메뉴 건너뛰기




Volumn 13, Issue 4, 2007, Pages 369-386

Wavelets on the two-sphere and other conic sections

Author keywords

Conic sections; Continuous wavelet transform; Frames; Wavelets

Indexed keywords


EID: 34547521310     PISSN: 10695869     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00041-006-6013-0     Document Type: Conference Paper
Times cited : (21)

References (38)
  • 1
    • 0032388665 scopus 로고    scopus 로고
    • Wavelets on the n-sphere and other manifolds
    • Antoine, J-P. and Vandergheynst, P. (1998). Wavelets on the n-sphere and other manifolds, J. Math. Phys. 39, 3987-4008.
    • (1998) J. Math. Phys , vol.39 , pp. 3987-4008
    • Antoine, J.-P.1    Vandergheynst, P.2
  • 2
    • 0043242765 scopus 로고    scopus 로고
    • Wavelets on the 2-sphere: A group-theoretical approach
    • Antoine, J-P. and Vandergheynst, P. (1999). Wavelets on the 2-sphere: A group-theoretical approach, Appl. Comput. Harmon. Anal. 7, 262-291.
    • (1999) Appl. Comput. Harmon. Anal , vol.7 , pp. 262-291
    • Antoine, J.-P.1    Vandergheynst, P.2
  • 3
    • 1242294322 scopus 로고    scopus 로고
    • Antoine, J-P., Jacques, Demanet, L. and Vandergheynst, L. (2002). Wavelets on the sphere: Implementation and approximations, Appl. Comput. Harmon. Anal. 13, 177-200.
    • Antoine, J-P., Jacques, Demanet, L. and Vandergheynst, L. (2002). Wavelets on the sphere: Implementation and approximations, Appl. Comput. Harmon. Anal. 13, 177-200.
  • 7
    • 34547529514 scopus 로고    scopus 로고
    • Baldi, P., Kerkyacharian, G., Marinucci, D., and Picard, D. (2006). Asymptotics for spherical needlets, arXiv (math). ST/0606599, v 1, September.
    • Baldi, P., Kerkyacharian, G., Marinucci, D., and Picard, D. (2006). Asymptotics for spherical needlets, arXiv (math). ST/0606599, v 1, September.
  • 10
    • 79960912295 scopus 로고    scopus 로고
    • Multiscale image processing on the sphere
    • Bülow, T. (2002). Multiscale image processing on the sphere, in DAGM-Symposium, 609-617.
    • (2002) DAGM-Symposium , pp. 609-617
    • Bülow, T.1
  • 11
    • 84975982139 scopus 로고
    • Contractions of rotation groups and their representations
    • Dooley, A. H. and Rice, J. W. (1983). Contractions of rotation groups and their representations, Math. Proc. Camb. Phil. Soc. 94, 509-517.
    • (1983) Math. Proc. Camb. Phil. Soc , vol.94 , pp. 509-517
    • Dooley, A.H.1    Rice, J.W.2
  • 12
    • 0012898070 scopus 로고
    • On contractions of semisimple Lie groups
    • Dooley, A. H. and Rice, J. W. (1985). On contractions of semisimple Lie groups, Trans. Amer. Math. Soc. 289, 185-202.
    • (1985) Trans. Amer. Math. Soc , vol.289 , pp. 185-202
    • Dooley, A.H.1    Rice, J.W.2
  • 13
    • 0000273884 scopus 로고
    • Computing Fourier transforms and convolutions on the 2-sphere
    • Driscoll, J. R. and Healy, D. M. (1994). Computing Fourier transforms and convolutions on the 2-sphere, Adv. Appl. Math. 15, 202-250.
    • (1994) Adv. Appl. Math , vol.15 , pp. 202-250
    • Driscoll, J.R.1    Healy, D.M.2
  • 14
    • 21144475625 scopus 로고
    • Continuous wavelet decompositions, multiresolution, and contrast analysis
    • Duval-Destin, M., Muschietti, M-A., and Torrésani, B. (1993). Continuous wavelet decompositions, multiresolution, and contrast analysis, SIAM J. Math. Anal. 24, 739-755.
    • (1993) SIAM J. Math. Anal , vol.24 , pp. 739-755
    • Duval-Destin, M.1    Muschietti, M.-A.2    Torrésani, B.3
  • 15
    • 30244467469 scopus 로고    scopus 로고
    • Combined spherical harmonic and wavelet expansion- A future concept in Earth's gravitational determination
    • Freeden, W. and Windheuser, U. (1997). Combined spherical harmonic and wavelet expansion- A future concept in Earth's gravitational determination, Appl. Comput. Harmon. Anal. 4, 1-37.
    • (1997) Appl. Comput. Harmon. Anal , vol.4 , pp. 1-37
    • Freeden, W.1    Windheuser, U.2
  • 16
    • 33645475776 scopus 로고    scopus 로고
    • A survey on wavelet methods for (geo)applications
    • Freeden, W., Maier, T., and Zimmermann, S. (2003). A survey on wavelet methods for (geo)applications, Rev. Math. Complut. 16, 277-310.
    • (2003) Rev. Math. Complut , vol.16 , pp. 277-310
    • Freeden, W.1    Maier, T.2    Zimmermann, S.3
  • 19
    • 0030504577 scopus 로고    scopus 로고
