메뉴 건너뛰기




Volumn 14, Issue 3, 2007, Pages 293-303

Multifractal imaging filtering and decomposition methods in space, Fourier frequency, and eigen domains

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; DECOMPOSITION ANALYSIS; EIGENVALUE; FOURIER TRANSFORM; FRACTAL ANALYSIS; GEOPHYSICAL METHOD; IMAGING METHOD; ORE MINERAL; SPHALERITE;

EID: 34250852905     PISSN: 10235809     EISSN: 16077946     Source Type: Journal    
DOI: 10.5194/npg-14-293-2007     Document Type: Article
Times cited : (67)

References (39)
  • 1
    • 0029500633 scopus 로고
    • Multifractal modeling of the sizes and grades of giant and supergiant deposits
    • Agterberg, F. P.: Multifractal modeling of the sizes and grades of giant and supergiant deposits, Int. Geology Rev., 37, 1-8, 1995.
    • (1995) Int. Geology Rev , vol.37 , pp. 1-8
    • Agterberg, F.P.1
  • 2
    • 84902489797 scopus 로고    scopus 로고
    • Application of a three-parameter version of the model of de Wijs in regional geochemistry
    • edited by: Cheng, Q. and Bonham-Carter, G. F, China Univ. Geosc, Wuhan
    • Agterberg, F. P.: Application of a three-parameter version of the model of de Wijs in regional geochemistry, in: GIS and Spatial Analysis, edited by: Cheng, Q. and Bonham-Carter, G. F., 291-296, China Univ. Geosc., Wuhan, 2005.
    • (2005) GIS and Spatial Analysis , pp. 291-296
    • Agterberg, F.P.1
  • 3
    • 34248597573 scopus 로고    scopus 로고
    • New applications of the model of de Wijs in regional geochemistry
    • Agterberg, F. P.: New applications of the model of de Wijs in regional geochemistry, Math. Geology, 31, 1-25, 2007.
    • (2007) Math. Geology , vol.31 , pp. 1-25
    • Agterberg, F.P.1
  • 4
    • 0000192965 scopus 로고
    • Hausdorff dimension and uniformity of strange attractors
    • Badii, R. and Politi, A.: Hausdorff dimension and uniformity of strange attractors, Phys. Rev. Lett., 52, 1661-1664, 1984.
    • (1984) Phys. Rev. Lett , vol.52 , pp. 1661-1664
    • Badii, R.1    Politi, A.2
  • 5
    • 0001463465 scopus 로고
    • Statistical description of chaotic attractors: The dimension function
    • Badii, R. and Politi, A.: Statistical description of chaotic attractors: The dimension function, J. Statist. Phys., 40, 725-750, 1985.
    • (1985) J. Statist. Phys , vol.40 , pp. 725-750
    • Badii, R.1    Politi, A.2
  • 6
    • 34250800704 scopus 로고    scopus 로고
    • A tentative integrated model of scale invariant generator technique (SIG) and spectrum-area (S-A) technique
    • edited by: Cheng, Q. and Bonham-Cater, G, International Association for Mathematical Geology, China University of Geosciences Printing House, Wuhan
    • Chao, L. and Cheng, Q.: A tentative integrated model of scale invariant generator technique (SIG) and spectrum-area (S-A) technique, in: Proceedings of IAMG'05: GIS and Spatial Analysis, edited by: Cheng, Q. and Bonham-Cater, G., International Association for Mathematical Geology, China University of Geosciences Printing House, Wuhan, 1, 303-309, 2005.
    • (2005) Proceedings of IAMG'05: GIS and Spatial Analysis , vol.1 , pp. 303-309
    • Chao, L.1    Cheng, Q.2
  • 7
    • 0030874470 scopus 로고    scopus 로고
    • Discrete multifractals
    • Cheng, Q.: Discrete multifractals, Math. Geology, 29(2), 245-266, 1997.
    • (1997) Math. Geology , vol.29 , Issue.2 , pp. 245-266
    • Cheng, Q.1
  • 8
    • 0033379239 scopus 로고    scopus 로고
    • The gliding box method for multifractal modeling
    • Cheng, Q.: The gliding box method for multifractal modeling, Comput. Geosci., 25(10), 1073-1079, 1999a.
