Abstract
The measurement of fluid flows is an emerging field for optical flow computation. In a number of such applications, a tracer is visualized with modern digital cameras. Due to the projective nature of the imaging process, the tracer is integrated across a velocity profile. In this contribution, a novel technique is presented that explicitly models brightness changes due to this integration. Only through this modeling is an accurate estimation of the flow velocities feasible. Apart from an accurate measurement of the fluid flow, also the underlying velocity profile can be reconstructed. Applications from shear flow, microfluidics and a biological applications are presented.
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References
Corpetti, T., Etienne, M., Perez, P.: Dense estimation of fluid flows. IEEE PAMI 24(3) (March 2002)
Ruhnau, P., Kohlberger, T., Nobach, H., Schnörr, C.: Variational optical flow estimation for particle image velocimetry. Exp. in Fluids 38, 21–32 (2005)
Ruhnau, P., Schnörr, C.: Optical stokes flow: An imaging based control approach. Exp. in Fluids 42, 61–78 (2007)
Taylor, J.A., Yeung, E.S.: Imaging of hydrodynamic and electrokinetic flow profiles in capillaries. Anal. Chem. 65(20), 2928–2932 (1993)
Kundu, P.K.: Fluid Mechanics. Academic Press, London (1990)
Haußecker, H., Spies, H.: Motion. In: Jähne, B., Haußecker, H., Geißler, P. (eds.) Handbook of Computer Vision and Applications, vol. 2, Academic Press, London (1999)
Garbe, C.S., Roetmann, K., Beushausen, V., Jähne, B.: An optical flow mtv based technique for measuring microfluidic flow in the presence of diffusion and taylor dispersion. Exp. in Fluids (accepted, 2007)
Taylor, G.: Conditions under which dispersion of a solute in a stream of solvent can be used to measure molecular diffusion. Proc. Royal Soc. London Ser. A 225, 473–477 (1954)
Negahdaripour, S., Yu, C.H.: A generalized brightness chane model for computing optical flow. In: ICCV, Berlin, pp. 2–7 (1993)
Zhang, D., Herbert, M.: Harmonic maps and their applications in surface matching. In: CVPR 1999, June 1999, Fort Collins, Colorado (1999)
Haußecker, H., Garbe, C., Spies, H., Jähne, B.: A total least squares framework for low-level analysis of dynamic scenes and processes. In: DAGM, Bonn, Germany, pp. 240–249. Springer, Heidelberg (1999)
Haußecker, H., Fleet, D.J.: Computing optical flow with physical models of brightness variation. IEEE PAMI 23(6), 661–673 (2001)
Bigün, J., Granlund, G.H., Wiklund, J.: Multidimensional orientation estimation with application to texture analysis and optical flow. IEEE PAMI 13(8), 775–790 (1991)
Garbe, C.S., Spies, H., Jähne, B.: Estimation of surface flow and net heat flux from infrared image sequences. J. of Math. Im. and Vis. 19(3), 159–174 (2003)
Garbe, C.S., Jähne, B.: Reliable estimates of the sea surface heat flux from image sequences. In: Radig, B., Florczyk, S. (eds.) Pattern Recognition. LNCS, vol. 2191, pp. 194–201. Springer, Heidelberg (2001)
Garbe, C.S., Spies, H., Jähne, B.: Mixed ols-tls for the estimation of dynamic processes with a linear source term. In: Van Gool, L. (ed.) Pattern Recognition. LNCS, vol. 2449, pp. 463–471. Springer, Heidelberg (2002)
Van Huffel, S., Vandewalle, J.: The Total Least Squares Problem: Computational Aspects and Analysis. In: SIAM, Philadelphia (1991)
Roetmann, K., Schmunk, W., Garbe, C.S., Beushausen, V.: Micro-flow analysis by molecular tagging velocimetry and planar raman-scattering. Exp. in Fluids (accepted, 2007)
Garbe, C.S., Degreif, K., Jähne, B.: Estimating the viscous shear stress at the water surface from active thermography. In: Garbe, C.S., Handler, R.A., Jähne, B. (eds.) Transport at the Air Sea Interface, pp. 223–239 (2007)
Garbe, C.S., Pieruschka, R., Schurr, U.: Thermographic measurements of xylem flow in plant leaves. New Phytologist (in preparation, 2007)
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Garbe, C.S. (2007). Fluid Flow Estimation Through Integration of Physical Flow Configurations. In: Hamprecht, F.A., Schnörr, C., Jähne, B. (eds) Pattern Recognition. DAGM 2007. Lecture Notes in Computer Science, vol 4713. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74936-3_10
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DOI: https://doi.org/10.1007/978-3-540-74936-3_10
Publisher Name: Springer, Berlin, Heidelberg
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