×

Fluid flow and optical flow. (English) Zbl 1155.76046

Summary: The connection between fluid flow and optical flow is explored in typical flow visualizations to provide a rational foundation for application of the optical flow method to image-based fluid velocity measurements. The projected-motion equations are derived, and the physics-based optical flow equation is given. In general, the optical flow is proportional to the path-averaged velocity of fluid or particles weighted with a relevant field quantity. The variational formulation and the corresponding Euler-Lagrange equation are given for optical flow computation. An error analysis for optical flow computation is provided, which is quantitatively examined by simulations on synthetic grid images. Direct comparisons between the optical flow method and the correlation-based method are made in simulations on synthetic particle images and experiments in a strongly excited turbulent jet.

MSC:

76M27 Visualization algorithms applied to problems in fluid mechanics
78A05 Geometric optics
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] DOI: 10.1007/BF00192228
[2] Tsai, IEEE J. Robot. Automat. RA-3 pp 323– (1987)
[3] DOI: 10.1017/S0022112090000738
[4] DOI: 10.1063/1.868970
[5] DOI: 10.2514/3.9770
[6] DOI: 10.1007/s11263-007-0037-0 · Zbl 05322187
[7] DOI: 10.1063/1.868969
[8] DOI: 10.1109/34.990137 · Zbl 05110836
[9] DOI: 10.1007/s00348-005-0951-2
[10] DOI: 10.1007/s00348-005-0048-y
[11] Settles, Schlieren and Shadowgraph Techniques (2001)
[12] Brennen, Fundamentals of Multiphase Flow (2005)
[13] DOI: 10.1007/s00348-004-0880-5
[14] DOI: 10.1007/BF01420984
[15] Raffel, Particle Image Velocimetry (1998)
[16] DOI: 10.1137/S0036139998340170 · Zbl 0942.35057
[17] DOI: 10.1007/s003480050222
[18] Adrian, Annu. Rev. Fluid Mech. 23 pp 261– (1991)
[19] Pomraning, The Equations of Radiation Hydrodynamics (1973)
[20] Modest, Radiative Heat Transfer (1993)
[21] DOI: 10.1109/TIP.2004.827235 · Zbl 05453157
[22] Mikhail, Introduction to Modern Photogrammetry (2001)
[23] McGlone, Non-Topographic Photogrammetry pp 37– (1989)
[24] DOI: 10.1007/BF00190953
[25] DOI: 10.2514/1.32219
[26] DOI: 10.2514/2.1079
[27] DOI: 10.2514/1.1960
[28] Koochesfahani, Molecule Tagging Velocimetry, Handbook of Experimental Fluid Dynamics (2007)
[29] DOI: 10.1016/0004-3702(81)90024-2
[30] DOI: 10.1109/TGRS.2007.906156
[31] DOI: 10.1109/34.927465 · Zbl 05111518
[32] Gruen, Calibration and Orientation of Cameras in Computer Vision (2001) · Zbl 0978.68132
[33] Goldstein, Fluid Mechanics Measurements (1996)
[34] DOI: 10.1017/S0022112096004077
[35] Fraser, Calibration and Orientation of Cameras in Computer Vision (2001)
[36] Faugeras, The Geometry of Multiple Images (2001) · Zbl 1002.68183
[37] DOI: 10.1007/s10851-007-0014-9 · Zbl 1478.65104
[38] Dracos, Appl. Mech. Rev. 51 pp 387– (1998)
[39] DOI: 10.1006/cviu.2000.0874 · Zbl 1010.68554
[40] DOI: 10.1063/1.858461
[41] DOI: 10.1023/A:1013614317973 · Zbl 0987.68600
[42] Tikhonov, Solutions of Ill-Posed Problems (1977) · Zbl 0354.65028
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.