    • (1999) Comput. Geosci , vol.25 , Issue.10 , pp. 1073-1079
    • Cheng, Q.1
  • 9
    • 0033370873 scopus 로고    scopus 로고
    • Multifractality and spatial statistics
    • Cheng, Q.: Multifractality and spatial statistics, Comput. Geosci., 25(10), 949-961, 1999b.
    • (1999) Comput. Geosci , vol.25 , Issue.10 , pp. 949-961
    • Cheng, Q.1
  • 10
    • 12344334295 scopus 로고    scopus 로고
    • GeoData Analysis System (GeoDAS) for mineral Exploration: User's Guide and Exercise Manual
    • at York University, Toronto, Canada, 1, 3, 204 pp
    • Cheng, Q.: GeoData Analysis System (GeoDAS) for mineral Exploration: User's Guide and Exercise Manual. Material for the training workshop on GeoDAS held at York University, Toronto, Canada, 1, 3, 204 pp., http://www.gisworld. org/geodas, 2000.
    • (2000) Material for the training workshop on GeoDAS held
    • Cheng, Q.1
  • 11
    • 85039204528 scopus 로고    scopus 로고
    • Cheng, Q.: Selection of multifractal scaling breaks and separation of geochemical and geophysical anomaly, Earth Sci. - a Journal of China University of Geosciences, 12(1), 54-59, 2001a.
    • Cheng, Q.: Selection of multifractal scaling breaks and separation of geochemical and geophysical anomaly, Earth Sci. - a Journal of China University of Geosciences, 12(1), 54-59, 2001a.
  • 12
    • 79551547907 scopus 로고    scopus 로고
    • The decomposition of geochemical map patterns on the basis of their scaling properties in order to separate anomalies from background
    • held in Seoul on 22-29 August, 4
    • Cheng, Q.: The decomposition of geochemical map patterns on the basis of their scaling properties in order to separate anomalies from background, in: Proceedings of the International Statistical Institute held in Seoul on 22-29 August, 4 pages, 2001b.
    • (2001) Proceedings of the International Statistical Institute
    • Cheng, Q.1
  • 13
    • 3042841955 scopus 로고    scopus 로고
    • A new model for quantifying anisotropic scale invariance and for decomposition of mixing patterns
    • Cheng, Q.: A new model for quantifying anisotropic scale invariance and for decomposition of mixing patterns, Math. Geology, 36(3), 345-360, 2004.
    • (2004) Math. Geology , vol.36 , Issue.3 , pp. 345-360
    • Cheng, Q.1
  • 14
    • 33645634158 scopus 로고    scopus 로고
    • Multifractal modeling of eigenvalues and eigenvectors of 2-D maps
    • Cheng, Q.: Multifractal modeling of eigenvalues and eigenvectors of 2-D maps, Math. Geology, 37(8), 915-927, 2005.
    • (2005) Math. Geology , vol.37 , Issue.8 , pp. 915-927
    • Cheng, Q.1
  • 15
    • 33750598196 scopus 로고    scopus 로고
    • Multifractal modelling and spectrum analysis of gamma ray spectrometer data from southwestern Nova Scotia, Canada
    • Cheng, Q.: Multifractal modelling and spectrum analysis of gamma ray spectrometer data from southwestern Nova Scotia, Canada, Science in China, 49(3), 283-294, 2006.
    • (2006) Science in China , vol.49 , Issue.3 , pp. 283-294
    • Cheng, Q.1
  • 16
    • 0028599868 scopus 로고
    • The separation of geochemical anomalies from background by fractal methods
    • Cheng, Q., Agterberg, F. P., and Ballantyne, S. B.: The separation of geochemical anomalies from background by fractal methods, J. Geochem. Explor., 51(2), 109-130, 1994.
    • (1994) J. Geochem. Explor , vol.51 , Issue.2 , pp. 109-130
    • Cheng, Q.1    Agterberg, F.P.2    Ballantyne, S.B.3
  • 17
    • 85039204411 scopus 로고    scopus 로고
    • Cheng, Q., Xu, Y., and Grunsky, E.: Integrated spatial and spectrum analysis for geochemical anomaly separation, in: Proc. Int. Assoc Mathematical Geology Meeting, edited by: Lippard, J. L., Naess, A., and Sinding-Larsen, R., Trondheim, Norway I, p. 87-92, 1999.
