Power laws and inverse motion modelling: application to turbulence measurements from satellite images
References
- Adrian
. Particle imaging techniques for experimental fluid mechanics. Annal. Rev. Fluid Mech. 1991; 23: 261– 304. - Baker
, S., Scharstein, D, Lewis, J. P, Roth, S, Black, M. Jand Szeliski, R. 2007. A database and evaluation methodology for optical flow . Computer Vision, 2007. ICCV 2007. IEEE 11th International Conference on. , vol., no., pp.1-8, 14-21 Oct. 2007. - Benzi
. Scardovelli. Intermittency of two-dimensional decaying turbulence. Europhys. Lett. 1995; 29: 371– 376. - Bergen
. Burt. Hingorani. Peleg. A 3-frame algorithm for estimating two-component image motion. IEEE Trans. Pattern Anal. Mach. Intell. 1992; 14( 9): 886– 895. - Berliner
. Wikle. Milliff. Multiresolution wavelet analyses in hierarchical Bayesian turbulence models. Bayesian inference in wavelet based models. Lect. Notes Statis. 1999; 141: 341– 349. - Bernard
. Boffetta. Celani. Falkovich. Conformal invariance in two-dimensional turbulence. Nature Physics. 2006; 2: 124– 128. - Boffetta
. Energy and enstrophy fluxes in the double cascade of two-dimensional turbulence. J. Fluid Mech. 2007; 589: 253– 260. - Carlier
, Jand Wieneke, B. 2005. Report 1 on production and diffusion of fluid mechanics images and data . Online at: Fluid project deliverable 1.2 . http://www.fluid.irisa.fr . - Charney
. Geostrophic turbulence. J. Atmos. Sci. 1971; 28: 1087– 1095. - Cho
. Lindborg. Horizontal velocity structure functions in the upper troposphere and lower stratosphere 1. observations. J. Geophys. Res. 2001; 106: 223– 232. - Corpetti
. Heas. Memin. Papadakis. Pressure image assimilation for atmospheric motion estimation. Tellus A: Dynamic Meteorology and Oceanography. 2009; 61: 160– 178. - Corpetti
. Mémin. Pérez. Dense estimation of fluid flows. Pattern Anal. Mach. Intel. 2002; 24( 3): 365– 380. - Dewan
. Saturated-cascade similitude theory of gravity wave spectra. J. Geophys. Res. 1997; 102: 799– 818. - Falkovich
. Gawȩdzki. Vergazzola. Particles and fields in fluid turbulence. Rev. Mod. Phys. 2001; 73: 913– 975. - Fitzpatrick
. The existence of geometrical density-image transformations corresponding to object motion. Comput. Vision, Graphics, Image Proc. 1988; 44( 2): 155– 174. - Frisch
. Turbulence: The Legacy of A.N. Kolmogorov. Cambridge, Cambridge University Press. 1995 - Gotoh
. Fukayama. Nakano. Velocity field statistics in homogeneous steady turbulence using a high-resolution direct numerical simulation. Physics of Fluids. 2002; 14: 1065– 1081. - Gull
, S. F. 1989. Developments in maximum-entropy data analysis . InJ. Skilling (ed.) . Kluwer Academic, Dordrecht. 53– 71. - Heas
. Memin. Three-dimensional motion estimation of atmospheric layers from image sequences. IEEE trans. on Geo. and Rem. Sensing. 2008; 46( 8): 2385– 2396. - Heas
, P, Memin, E, Heitz, Dand Mininni, P. 2009. Bayesian selection of scaling laws for motion modeling in images . In. Kyoto: Japan. - Heas
. Memin. Papadakis. Szantai. Layered estimation of atmospheric mesoscale dynamics from satellite imagery. IEEE trans. on Geo. and Rem. Sensing. 2007a; 45( 12): 4087– 4104. - Heas
. Memin. Papadakis. Szantai. Layered estimation of atmospheric mesoscale dynamics from satellite imagery. IEEE trans. on Geo. and Rem. Sensing. 2007b; 45( 12): 4087– 4104. - Heitz
, D, Carlier, Jand Arroyo, G. 2007. Final Report on the Evaluation of the Tasks of the Workpackage 2 . Technical report, Deliverable 5.4, Cemagref, Rennes, France. - Heitz
. Memin. Schnoerr. Variational fluid flow measurements from image sequences: synopsis and perspectives. Exp. Fluids. 2010; 48( 3): 369– 393. - Hoar
. Milliff. Nychka. Wikle. Berliner. Winds from a Bayesian hierarchical model: computation for atmosphere-ocean research. J. Comp. and Graph. Statis. 2003; 12( 4): 781– 807. - Horn
. Schunck. Determining optical flow. Artificial Intelligence. 1981; 17: 185– 203. - Jaynes
