메뉴 건너뛰기




Volumn 13, Issue 4, 2007, Pages 477-493

Complex data processing: Fast wavelet analysis on the sphere

Author keywords

Complex data; Cosmology; Sphere; Wavelet analysis

Indexed keywords


EID: 34547530117     PISSN: 10695869     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00041-006-6917-9     Document Type: Conference Paper
Times cited : (32)

References (31)
  • 2
  • 3
    • 0032388665 scopus 로고    scopus 로고
    • Wavelets on the n-sphere and related manifolds
    • Antoine, J.-P. and Vandergheynst, P. (1998). Wavelets on the n-sphere and related manifolds, J. Math. Phys. 39, 3987.
    • (1998) J. Math. Phys , vol.39 , pp. 3987
    • Antoine, J.-P.1    Vandergheynst, P.2
  • 5
    • 34547521310 scopus 로고    scopus 로고
    • Wavelets on the two-sphere and other conic sections
    • Antoine, J.-P. and Vandergheynst, P. (2007). Wavelets on the two-sphere and other conic sections, J. Fourier Anal. Appl. 13(4), 369-386.
    • (2007) J. Fourier Anal. Appl , vol.13 , Issue.4 , pp. 369-386
    • Antoine, J.-P.1    Vandergheynst, P.2
  • 6
    • 0142053792 scopus 로고    scopus 로고
    • First year Wilkinson Microwave Anisotropy Probe (WMAP) observations: Preliminary maps and basic results
    • Bennet, C. L., et al. (2003). First year Wilkinson Microwave Anisotropy Probe (WMAP) observations: Preliminary maps and basic results, Astrophys. J. Suppl. 148, 1.
    • (2003) Astrophys. J. Suppl , vol.148 , pp. 1
    • Bennet, C.L.1
  • 9
    • 1242308396 scopus 로고    scopus 로고
    • Demanet, L. and Vandergheynst, P. (2003). Gabor wavelets on the sphere in, Proc. SPIE Conference on Wavelets (Applications) in. Signal and Image Processing 5207, Unser, M. A., Aldroubi, A., and Laine, A. F., Eds., 208 Bellingham, SPIE.
    • Demanet, L. and Vandergheynst, P. (2003). Gabor wavelets on the sphere in, Proc. SPIE Conference on Wavelets (Applications) in. Signal and Image Processing 5207, Unser, M. A., Aldroubi, A., and Laine, A. F., Eds., 208 Bellingham, SPIE.
  • 10
    • 0000273884 scopus 로고
    • Computing Fourier transforms and convolutions on the 2-sphere
    • Driscoll, J. R. and Healy, D. M., Jr. (1994). Computing Fourier transforms and convolutions on the 2-sphere, Adv. in Appl. Math. 15, 202.
    • (1994) Adv. in Appl. Math , vol.15 , pp. 202
    • Driscoll, J.R.1    Healy Jr., D.M.2
  • 11
    • 0041851960 scopus 로고    scopus 로고
    • Spherical Wavelet Transform and its Discretization
    • Freeden, W. and Windheuser, U. (1996). Spherical Wavelet Transform and its Discretization, Adv. Comput. Math. 5, 51.
    • (1996) Adv. Comput. Math , vol.5 , pp. 51
    • Freeden, W.1    Windheuser, U.2
  • 14
    • 18444379197 scopus 로고    scopus 로고
    • HEALPix - a framework for high resolution discretization, and fast analysis of data distributed on the sphere
    • Górski, K. M., Hivon, E., Banday, A. J., Wandelt, B. D., Hansen, F. K., Reinecke, M., and Bartelman, M. (2005). HEALPix - a framework for high resolution discretization, and fast analysis of data distributed on the sphere, Astrophys. J. 622, 759.
    • (2005) Astrophys. J , vol.622 , pp. 759
    • Górski, K.M.1    Hivon, E.2    Banday, A.J.3    Wandelt, B.D.4    Hansen, F.K.5    Reinecke, M.6    Bartelman, M.7
  • 16
    • 4043150726 scopus 로고    scopus 로고
    • Towards safe and effective high-order Legendre transforms with applications to FFTs for the 2-sphere
    • Healy, D. M., Jr., Kostelec, P. J., and Rockmore, D. N. (2004). Towards safe and effective high-order Legendre transforms with applications to FFTs for the 2-sphere, Adv. in Comput. Math. 21, 59.
    • (2004) Adv. in Comput. Math , vol.21 , pp. 59
    • Healy Jr., D.M.1    Kostelec, P.J.2    Rockmore, D.N.3
  • 17
    • 0030504577 scopus 로고    scopus 로고
    • Continuous wavelet transforms on the sphere
    • Holschneider, M. (1996). Continuous wavelet transforms on the sphere, J. Math. Phys. 37, 8.