    • Cheng, Q., Xu, Y., and Grunsky, E.: Integrated spatial and spectrum analysis for geochemical anomaly separation, in: Proc. Int. Assoc Mathematical Geology Meeting, edited by: Lippard, J. L., Naess, A., and Sinding-Larsen, R., Trondheim, Norway I, p. 87-92, 1999.
  • 18
    • 0001775972 scopus 로고    scopus 로고
    • Multifractal power spectrum-area method for geochemical anomaly separation
    • Cheng, Q., Xu, Y., and Grunsky, E.: Multifractal power spectrum-area method for geochemical anomaly separation, Nat. Resour. Res., 9(1), 43-51, 2001.
    • (2001) Nat. Resour. Res , vol.9 , Issue.1 , pp. 43-51
    • Cheng, Q.1    Xu, Y.2    Grunsky, E.3
  • 19
    • 0001676028 scopus 로고
    • Negative dimensions: Theory, computation and experiment
    • Chhabra, A. B. and Sreenivasan, K. R.: Negative dimensions: theory, computation and experiment, Phys. Rev. A, 43(2), 1114-1117, 1991.
    • (1991) Phys. Rev. A , vol.43 , Issue.2 , pp. 1114-1117
    • Chhabra, A.B.1    Sreenivasan, K.R.2
  • 20
    • 0002554107 scopus 로고
    • Multifrtactal measures
    • edited by: Peitgen, H.-O, Jürgens, H, and Saupe, D, Springer-Verlag, New York, pp
    • Evertsz, C. J. G. and Mandelbrot, B. B.: Multifrtactal measures, in: Chaos and Fractals, edited by: Peitgen, H.-O., Jürgens, H., and Saupe, D., Springer-Verlag, New York, pp. 922-953, 1992.
    • (1992) Chaos and Fractals , pp. 922-953
    • Evertsz, C.J.G.1    Mandelbrot, B.B.2
  • 21
    • 0003586464 scopus 로고
    • Plenum Press, New York, 283 pp
    • Feder, J.: Fractals, Plenum Press, New York, 283 pp, 1988.
    • (1988) Fractals
    • Feder, J.1
  • 22
    • 0001816154 scopus 로고
    • On the singularity structure of fully developed turbulence
    • edited by: Ghil, M, Benzi, R, and Parisi, G, North-Holland, New York, pp
    • Frisch, U. and Parisi, G.: On the singularity structure of fully developed turbulence, in: Turbulence and Predictability in Geophysical Fluid Dynamics and Climate Dynamics, edited by: Ghil, M., Benzi, R., and Parisi, G., North-Holland, New York, pp. 84-88, 1985.
    • (1985) Turbulence and Predictability in Geophysical Fluid Dynamics and Climate Dynamics , pp. 84-88
    • Frisch, U.1    Parisi, G.2
  • 23
    • 48749149528 scopus 로고
    • Generalized dimensions of strange attractors
    • Grassberger, P.: Generalized dimensions of strange attractors, Phys. Lett. A, 97, 227-230, 1983.
    • (1983) Phys. Lett. A , vol.97 , pp. 227-230
    • Grassberger, P.1
  • 24
    • 3342916075 scopus 로고
    • Fractal measures and their singularities: The characterization of strange sets
    • Halsey, T. C., Jensen, M. H., Kadanoff, L. P., Procaccia, I., and Shraiman, B. I.: Fractal measures and their singularities: the characterization of strange sets, Phys. Rev. A, 33(2), 1141-1151, 1986.
    • (1986) Phys. Rev. A , vol.33 , Issue.2 , pp. 1141-1151
    • Halsey, T.C.1    Jensen, M.H.2    Kadanoff, L.P.3    Procaccia, I.4    Shraiman, B.I.5
  • 25
    • 0346372923 scopus 로고
    • The infinite number of generalized dimensions of fractals and strange attractors
    • Hentschel, H. G. E. and Procaccia, I.: The infinite number of generalized dimensions of fractals and strange attractors, Physica, 8, 435-444, 1983.
    • (1983) Physica , vol.8 , pp. 435-444
    • Hentschel, H.G.E.1    Procaccia, I.2
  • 26
    • 0033384182 scopus 로고    scopus 로고
    • The scale invariant generator technique for quantifying anisotropic scale invariance
    • Lewis, G. M., Lovejoy, S., Schertzer, D., and Pecknold, S.: The scale invariant generator technique for quantifying anisotropic scale invariance, Comput. Geosci., 25, 963-978, 1999.