. Probability Theory: The Logic of Science. Cambridge, Cambridge University Press. 2003 - Kolmogorov
. The local structure of turbulence in inompressible viscous fluid for very large Reynolds number. Dolk. Akad. Nauk SSSR. 1941; 30: 301– 305. - Kraichnan
. Inertial ranges in two-dimensional turbulence. Phys. Fluids. 1967; 10: 1417– 1423. - Kurien
. L'vov. Procaccia. Sreenivasan. The scaling structure of the velocity statistics in atmospheric boundary layer. Phys. Rev. E (Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics). 2000; 61( 1): 407– 421. - Leese
. Novack. Clark. An automated technique for obtained cloud motion from geosynchronous satellite data using cross correlation. J. Appl. Met. 1971; 10: 118– 132. - Lindborg
. Can the atmospheric kinetic energy spectrum be explained by two-dimensional turbulence. J. Fluid Mech. 1999; 388: 259– 288. - Lindborg
. Horizontal wavenumber spectra of vertical vorticity and horizontal divergence in the upper troposphere and lower stratosphere. J. Atmos. Sci. 2007; 64( 3): 1017– 1025. - Lindborg
. Cho. Horizontal velocity structure functions in the upper troposphere and lower stratosphere 2 theoretical considerations. J. Geophys. Res. 2001; 106: 233– 241. - Liu
. Shen. Fluid flow and optical flow. J. Fluid Mech. 2008; 614: 253– 291. - Lucas
, B. Dand Kanade, T. 1981An iterative image registration technique with an application to stereo vision. In Proceedings of the 7th international joint conference on Artificial intelligence – Volume 2(IJCAI'81), Vol. 2. Morgan Kaufmann Publishers Inc., San Francisco, CA, USA . 674– 679. - MacKay
. Bayesian interpolation. Neural Computation. 1992; 4( 3): 415– 447. - MacKay
. Information Theory, Inference, and Learning Algorithms. Cambridge, Cambridge University Press. 2003 - Monin
. Yaglom. Statistical Fluid Mechanics: Mechanics of Turbulence. New York, MIT Press. 1975 - Nastrom
. Jasperson. Gage. Kinetic energy spectrum of large and mesoscale atmospheric processes. Nature. 1984; 310: 36– 38. - Nastrom
. Eaton. Turbulence eddy dissipation rates from radar observations at 5-20 km at White Sands Missile Range, New Mexico. J. Geophys. res. 1997; 102: 19495– 19506. - Nocedal
. Wright. Numerical Optimization. Springer Series in Operations Research, Springer-Verlag, New York, NY. 1999 - Papadakis
. Memin. Variational assimilation of fluid motion from image sequences. SIAM J. Imaging Sci. 2008; 1( 4): 343– 363. - Pedlosky
. Geophysical Fluid Dynamics. Springer, New York. 1987 - Robert
. The Bayesian Choice: From Decision-Theoretic Foundations to Computational Implementation. Springer. 2007; 577. - Skilling
, J. 1989. The eigenvalues of mega-dimensional matrices . Maximum Entropy and Bayesian Methods.Cambridge, England . 455– 466. - Taylor
. Kurien. Eyink. Recovering isotropic statistics in turbulence simulations: The kolmogorov 4/5th-law. Phys. rev. E. 2003; 2: 026310. - Tung
. The k 3 and k 5/3 energy spectrum of the atmospheric turbulence: quasi-geostrophic two level model simulation. J. Atmos. Sci. 2003; 60: 824– 835. - Weickert
, Jand Schnörr, C. 2004. A theoretical framework for convex regularizers in pde-based computation of image motion. Int. J. Comp. Vis.45(3) . 245– 264. - Wikle
. Milliff. Nychka. Berliner. Spatio-temporal hierarchical Bayesian modeling: tropical ocean surface winds. J. Amer. Statis. Assoc. 2001; 96: 382– 397. - Yuan
. Schnoerr. Memin. Discrete orthogonal decomposition and variational fluid flow estimation. J. Math. Imaging & Vision. 2007; 28: 67– 80.
DOI: https://doi.org/10.3402/tellusa.v64i0.10962 | Journal eISSN: 3035-9554
Language: English
Page range: 10962 - 10962
Submitted on: Nov 9, 2011
Accepted on: Sep 15, 2011
Published on: Dec 1, 2012
Published by: Stockholm University Press
In partnership with: Paradigm Publishing Services
Keywords:
© 2012 Patrick Héas, Etienne Mémin, Dominique Heitz, Pablo D. Mininni, published by Stockholm University Press
This work is licensed under the Creative Commons Attribution 4.0 License.