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Erschienen in: Experiments in Fluids 1/2015

01.01.2015 | Research Article

Optical flow for incompressible turbulence motion estimation

verfasst von: Xu Chen, Pascal Zillé, Liang Shao, Thomas Corpetti

Erschienen in: Experiments in Fluids | Ausgabe 1/2015

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Abstract

We propose in this paper a new formulation of optical flow dedicated to 2D incompressible turbulent flows. It consists in minimizing an objective function constituted by an observation term and a regularization one. The observation term is based on the transport equation of the passive scalar field. For non-fully resolved scalar images, we propose to use the mixed model in large eddy simulation to determine the interaction between large scales and unresolved ones. The regularization term is based on the continuity equation of 2D incompressible flows. Compared to prototypical method, this regularizer preserves more vortex structures by eliminating constraints over the vorticity field. The evaluation of the proposed formulation is done over synthetic and experimental images, and the improvements in term of estimation are discussed.

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Literatur
Zurück zum Zitat Adrian RJ (1991) Particle-imaging techniques for experimental fluid mechanics. Annu Rev Fluid Mech 23(1):261–304CrossRef Adrian RJ (1991) Particle-imaging techniques for experimental fluid mechanics. Annu Rev Fluid Mech 23(1):261–304CrossRef
Zurück zum Zitat Baker S, Scharstein D, Lewis J, Roth S, Black MJ, Szeliski R (2011) A database and evaluation methodology for optical flow. Int J Comput Vis 92(1):1–31CrossRef Baker S, Scharstein D, Lewis J, Roth S, Black MJ, Szeliski R (2011) A database and evaluation methodology for optical flow. Int J Comput Vis 92(1):1–31CrossRef
Zurück zum Zitat Bardina J, Ferziger J, Reynold W (1980) Improved subgrid-scale models for large-eddy simulation. In: American institute of aeronautics and astronautics, fluid and plasma dynamics conference, 13th, Snowmass, Colo., July 14–16, 1980, 10 p., vol 1 Bardina J, Ferziger J, Reynold W (1980) Improved subgrid-scale models for large-eddy simulation. In: American institute of aeronautics and astronautics, fluid and plasma dynamics conference, 13th, Snowmass, Colo., July 14–16, 1980, 10 p., vol 1
Zurück zum Zitat Bardina J, Ferziger J, Reynold W (1983) Improved turbulence models based on large eddy simulation of homogeneous, incompressible turbulent flows. Stanford Univ, Report 1 Bardina J, Ferziger J, Reynold W (1983) Improved turbulence models based on large eddy simulation of homogeneous, incompressible turbulent flows. Stanford Univ, Report 1
Zurück zum Zitat Barron JL, Fleet DJ, Beauchemin SS (1994) Performance of optical flow techniques. Int J Comput Vis 12(1):43–77CrossRef Barron JL, Fleet DJ, Beauchemin SS (1994) Performance of optical flow techniques. Int J Comput Vis 12(1):43–77CrossRef
Zurück zum Zitat Batchelor G et al (1959) Small-scale variation of convected quantities like temperature in turbulent fluid. J Fluid Mech 5(1):113–133CrossRefMATHMathSciNet Batchelor G et al (1959) Small-scale variation of convected quantities like temperature in turbulent fluid. J Fluid Mech 5(1):113–133CrossRefMATHMathSciNet
