptic Function and the Elements of Early Vision , 1991 .

[23]  M. Koochesfahani,et al.  Molecular Tagging Velocimetry (MTV) measurements in gas phase flows , 1999 .

[24]  M. Wernet.  Digital Particle Image Velocimetry , 2003 .

[25]  John P. Crimaldi,et al.  Planar laser induced fluorescence in aqueous flows , 2008 .

[26]  Quantitative flow visualization: toward a comprehensive flow diagnostic tool. , 2002, Annals of the New York Academy of Sciences.

[27]  Carl D. Meinhart,et al.  Second-order accurate particle image velocimetry , 2001 .

[28]  Ye Pu,et al.  Holographic particle image velocimetry: from film to digital recording , 2004 .

[29]  L. Lourenço.  Particle Image Velocimetry , 1989 .

[30]  C. Brücker.  3D scanning PIV applied to an air flow in a motored engine using digital high-speed video , 1997 .

[31]  Ronald K. Hanson,et al.  Quantitative imaging of concentration by planar laser-induced fluorescence , 1990 .

[32]  Ren Ng.  Fourier slice photography , 2005, ACM Trans. Graph..

[33]  Dejiao Lin,et al.  Three-dimensional particle imaging by defocusing method with an annular aperture. , 2008, Optics letters.

[34]  Hui Hu,et al.  Molecular tagging velocimetry and thermometry and its application to the wake of a heated circular cylinder , 2006 .

[35]  A. Kolmogorov.  Dissipation of energy in the locally isotropic turbulence , 1941, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences.

[36]  Jaesung Park,et al.  Three-dimensional micro-PTV using deconvolution microscopy , 2006 .

[37]  J. Westerweel,et al.  The effect of a discrete window offset on the accuracy of cross-correlation analysis of digital PIV recordings , 1997 .

[38]  Gregory S Elliott,et al.  Molecular filter based planar Doppler velocimetry , 1999 .

[39]  Fulvio Scarano,et al.  Iterative multigrid approach in PIV image processing with discrete window offset , 1999 .

[40]  Michel Stanislas,et al.  Main results of the third international PIV Challenge , 2008 .

[41]  Raf Theunissen,et al.  Spatially adaptive PIV interrogation based on data ensemble , 2010 .

[42]  F. Scarano.  Iterative image deformation methods in PIV , 2002 .

[43]  Francisco Pereira,et al.  Defocusing digital particle image velocimetry: a 3-component 3-dimensional DPIV measurement technique. Application to bubbly flows , 2000 .

[44]  U Meier,et al.  Applications of planar laser induced fluorescence in turbulent reacting flows , 2000 .

[45]  Walter R. Lempert,et al.  Development of Megahertz-Rate Planar Doppler Velocimetry for High-Speed Flows , 2005 .

[46]  J. Westerweel,et al.  Universal outlier detection for PIV data , 2005 .

[47]  Fulvio Scarano,et al.  On the velocity of ghost particles and the bias errors in Tomographic-PIV , 2011 .

[48]  P. Hanrahan,et al.  Light Field Photography with a Hand-held Plenoptic Camera , 2005 .

[49]  Marc Levoy,et al.  High performance imaging using large camera arrays , 2005, ACM Trans. Graph..

[50]  Fulvio Scarano,et al.  Lagrangian and Eulerian pressure field evaluation of rod-airfoil flow from time-resolved tomographic PIV , 2011 .

[51]  Marc Levoy,et al.  Light field microscopy , 2006, ACM Trans. Graph..

[52]  Chintan Intwala,et al.  Light Field Camera Design for Integral View Photography , 2006 .

[53]  Joseph Katz,et al.  Using digital holographic microscopy for simultaneous measurements of 3D near wall velocity and wall shear stress in a turbulent boundary layer , 2008 .

[54]  Marc Levoy,et al.  Synthetic Aperture Focusing using a Shear-Warp Factorization of the Viewing Transform , 2005, 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05) - Workshops.

[55]  C. Willert,et al.  Three-dimensional particle imaging with a single camera , 1992 .

[56]  J. Conchello,et al.  Three-dimensional imaging by deconvolution microscopy. , 1999, Methods.

[57]  Holographic particle image velocimetry system for measurements of hairpin vortices in air channel flow , 2006 .

[58]  Marc Levoy,et al.  Light field rendering , 1996, SIGGRAPH.