P. Kestener and A. Arneodo. Laboratoire de Physique Ecole Normale Supérieure de Lyon 46, allée d Italie Lyon cedex 07, FRANCE
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1 A wavelet-based generalization of the multifractal formalism from scalar to vector valued d- dimensional random fields : from theoretical concepts to experimental applications P. Kestener and A. Arneodo Laboratoire de Physique Ecole Normale Supérieure de Lyon 46, allée d Italie Lyon cedex 07, FRANCE
2 Report Documentation Page Form Approved OMB No Public reporting burden for the collection of information is estimated to average 1 hour per response, including the time for reviewing instructions, searching existing data sources, gathering and maintaining the data needed, and completing and reviewing the collection of information. Send comments regarding this burden estimate or any other aspect of this collection of information, including suggestions for reducing this burden, to Washington Headquarters Services, Directorate for Information Operations and Reports, 1215 Jefferson Davis Highway, Suite 1204, Arlington VA Respondents should be aware that notwithstanding any other provision of law, no person shall be subject to a penalty for failing to comply with a collection of information if it does not display a currently valid OMB control number. 1. REPORT DATE 07 JAN REPORT TYPE N/A 3. DATES COVERED - 4. TITLE AND SUBTITLE A wavelet-based generalization of the multifractal formalism from scalar to vector valued d-dimensional random fields : from theoretical concepts to experimental applications 5a. CONTRACT NUMBER 5b. GRANT NUMBER 5c. PROGRAM ELEMENT NUMBER 6. AUTHOR(S) 5d. PROJECT NUMBER 5e. TASK NUMBER 5f. WORK UNIT NUMBER 7. PERFORMING ORGANIZATION NAME(S) AND ADDRESS(ES) Laboratoire de PhysiqueEcole Normale Supérieure de Lyon46, allée ditalie69364 Lyon cedex 07, FRANCE 8. PERFORMING ORGANIZATION REPORT NUMBER 9. SPONSORING/MONITORING AGENCY NAME(S) AND ADDRESS(ES) 10. SPONSOR/MONITOR S ACRONYM(S) 12. DISTRIBUTION/AVAILABILITY STATEMENT Approved for public release, distribution unlimited 11. SPONSOR/MONITOR S REPORT NUMBER(S) 13. SUPPLEMENTARY NOTES See also ADM001750, Wavelets and Multifractal Analysis (WAMA) Workshop held on July 2004., The original document contains color images. 14. ABSTRACT 15. SUBJECT TERMS 16. SECURITY CLASSIFICATION OF: 17. LIMITATION OF ABSTRACT UU a. REPORT unclassified b. ABSTRACT unclassified c. THIS PAGE unclassified 18. NUMBER OF PAGES 41 19a. NAME OF RESPONSIBLE PERSON Standard Form 298 (Rev. 8-98) Prescribed by ANSI Std Z39-18
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42 References Generalizing the wavelet-based multifractal formalism to vector-valued random fields : application to turbulent velocity and vorticity 3D numerical data. P. KESTENER & A. ARNEODO, Phys. Rev. Lett. (2004), to appear A wavelet-based method for multifractal analysis of 3D random fields : application to turbulence simulation data. P. KESTENER & A. ARNEODO, in Proc. 4 th Pacific Symposium on Flow visualization and Image Processing, edited by J. Prenel and Y. Bailly (2004), to appear Three-dimensional wavelet-based multifractal method : the need for revisiting the multifractal description of turbulence dissipation data. P. KESTENER & A. ARNEODO, Phys. Rev. Lett. 91, (2003) A wavelet-based method for multifractal image analysis : from theoretical concepts to experimental applications. A. ARNEODO, N. DECOSTER, P. KESTENER & S.G. ROUX, Advances in Imaging and Electron Physics 126, 1 (2003) Wavelet-based multifractal formalism to assist in diagnosis in digitized mamograms. P. KESTENER, J.M. LINA, P. SAINT-JEAN & A. ARNEODO, Image Anal. Stereol. 20, 169 (2001) A wavelet-based method for multifractal image analysis. I. Methodology and test applications on isotropic rough surfaces. A. ARNEODO, N. DECOSTER & S.G. ROUX, Eur. Phys. J. B 15, 567 (2000) A wavelet-based method for multifractal image analysis. II. Application to synthetic multifractal rough surfaces. N. DECOSTER, S.G. ROUX & A. ARNEODO, Eur. Phys. J. B 15, 739 (2000) A wavelet-based method for multifractal image analysis. III. Application to high resolution satellite images of cloud structure. A. ARNEODO, S.G. ROUX & N. DECOSTER, Eur. Phys. J. B 15, 765 (2000) Intermittency, log-normal statistics and multifractal cascade process in high-resolution stallite images of cloud structure. A. ARNEODO, N. DECOSTER & S.G. ROUX, Phys. Rev. Lett. 83, 1255 (1999)
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