Zurück zum Zitat Becker F, Wieneke B, Petra S, Schroder A, Schnorr C (2012) Variational adaptive correlation method for flow estimation. Image Process IEEE Trans 21(6):3053–3065CrossRefMathSciNet Becker F, Wieneke B, Petra S, Schroder A, Schnorr C (2012) Variational adaptive correlation method for flow estimation. Image Process IEEE Trans 21(6):3053–3065CrossRefMathSciNet
Zurück zum Zitat Bergen JR, Burt PJ, Hingorani R, Peleg S (1992) A three-frame algorithm for estimating two-component image motion. IEEE Trans Pattern Anal Mach Intell 14(9):886–896CrossRef Bergen JR, Burt PJ, Hingorani R, Peleg S (1992) A three-frame algorithm for estimating two-component image motion. IEEE Trans Pattern Anal Mach Intell 14(9):886–896CrossRef
Zurück zum Zitat Bertoglio JP (1985) A stochastic subgrid model for sheared turbulence. In: macroscopic modelling of turbulent flows. Springer, Berlin, pp 100–119CrossRef Bertoglio JP (1985) A stochastic subgrid model for sheared turbulence. In: macroscopic modelling of turbulent flows. Springer, Berlin, pp 100–119CrossRef
Zurück zum Zitat Brox T, Bruhn A, Papenberg N, Weickert J (2004) High accuracy optical flow estimation based on a theory for warping. Springer, Berlin, pp 25–36 Brox T, Bruhn A, Papenberg N, Weickert J (2004) High accuracy optical flow estimation based on a theory for warping. Springer, Berlin, pp 25–36
Zurück zum Zitat Burt P (1988) Smart sensing within a pyramid vision machine. Proc IEEE 76(8):1006–1015CrossRef Burt P (1988) Smart sensing within a pyramid vision machine. Proc IEEE 76(8):1006–1015CrossRef
Zurück zum Zitat Carlier J, Wieneke B (2005) Report 1 on production and diffusion of fluid mechanics images and data. fluid project deliverable 1.2. European ProjectFluid image analisys and description(FLUID)-http://www fluid irisa fr 47 Carlier J, Wieneke B (2005) Report 1 on production and diffusion of fluid mechanics images and data. fluid project deliverable 1.2. European ProjectFluid image analisys and description(FLUID)-http://​www fluid irisa fr 47
Zurück zum Zitat Cassisa C, Simoëns S, Prinet V, Shao L (2011) Subgrid scale formulation of optical flow for the study of turbulent flow. Exp Fluids 51(6):1739–1754CrossRef Cassisa C, Simoëns S, Prinet V, Shao L (2011) Subgrid scale formulation of optical flow for the study of turbulent flow. Exp Fluids 51(6):1739–1754CrossRef
Zurück zum Zitat Corpetti T, Mémin É, Pérez P (2002) Dense estimation of fluid flows. Pattern Anal Mach Intell IEEE Trans 24(3):365–380CrossRef Corpetti T, Mémin É, Pérez P (2002) Dense estimation of fluid flows. Pattern Anal Mach Intell IEEE Trans 24(3):365–380CrossRef
Zurück zum Zitat Corpetti T, Heitz D, Arroyo G, Memin E, Santa-Cruz A (2006) Fluid experimental flow estimation based on an optical-flow scheme. Exp Fluids 40(1):80–97CrossRef Corpetti T, Heitz D, Arroyo G, Memin E, Santa-Cruz A (2006) Fluid experimental flow estimation based on an optical-flow scheme. Exp Fluids 40(1):80–97CrossRef
Zurück zum Zitat Deardorff JW (1970) A numerical study of three-dimensional turbulent channel flow at large reynolds numbers. J Fluid Mech 41(2):453–480CrossRefMATH Deardorff JW (1970) A numerical study of three-dimensional turbulent channel flow at large reynolds numbers. J Fluid Mech 41(2):453–480CrossRefMATH
Zurück zum Zitat Dérian P, Héas P, Herzet C, Mémin É (2012) Wavelet-based fluid motion estimation. In: scale space and variational methods in computer vision. Springer, Berlin, pp 737–748CrossRef Dérian P, Héas P, Herzet C, Mémin É (2012) Wavelet-based fluid motion estimation. In: scale space and variational methods in computer vision. Springer, Berlin, pp 737–748CrossRef