    • Continuous wavelet transforms on the sphere
    • Holschneider, M. (1996). Continuous wavelet transforms on the sphere, J. Math. Phys. 37, 4156-4165.
    • (1996) J. Math. Phys , vol.37 , pp. 4156-4165
    • Holschneider, M.1
  • 20
    • 34547508642 scopus 로고    scopus 로고
    • Jacques, L. (2004). Ondelettes, repères et couronne solaire, Thèse de Doctorat, Univ. Cath. Louvain, Louvain-la-Neuve.
    • Jacques, L. (2004). Ondelettes, repères et couronne solaire, Thèse de Doctorat, Univ. Cath. Louvain, Louvain-la-Neuve.
  • 21
    • 33746341474 scopus 로고    scopus 로고
    • Wavelets on manifolds: An optimized construction
    • Kunoth, A. and Sahner, J. (2006). Wavelets on manifolds: An optimized construction, Math. Comput. 75(255), 1319-1349.
    • (2006) Math. Comput , vol.75 , Issue.255 , pp. 1319-1349
    • Kunoth, A.1    Sahner, J.2
  • 22
    • 28044444588 scopus 로고    scopus 로고
    • Non-Gaussianity due to possible residual foreground signals in Wilkinson Microwave Anistropy Probe first-year data using spherical wavelet approaches
    • Liu, X. and Zhang, S. N. (2005). Non-Gaussianity due to possible residual foreground signals in Wilkinson Microwave Anistropy Probe first-year data using spherical wavelet approaches, Astrophys. J. 633, 542-551.
    • (2005) Astrophys. J , vol.633 , pp. 542-551
    • Liu, X.1    Zhang, S.N.2
  • 27
    • 0002396866 scopus 로고    scopus 로고
    • Kernels of spherical harmonics and spherical frames
    • Fontanella, F, Jetter, K, and Laurent, P.J, Eds, World Scientific, Singapore
    • Potts, D., Steidl, G., and Tasche, M. (1996). Kernels of spherical harmonics and spherical frames, in Advanced Topics in Multivariate Approximation, Fontanella, F., Jetter, K., and Laurent, P.J., Eds., World Scientific, Singapore, 287-301.
    • (1996) Advanced Topics in Multivariate Approximation , pp. 287-301
    • Potts, D.1    Steidl, G.2    Tasche, M.3
  • 29
    • 27144542970 scopus 로고    scopus 로고
    • Locally supported rational spline wavelets on the sphere
    • Ro̧ca, D. (2005). Locally supported rational spline wavelets on the sphere, Math. Comput. 74(252), 1803-1829.
    • (2005) Math. Comput , vol.74 , Issue.252 , pp. 1803-1829
    • Ro̧ca, D.1
  • 30
    • 34547512183 scopus 로고    scopus 로고
    • Wavelet bases on the sphere obtained by radial projection
    • this
    • Roşca, D. (2007). Wavelet bases on the sphere obtained by radial projection, J. Fourier Anal. Appl, 13, this volume.
    • (2007) J. Fourier Anal. Appl , vol.13
    • Roşca, D.1
  • 33
    • 0000991564 scopus 로고    scopus 로고
    • Sur les représentations unitaires des groupes de Lorentz généralisés
    • Takahashi, R. (2005). Sur les représentations unitaires des groupes de Lorentz généralisés, Bull. Soc. Math. France 91, 289-433.
    • (2005) Bull. Soc. Math. France , vol.91 , pp. 289-433
    • Takahashi, R.1
  • 34
    • 0005209640 scopus 로고    scopus 로고
    • Position-frequency analysis for signals defined on spheres
    • Torrésani, B. (2005). Position-frequency analysis for signals defined on spheres, Signal Proc. 43, 341-346.
    • (2005) Signal Proc , vol.43 , pp. 341-346
    • Torrésani, B.1
  • 35
    • 0346510236 scopus 로고    scopus 로고
    • 1 -wavelets on the two-dimensional sphere
    • 1 -wavelets on the two-dimensional sphere, Appl. Comput. Harmon. Anal. 10, 1-26.
    • (2001) Appl. Comput. Harmon. Anal , vol.10 , pp. 1-26
    • Weinreich, I.1
  • 36
    • 24044524016 scopus 로고    scopus 로고
    • Correspondence principle between spherical and Euclidean wavelets
    • Wiaux, Y. and Jacques, L. (2005). Correspondence principle between spherical and Euclidean wavelets, Astrophys. J. 632, 15-28.
    • (2005) Astrophys. J , vol.632 , pp. 15-28
    • Wiaux, Y.1    Jacques, L.2
  • 37
    • 34547530117 scopus 로고    scopus 로고
    • Complex data processing: Fast wavelet analysis on the sphere
    • this
    • Wiaux, Y., McEwen, J. D., and Vielva, P. (2007). Complex data processing: Fast wavelet analysis on the sphere, J. Fourier Anal. Appl. 13, this volume.
    • (2007) J. Fourier Anal. Appl , vol.13
    • Wiaux, Y.1    McEwen, J.D.2    Vielva, P.3
  • 38
    • 34547495998 scopus 로고    scopus 로고
    • http://www.fyma.ucl.ac.be/projects/yawtb.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.