메뉴 건너뛰기




Volumn 6, Issue 2, 2006, Pages 193-225

Analysis of a new nonlinear subdivision scheme. Applications in image processing

Author keywords

Harmonic mean; Multiresolution; Nonlinear subdivision scheme

Indexed keywords

ANALYTICAL PROPERTIES; COMPRESSION PROPERTIES; HARMONIC MEAN; MULTI-RESOLUTION TRANSFORMS; MULTIRESOLUTION; NONLINEAR MULTIRESOLUTIONS; NONLINEAR SUBDIVISION SCHEMES; PIECEWISE POLYNOMIALS;

EID: 33744728367     PISSN: 16153375     EISSN: 16153383     Source Type: Journal    
DOI: 10.1007/s10208-004-0122-5     Document Type: Article
Times cited : (70)

References (19)
  • 1
    • 0036531388 scopus 로고    scopus 로고
    • Tensor product multiresolution analysis with error control for compact image representation
    • S. Amat, F. Aràndiga, A. Cohen, and R. Donat, Tensor product multiresolution analysis with error control for compact image representation, Signal Process. 82(4) (2002), 587-608.
    • (2002) Signal Process. , vol.82 , Issue.4 , pp. 587-608
    • Amat, S.1    Aràndiga, F.2    Cohen, A.3    Donat, R.4
  • 3
  • 4
    • 13844271464 scopus 로고    scopus 로고
    • On the stability of the PPH nonlinear multiresolution
    • S. Amat and J. Liandrat, On the stability of the PPH nonlinear multiresolution, Appl. Comput. Harmon. Anal. 18 (2005) 198-206.
    • (2005) Appl. Comput. Harmon. Anal. , vol.18 , pp. 198-206
    • Amat, S.1    Liandrat, J.2
  • 5
    • 0034423911 scopus 로고    scopus 로고
    • Nonlinear multi-scale decomposition: The approach of A. Harten
    • F. Aràndiga and R. Donat, Nonlinear multi-scale decomposition: The approach of A. Harten, Numer. Algorithms 23 (2000) 175-216.
    • (2000) Numer. Algorithms , vol.23 , pp. 175-216
    • Aràndiga, F.1    Donat, R.2
  • 6
    • 2042432638 scopus 로고    scopus 로고
    • Multiresolution based on weighted averages of the hat function I: Linear reconstruction operators
    • F. Aràndiga, R. Donat, and A. Harten, Multiresolution based on weighted averages of the hat function I: Linear reconstruction operators, SIAM J. Numer. Anal. 36 (1999), 160-203.
    • (1999) SIAM J. Numer. Anal. , vol.36 , pp. 160-203
    • Aràndiga, F.1    Donat, R.2    Harten, A.3
  • 7
    • 0032226443 scopus 로고    scopus 로고
    • Multiresolution based on weighted averages of the hat function II: Nonlinear reconstruction operators
    • F. Aràndiga, R. Donat, and A. Harten, Multiresolution based on weighted averages of the hat function II: Nonlinear reconstruction operators, SIAM J. Sci. Comput. 20(3) (1999), 1053-1099.
    • (1999) SIAM J. Sci. Comput. , vol.20 , Issue.3 , pp. 1053-1099
    • Aràndiga, F.1    Donat, R.2    Harten, A.3
  • 8
    • 0346849816 scopus 로고    scopus 로고
    • Quasilinear subdivision schemes with applications to ENO interpolation
    • A. Cohen, N. Dyn, and B. Matei, Quasilinear subdivision schemes with applications to ENO interpolation, Appl. Comput. Harmon. Anal. 15 (2003), 89-116.
    • (2003) Appl. Comput. Harmon. Anal. , vol.15 , pp. 89-116
    • Cohen, A.1    Dyn, N.2    Matei, B.3
  • 9
    • 34249975165 scopus 로고
    • Symmetric iterative interpolation scheme
    • G. Delauries and S. Dubuc, Symmetric iterative interpolation scheme, Constr. Approx. 5 (1989), 49-68.
    • (1989) Constr. Approx. , vol.5 , pp. 49-68
    • Delauries, G.1    Dubuc, S.2
  • 11
    • 0001821903 scopus 로고
    • Subdivision schemes in computer aided geometric design
    • W. A. Light (ed.), Oxford University Press, Oxford, Prentice-Hall, Englewood Cliffs, NJ
    • N. Dyn, Subdivision schemes in computer aided geometric design, in Advances in Numerical Analysis, II. Subdivision Algorithms and Radial Functions, W. A. Light (ed.), Oxford University Press, Oxford, pp. 36-104, Prentice-Hall, Englewood Cliffs, NJ, 1992.
    • (1992) Advances in Numerical Analysis, II. Subdivision Algorithms and Radial Functions , pp. 36-104
    • Dyn, N.1
  • 12
    • 44949266025 scopus 로고
    • Discrete multiresolution analysis and generalized wavelets
    • A. Harten, Discrete multiresolution analysis and generalized wavelets, J. Appl. Numer. Math. 12 (1993), 153-192.
    • (1993) J. Appl. Numer. Math. , vol.12 , pp. 153-192
    • Harten, A.1
  • 13
    • 0000917785 scopus 로고    scopus 로고
    • Multiresolution representation of data II
    • A. Harten, Multiresolution representation of data II, SIAM J. Numer. Anal. 33(3) (1996), 1205-1256.
    • (1996) SIAM J. Numer. Anal. , vol.33 , Issue.3 , pp. 1205-1256
    • Harten, A.1
  • 14
    • 46149130784 scopus 로고
    • Some results on uniformly high-order accurate essentially non-oscillatory schemes
    • A. Harten, S J. Osher, B. Engquist, and S. R. Chakravarthy, Some results on uniformly high-order accurate essentially non-oscillatory schemes, Appl. Numer. Math. 2 (1987), 347-377.
    • (1987) Appl. Numer. Math. , vol.2 , pp. 347-377
    • Harten, A.1    Osher, S.J.2    Engquist, B.3    Chakravarthy, S.R.4
  • 15
    • 33749725182 scopus 로고
    • Uniformly high order accurate essentially non-oscillatory schemes III
    • A. Harten, B. Engquist, S. J. Osher, and S. R. Chakravarthy, Uniformly high order accurate essentially non-oscillatory schemes III, J. Comput. Phys. 71 (1987), 231-303.
    • (1987) J. Comput. Phys. , vol.71 , pp. 231-303
    • Harten, A.1    Engquist, B.2    Osher, S.J.3    Chakravarthy, S.R.4
  • 16
    • 0028485163 scopus 로고
    • Fast multiresolution algorithms for matrix-vector multiplications
    • A. Harten and Yad-Shalom, Fast multiresolution algorithms for matrix-vector multiplications, SIAM J. Numer. Anal. 31 (1994), 1191-1218.
    • (1994) SIAM J. Numer. Anal. , vol.31 , pp. 1191-1218
    • Harten, A.1    Yad-Shalom2
  • 17
    • 0001439303 scopus 로고
    • Local piecewise hyperbolic reconstruction of numerical fluxes for nonlinear scalar conservation laws
    • A. Marquina, Local piecewise hyperbolic reconstruction of numerical fluxes for nonlinear scalar conservation laws, SIAM J. Sci. Comput. 15(4) (1994), 892-915.
    • (1994) SIAM J. Sci. Comput. , vol.15 , Issue.4 , pp. 892-915
    • Marquina, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.