Zurück zum Zitat Deriche R (1993) Recursively implementating the Gaussian and its derivatives, Research report 1893, INRIA, France Deriche R (1993) Recursively implementating the Gaussian and its derivatives, Research report 1893, INRIA, France
Zurück zum Zitat Fleet D, Weiss Y (2006) Optical flow estimation. In: handbook of mathematical models in computer vision. Springer, Berlin, pp 237–257CrossRef Fleet D, Weiss Y (2006) Optical flow estimation. In: handbook of mathematical models in computer vision. Springer, Berlin, pp 237–257CrossRef
Zurück zum Zitat Guichard F, Rudin L (1996) Accurate estimation of discontinuous optical flow by minimizing divergence related functionals. In: image processing, 1996. Proceedings., international conference on, IEEE, vol 1, pp 497–500 Guichard F, Rudin L (1996) Accurate estimation of discontinuous optical flow by minimizing divergence related functionals. In: image processing, 1996. Proceedings., international conference on, IEEE, vol 1, pp 497–500
Zurück zum Zitat Héas P, Herzet C, Memin E, Heitz D, Mininni PD (2013) Bayesian estimation of turbulent motion. Pattern Anal Mach Intell 35(6):1343–1356CrossRef Héas P, Herzet C, Memin E, Heitz D, Mininni PD (2013) Bayesian estimation of turbulent motion. Pattern Anal Mach Intell 35(6):1343–1356CrossRef
Zurück zum Zitat Heitz D, Héas P, Mémin E, Carlier J (2008) Dynamic consistent correlation-variational approach for robust optical flow estimation. Exp Fluids 45(4):595–608CrossRef Heitz D, Héas P, Mémin E, Carlier J (2008) Dynamic consistent correlation-variational approach for robust optical flow estimation. Exp Fluids 45(4):595–608CrossRef
Zurück zum Zitat Heitz D, Mémin E, Schnörr C (2010) Variational fluid flow measurements from image sequences: synopsis and perspectives. Exp Fluids 48(3):369–393CrossRef Heitz D, Mémin E, Schnörr C (2010) Variational fluid flow measurements from image sequences: synopsis and perspectives. Exp Fluids 48(3):369–393CrossRef
Zurück zum Zitat Horn B, Schunck B (1981) Determining optical flow. Artif Intell 17(1):185–203CrossRef Horn B, Schunck B (1981) Determining optical flow. Artif Intell 17(1):185–203CrossRef
Zurück zum Zitat Jullien MC, Castiglione P, Tabeling P (2000) Experimental observation of Batchelor dispersion of passive tracers. Phys Rev Lett 85(17):3636CrossRef Jullien MC, Castiglione P, Tabeling P (2000) Experimental observation of Batchelor dispersion of passive tracers. Phys Rev Lett 85(17):3636CrossRef
Zurück zum Zitat Kadri-Harouna S, Dérian P, Héas P, Memin E (2013) Divergence-free wavelets and high order regularization. Int J Comput Vis 103(1):80–99CrossRefMATHMathSciNet Kadri-Harouna S, Dérian P, Héas P, Memin E (2013) Divergence-free wavelets and high order regularization. Int J Comput Vis 103(1):80–99CrossRefMATHMathSciNet
Zurück zum Zitat Kolmogorov AN (1941) The local structure of turbulence in incompressible viscous fluid for very large reynolds numbers. In: Dokl. Akad. Nauk SSSR, vol 30, pp 299–303 Kolmogorov AN (1941) The local structure of turbulence in incompressible viscous fluid for very large reynolds numbers. In: Dokl. Akad. Nauk SSSR, vol 30, pp 299–303
Zurück zum Zitat Mallat SG (1989) A theory for multiresolution signal decomposition: the wavelet representation. IEEE Trans Pattern Anal Mach Intell 11:674–693CrossRefMATH Mallat SG (1989) A theory for multiresolution signal decomposition: the wavelet representation. IEEE Trans Pattern Anal Mach Intell 11:674–693CrossRefMATH