    • (1999) Comput. Geosci , vol.25 , pp. 963-978
    • Lewis, G.M.1    Lovejoy, S.2    Schertzer, D.3    Pecknold, S.4
  • 28
    • 85039220033 scopus 로고    scopus 로고
    • Li, Q. and Cheng, Q.: Fractal singular-value (eigen-value) decomposition method for geophysical and geochemical anomaly reconstruction, Earth Sci. - a Journal of China University of Geosciences, 29(1), 109-118 (in Chinese with English Abstract), 2004.
    • Li, Q. and Cheng, Q.: Fractal singular-value (eigen-value) decomposition method for geophysical and geochemical anomaly reconstruction, Earth Sci. - a Journal of China University of Geosciences, 29(1), 109-118 (in Chinese with English Abstract), 2004.
  • 29
    • 0030322409 scopus 로고    scopus 로고
    • The 1993 Mississippi river flood: A one hundred or a one thousand year event?
    • Malamud, B. D., Turcotte, D. L., and Barton, C. C.: The 1993 Mississippi river flood: a one hundred or a one thousand year event?, Environ. Eng. Geosci., II, 479-486, 1996.
    • (1996) Environ. Eng. Geosci , vol.2 , pp. 479-486
    • Malamud, B.D.1    Turcotte, D.L.2    Barton, C.C.3
  • 31
    • 0008354399 scopus 로고
    • Possible refinement of the lognormal hypothesis concerning the distribution of energy dissipation in intermittent turbulence
    • Statistical Models and Turbulence, edited by: Rosenblatt, M. and Van Atta, C, Springer, New York, pp
    • Mandelbrot, B. B.: Possible refinement of the lognormal hypothesis concerning the distribution of energy dissipation in intermittent turbulence, in: Statistical Models and Turbulence, Lecture Notes in Physics 12, edited by: Rosenblatt, M. and Van Atta, C., Springer, New York, pp. 333-351, 1972.
    • (1972) Lecture Notes in Physics , vol.12 , pp. 333-351
    • Mandelbrot, B.B.1
  • 32
    • 0015969022 scopus 로고
    • Intermittent turbulence in self-similar cascades: Divergence of high moments and dimension of the carrier
    • Mandelbrot, B. B.: Intermittent turbulence in self-similar cascades: Divergence of high moments and dimension of the carrier, J. Fluid Mech., 62, 331-358, 1974.
    • (1974) J. Fluid Mech , vol.62 , pp. 331-358
    • Mandelbrot, B.B.1
  • 33
    • 45949115280 scopus 로고
    • Anomalous scaling laws in multifractal objects
    • Paladin, G. and Vulpiani, A.: Anomalous scaling laws in multifractal objects, Physical Reports, 156(4), 147-225, 1987.
    • (1987) Physical Reports , vol.156 , Issue.4 , pp. 147-225
    • Paladin, G.1    Vulpiani, A.2
  • 34
    • 0023483807 scopus 로고
    • Physical modeling and analysis of rain and clouds by anisotropic scaling of multiplicative processes
    • Schertzer, D. and Lovejoy, S.: Physical modeling and analysis of rain and clouds by anisotropic scaling of multiplicative processes, J. Geophys. Res., 92, 9693-9714, 1987.
    • (1987) J. Geophys. Res , vol.92 , pp. 9693-9714
    • Schertzer, D.1    Lovejoy, S.2
  • 35
    • 0003796640 scopus 로고
    • Schertzer, D. and Lovejoy, S, Eds, Kluwer Academic Publ, Dordrecht, The Netherlands, 318 pp
    • Schertzer, D. and Lovejoy, S. (Eds.): Nonlinear Variability in Geophysics, Kluwer Academic Publ., Dordrecht, The Netherlands, 318 pp, 1991.
    • (1991) Nonlinear Variability in Geophysics
  • 38
    • 0037004051 scopus 로고    scopus 로고
    • Multifractality of rainfall and scaling of intensity-duration-frequency curves
    • Veneziano, D.: Multifractality of rainfall and scaling of intensity-duration-frequency curves, Water Resour. Res., 38, 1-12, 2002.
    • (2002) Water Resour. Res , vol.38 , pp. 1-12
    • Veneziano, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.