    • (1996) J. Math. Phys , vol.37 , pp. 8
    • Holschneider, M.1
  • 18
    • 12844285376 scopus 로고    scopus 로고
    • FFTs on the rotation group
    • technical report SFI-03-11-060
    • Kostelec, P. J. and Rockmore, D. N. (2003). FFTs on the rotation group, technical report (SFI-03-11-060).
    • (2003)
    • Kostelec, P.J.1    Rockmore, D.N.2
  • 19
    • 85009731502 scopus 로고    scopus 로고
    • Separation of variables and the computation of Fourier transforms on finite groups, I
    • Maslen, D. K. and Rockmore, D. N. (1997). Separation of variables and the computation of Fourier transforms on finite groups, I, J. Amer: Math. Soc. 10, 169.
    • (1997) J. Amer: Math. Soc , vol.10 , pp. 169
    • Maslen, D.K.1    Rockmore, D.N.2
  • 20
    • 34547522812 scopus 로고    scopus 로고
    • Maslen, D. K. and Rockmore, D. N. (1997). Generalized FFTs-a survey of some recent results in, Proc. DIMACS Workshop on Groups and Computation 28 Finkelstein, L. and Kantor, W., Eds., 183, American Math. Soc., Providence, RI.
    • Maslen, D. K. and Rockmore, D. N. (1997). Generalized FFTs-a survey of some recent results in, Proc. DIMACS Workshop on Groups and Computation 28 Finkelstein, L. and Kantor, W., Eds., 183, American Math. Soc., Providence, RI.
  • 21
    • 85127149966 scopus 로고    scopus 로고
    • McEwen, J. D., Hobson, M. P., Lasenby, A. N., and Mortlock, D. J. (2005). A. high-significance detection of non-Gaussianity in the WMAP 1-year data using directional spherical wavelets, Monthly Not. Roy. Astron. Soc. 359, 1583.
    • McEwen, J. D., Hobson, M. P., Lasenby, A. N., and Mortlock, D. J. (2005). A. high-significance detection of non-Gaussianity in the WMAP 1-year data using directional spherical wavelets, Monthly Not. Roy. Astron. Soc. 359, 1583.
  • 24
    • 34547506764 scopus 로고    scopus 로고
    • Planck scientific programme (ESA Planck Blue book), technical report, (ESA-SCI(2005)1
    • The Planck collaboration , astro-ph/0604069
    • The Planck collaboration (2005). Planck scientific programme (ESA Planck Blue book), technical report, (ESA-SCI(2005)1, astro-ph/0604069).
    • (2005)
  • 25
    • 0029730011 scopus 로고    scopus 로고
    • Fourier transform summation of Legendre series and D-functions
    • Risbo, T. (1996). Fourier transform summation of Legendre series and D-functions, J. Geodesy 70, 383.
    • (1996) J. Geodesy , vol.70 , pp. 383
    • Risbo, T.1
  • 28
    • 0034897006 scopus 로고    scopus 로고
    • Fast convolution on the sphere
    • Wandelt, B. D. and Górski, K. M. (2001). Fast convolution on the sphere, Phys. Rev. D 63, 123002.
    • (2001) Phys. Rev. D , vol.63 , pp. 123002
    • Wandelt, B.D.1    Górski, K.M.2
  • 29
    • 24044524016 scopus 로고    scopus 로고
    • Correspondence principle between spherical and Euclidean wavelets
    • Wiaux, Y., Jacques, L., and Vandergheynst, P. (2005). Correspondence principle between spherical and Euclidean wavelets, Astrophys. J. 632, 15.
    • (2005) Astrophys. J , vol.632 , pp. 15
    • Wiaux, Y.1    Jacques, L.2    Vandergheynst, P.3
  • 30
    • 33845311147 scopus 로고    scopus 로고
    • Fast directional correlation on the sphere with steerable filters
    • Wiaux, Y., Jacques, L., Vielva, P., and Vandergheynst, P. (2005). Fast directional correlation on the sphere with steerable filters, Astrophys. J. 652, 820.
    • (2005) Astrophys. J , vol.652 , pp. 820
    • Wiaux, Y.1    Jacques, L.2    Vielva, P.3    Vandergheynst, P.4
  • 31
    • 34548672571 scopus 로고    scopus 로고
    • Fast spin ±2 spherical harmonics transforms and application in cosmology
    • preprint astro-ph/0508514
    • Wiaux, Y., Jacques, L., and Vandergheynst, P. (2005). Fast spin ±2 spherical harmonics transforms and application in cosmology, preprint (astro-ph/0508514).
    • (2005)
    • Wiaux, Y.1    Jacques, L.2    Vandergheynst, P.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.