Zurück zum Zitat Papadakis N, Mémin É (2008) Variational assimilation of fluid motion from image sequence. SIAM J Imaging Sci 1(4):343–363CrossRefMATH Papadakis N, Mémin É (2008) Variational assimilation of fluid motion from image sequence. SIAM J Imaging Sci 1(4):343–363CrossRefMATH
Zurück zum Zitat Paret J, Tabeling P (1998) Intermittency in the two-dimensional inverse cascade of energy: experimental observations. Phys Fluids 10:3126CrossRef Paret J, Tabeling P (1998) Intermittency in the two-dimensional inverse cascade of energy: experimental observations. Phys Fluids 10:3126CrossRef
Zurück zum Zitat Ruhnau P, Kohlberger T, Schnörr C, Nobach H (2005) Variational optical flow estimation for particle image velocimetry. Exp Fluids 38(1):21–32CrossRef Ruhnau P, Kohlberger T, Schnörr C, Nobach H (2005) Variational optical flow estimation for particle image velocimetry. Exp Fluids 38(1):21–32CrossRef
Zurück zum Zitat Sagaut P (2000) Large eddy simulation for incompressible flows, vol 3. Springer, Berlin Sagaut P (2000) Large eddy simulation for incompressible flows, vol 3. Springer, Berlin
Zurück zum Zitat Shao L, Sarkar S, Pantano C (1999) On the relationship between the mean flow and subgrid stresses in large eddy simulation of turbulent shear flows. Phys Fluids (1994-present) 11(5):1229–1248CrossRefMATH Shao L, Sarkar S, Pantano C (1999) On the relationship between the mean flow and subgrid stresses in large eddy simulation of turbulent shear flows. Phys Fluids (1994-present) 11(5):1229–1248CrossRefMATH
Zurück zum Zitat Smagorinsky J (1963) General circulation experiments with the primitive equations: I. The basic experiment*. Mon Weather Rev 91(3):99–164CrossRef Smagorinsky J (1963) General circulation experiments with the primitive equations: I. The basic experiment*. Mon Weather Rev 91(3):99–164CrossRef
Zurück zum Zitat Su LK, Dahm WJA (1996) Scalar imaging velocimetry measurements of the velocity gradient tensor field in turbulent flows. II. Experimental results. Phys Fluids 8(7):1883–1906CrossRef Su LK, Dahm WJA (1996) Scalar imaging velocimetry measurements of the velocity gradient tensor field in turbulent flows. II. Experimental results. Phys Fluids 8(7):1883–1906CrossRef
Zurück zum Zitat Yuan J, Schnörr C, Mémin E (2007) Discrete orthogonal decomposition and variational fluid flow estimation. J Math Imaging Vis 28(1):67–80CrossRef Yuan J, Schnörr C, Mémin E (2007) Discrete orthogonal decomposition and variational fluid flow estimation. J Math Imaging Vis 28(1):67–80CrossRef
Zurück zum Zitat Zille P, Corpetti T, Shao L, Xu C (2014) Observation models based on scale interactions for optical flow estimation. IEEE Trans Image Process 23(8):3281–3293CrossRefMathSciNet Zille P, Corpetti T, Shao L, Xu C (2014) Observation models based on scale interactions for optical flow estimation. IEEE Trans Image Process 23(8):3281–3293CrossRefMathSciNet
Metadaten
Titel
Optical flow for incompressible turbulence motion estimation
verfasst von
Xu Chen
Pascal Zillé
Liang Shao
Thomas Corpetti
Publikationsdatum
01.01.2015
Verlag
Springer Berlin Heidelberg
Erschienen in
Experiments in Fluids / Ausgabe 1/2015
Print ISSN: 0723-4864
Elektronische ISSN: 1432-1114
DOI
https://doi.org/10.1007/s00348-014-1874-6

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