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Volumn 349, Issue 5, 2012, Pages 1648-1664

Definability and stability of multiscale decompositions for manifold-valued data

Author keywords

[No Author keywords available]

Indexed keywords

A-STABILITY; BIORTHOGONAL WAVELET; DEFINABILITY; MULTI-SCALE DECOMPOSITION; MULTISCALE REPRESENTATIONS; PERFECT RECONSTRUCTION; UPSCALING;

EID: 84860307687     PISSN: 00160032     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jfranklin.2011.02.010     Document Type: Article
Times cited : (17)

References (12)
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    • L.L. Schumaker, G. Webb, Academic Press Boston, MA
    • D.L. Donoho Smooth wavelet decompositions with blocky coefficient kernels L.L. Schumaker, G. Webb, Recent Advances in Wavelet Analysis 1993 Academic Press Boston, MA 259 308
    • (1993) Recent Advances in Wavelet Analysis , pp. 259-308
    • Donoho, D.L.1
  • 4
    • 0023597654 scopus 로고
    • 4-Point interpolatory subdivision scheme for curve design
    • DOI 10.1016/0167-8396(87)90001-X
    • N. Dyn, J. Gregory, and D. Levin A four-point interpolatory subdivision scheme for curve design Comput. Aided Geom. Des. 4 1987 257 268 (Pubitemid 18595140)
    • (1987) Computer Aided Geometric Design , vol.4 , Issue.4 , pp. 257-268
    • Dyn, N.1    Levin, D.2    Gregory, J.A.3
  • 5
    • 85095851103 scopus 로고    scopus 로고
    • Subdivision schemes in geometric modelling
    • N. Dyn, and D. Levin Subdivision schemes in geometric modelling Acta Numer. 11 2002 73 144
    • (2002) Acta Numer. , vol.11 , pp. 73-144
    • Dyn, N.1    Levin, D.2
  • 6
    • 69949162429 scopus 로고    scopus 로고
    • Interpolatory wavelets for manifold-valued data
    • P. Grohs, and J. Wallner Interpolatory wavelets for manifold-valued data Appl. Comput. Harmon. Anal. 27 2009 325 333
    • (2009) Appl. Comput. Harmon. Anal. , vol.27 , pp. 325-333
    • Grohs, P.1    Wallner, J.2
  • 7
    • 55349135938 scopus 로고    scopus 로고
    • Smoothness analysis of subdivision schemes on regular grids by proximity
    • P. Grohs Smoothness analysis of subdivision schemes on regular grids by proximity SIAM J. Numer. Anal. 46 2008 2169 2182
    • (2008) SIAM J. Numer. Anal. , vol.46 , pp. 2169-2182
    • Grohs, P.1
  • 8
    • 77957299546 scopus 로고    scopus 로고
    • Stability of manifold-valued subdivision schemes and multiscale transformations
    • doi
    • P. Grohs Stability of manifold-valued subdivision schemes and multiscale transformations Constructive Approximation 32 3 2010 569 596, doi: 10.1007/s00365-010-9085-8
    • (2010) Constructive Approximation , vol.32 , Issue.3 , pp. 569-596
    • Grohs, P.1
  • 9
    • 84980162923 scopus 로고
    • Riemannian center of mass and mollifier smoothing
    • H. Karcher Riemannian center of mass and mollifier smoothing Commun. Pure Appl. Math. 30 1977 509 541
    • (1977) Commun. Pure Appl. Math. , vol.30 , pp. 509-541
    • Karcher, H.1
  • 12
    • 24644495206 scopus 로고    scopus 로고
    • 1 analysis of subdivision schemes on manifolds by proximity
    • DOI 10.1016/j.cagd.2005.06.003, PII S0167839605000713
    • 1 analysis of subdivision schemes on manifolds by proximity Comput. Aided Geom. Des. 22 2005 593 622 (Pubitemid 41276992)
    • (2005) Computer Aided Geometric Design , vol.22 , Issue.SPEC. ISS. , pp. 593-622
    • Wallner, J.1    Dyn, N.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.