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Volumn 14, Issue , 2002, Pages 56-78

On multiscale denoising of spherical functions: Basic theory and numerical aspects

Author keywords

Hard and soft thresholding; Pyramid scheme; Scalar multiscale approximation; Spectral and multiscale variance covariance model; Spherical wavelet theory

Indexed keywords


EID: 3042631346     PISSN: 10689613     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (18)

References (15)
  • 1
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    • Small-scale features in the earth's magnetic field observed by MAGSAT
    • C.J. CAIN, D.R. SCHMITZ, AND L. MUTH, Small-scale features in the earth's magnetic field observed by MAGSAT. Journal of Geophysical Research, Vol. 89, NO. B2 (1984), pp. 1070-1076.
    • (1984) Journal of Geophysical Research , vol.89 , Issue.B2 , pp. 1070-1076
    • Cain, C.J.1    Schmitz, D.R.2    Muth, L.3
  • 2
    • 0041958932 scopus 로고
    • Ideal spatial adaptation by wavelet shrinkage
    • D.L. DONOHO AND I.M. JOHNSTONE, Ideal spatial adaptation by wavelet shrinkage. Biometrika, 81 (1994), pp. 425-455.
    • (1994) Biometrika , vol.81 , pp. 425-455
    • Donoho, D.L.1    Johnstone, I.M.2
  • 3
    • 84950459514 scopus 로고
    • Adapting to unknown smoothness via wavelet shrinkage
    • , Adapting to unknown smoothness via wavelet shrinkage, J. Amer. Statistical Association, 90 (1995), pp. 1200-1224.
    • (1995) J. Amer. Statistical Association , vol.90 , pp. 1200-1224
  • 4
    • 0000273884 scopus 로고
    • Computing Fourier transforms and convolutions on the 2-sphere
    • J.R. DRISCOLL AND D.M. HEALY, Computing Fourier transforms and convolutions on the 2-sphere. Adv. Appl. Math., 15 (1994), pp. 202-250.
    • (1994) Adv. Appl. Math. , vol.15 , pp. 202-250
    • Driscoll, J.R.1    Healy, D.M.2
  • 7
    • 3042663358 scopus 로고    scopus 로고
    • On the multiscale solution of satellite problems by use of locally supported kernel functions corresponding to equidistributed data on spherical orbits
    • Laboratory of Technomathematics, Geomathematics Group, University of Kaiserslautern
    • W. FREEDEN AND K. HESSE, On the multiscale solution of satellite problems by use of locally supported kernel functions corresponding to equidistributed data on spherical orbits. AGTM-Report 233, Laboratory of Technomathematics, Geomathematics Group, University of Kaiserslautern, 2000.
    • (2000) AGTM-Report 233
    • Freeden, W.1    Hesse, K.2
  • 8
    • 0033427780 scopus 로고    scopus 로고
    • Constructive approximation and numerical methods in geodetic research today - An attempt at a categorization based on an uncertainty principle
    • W. FREEDEN, V. MICHEL, Constructive Approximation and Numerical Methods in Geodetic Research Today - an Attempt at a Categorization Based on an Uncertainty Principle, J. of Geodesy, 73 (1999), pp.452-465.
    • (1999) J. of Geodesy , vol.73 , pp. 452-465
    • Freeden, W.1    Michel, V.2
  • 9
    • 0035047194 scopus 로고    scopus 로고
    • Multiscale signal-to-noise thresholding
    • W. FREEDEN, V. MICHEL, AND M. STENGER, Multiscale signal-to-noise thresholding, Acta Geod. Geoph. Hung., Vol 36(1) (2001), pp. 55-86.
    • (2001) Acta Geod. Geoph. Hung. , vol.36 , Issue.1 , pp. 55-86
    • Freeden, W.1    Michel, V.2    Stenger, M.3
  • 12
    • 0003360039 scopus 로고
    • Spherical harmonics
    • Springer, Berlin, Heidelberg
    • C. MÚLLER, Spherical Harmonics. Lecture Notes in Mathematics 17, Springer, Berlin, Heidelberg, 1966.
    • (1966) Lecture Notes in Mathematics , vol.17
    • Múller, C.1
  • 14
    • 0001652826 scopus 로고    scopus 로고
    • Spherical spectral properties of the earth's gravitational potential and its first and second derivatives
    • R. RUMMEL, Spherical Spectral Properties of the Earth's Gravitational Potential and its First and Second Derivatives, Lecture Notes in Earth Sciences, 65 (1997), pp. 359-404.
    • (1997) Lecture Notes in Earth Sciences , vol.65 , pp. 359-404
    • Rummel, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.