메뉴 건너뛰기




Volumn 48, Issue 1-3, 2008, Pages 261-278

Analysis of some bivariate non-linear interpolatory subdivision schemes

Author keywords

Bivariate subdivision scheme; Convergence; Non linear subdivision scheme; Regularity

Indexed keywords


EID: 47749110632     PISSN: 10171398     EISSN: 15729265     Source Type: Journal    
DOI: 10.1007/s11075-008-9169-8     Document Type: Article
Times cited : (8)

References (20)
  • 1
    • 33744728367 scopus 로고    scopus 로고
    • Analysis of a new non-linear subdivision scheme: Applications in image processing
    • Amat, S., Donat, R., Liandrat, J., Trillo, J.C.: Analysis of a new non-linear subdivision scheme: applications in image processing. Found. Comput. Math. 225, 193-225 (2005)
    • (2005) Found. Comput. Math. , vol.225 , pp. 193-225
    • Amat, S.1    Donat, R.2    Liandrat, J.3    Trillo, J.C.4
  • 2
    • 13844271464 scopus 로고    scopus 로고
    • On the stability of PPH non-linear multi-resolution
    • Amat, S., Liandrat, J.: On the stability of PPH non-linear multi-resolution. Appl. Comput. Harmon. Anal. 18, 198-206 (2005)
    • (2005) Appl. Comput. Harmon. Anal. , vol.18 , pp. 198-206
    • Amat, S.1    Liandrat, J.2
  • 3
    • 47749114864 scopus 로고    scopus 로고
    • On the convergence of various subdivision schemes using perturbation theorem
    • Chenin, P., Lyche, T., Schumaker, L.L. (eds.) Avignon, June 2006 Nashboro Press
    • Amat, S., Dadourian, K., Liandrat, J.: On the convergence of various subdivision schemes using perturbation theorem. In: Chenin, P., Lyche, T., Schumaker, L.L. (eds.) Curve and Surface Design, 6th International Conference on Curves and Surfaces, Avignon, June 2006, vol. 1, pp. 1-10. Nashboro Press (2007)
    • (2007) Curve and Surface Design, 6th International Conference on Curves and Surfaces , vol.1110
    • Amat, S.1    Dadourian, K.2    Liandrat, J.3
  • 4
    • 0034423911 scopus 로고    scopus 로고
    • Non-linear multi-scale decompositions: The approach of A
    • Arandiga, F., Donat, R.: Non-linear multi-scale decompositions: the approach of A. Harten. Numer. Algorithms 23, 175-216 (2000)
    • (2000) Harten. Numer. Algorithms , vol.23 , pp. 175-216
    • Arandiga, F.1    Donat, R.2
  • 5
    • 47749145628 scopus 로고    scopus 로고
    • Belda A.M., Technical report, Universidad de Valencia (2004)
    • Belda, A.M.: Technical report, Universidad de Valencia (2004)
  • 7
    • 0001051450 scopus 로고
    • An algorithm for high speed curve generation
    • Chaikin, G.: An algorithm for high speed curve generation. Comput. Graph. Image Process. 3, 346-349 (1974)
    • (1974) Comput. Graph. Image Process. , vol.3 , pp. 346-349
    • Chaikin, G.1
  • 8
    • 0346849816 scopus 로고    scopus 로고
    • Quasi-linear subdivision schemes with applications to ENO interpolation
    • Cohen, A., Dyn, N., Matei, B.: Quasi-linear subdivision schemes with applications to ENO interpolation. Appl. Comput. Harmon. Anal. 15, 89-116 (2003)
    • (2003) Appl. Comput. Harmon. Anal. , vol.15 , pp. 89-116
    • Cohen, A.1    Dyn, N.2    Matei, B.3
  • 10
    • 7444252189 scopus 로고    scopus 로고
    • Normal multi-resolution approximation of curves
    • Daubechies, I., Runborg, O., Sweldens, W.: Normal multi-resolution approximation of curves. Constr. Approx. 20, 399-463 (2004)
    • (2004) Constr. Approx. , vol.20 , pp. 399-463
    • Daubechies, I.1    Runborg, O.2    Sweldens, W.3
  • 11
    • 0034345319 scopus 로고    scopus 로고
    • Non-linear pyramid transforms based on median interpolation
    • Donoho, D., Yu, T.P.: Non-linear pyramid transforms based on median interpolation. SIAM J. Math. Anal. 31, 1030-1061 (2000)
    • (2000) SIAM J. Math. Anal. , vol.31 , pp. 1030-1061
    • Donoho, D.1    Yu, T.P.2
  • 12
    • 34249975165 scopus 로고
    • Symmetric iterative interpolation processes
    • Deslauriers, G., Dubuc, S.: Symmetric iterative interpolation processes. Const. Approx. 5, 49-68 (1989)
    • (1989) Const. Approx. , vol.5 , pp. 49-68
    • Deslauriers, G.1    Dubuc, S.2
  • 13
    • 0001821903 scopus 로고
    • Subdivision schemes in computer aided geometric design
    • Dyn, N.: Subdivision schemes in computer aided geometric design. Oxford University Press 20, 36-104 (1992)
    • (1992) Oxford University Press , vol.20 , pp. 36-104
    • Dyn, N.1
  • 14
    • 0000917785 scopus 로고    scopus 로고
    • Multi-resolution representation of data: A general framework
    • 3
    • Harten, A.: Multi-resolution representation of data: a general framework. SIAM J. Numer. Anal. 33(3), 1205-1256 (1996)
    • (1996) SIAM J. Numer. Anal. , vol.33 , pp. 1205-1256
    • Harten, A.1
  • 15
    • 0030161771 scopus 로고    scopus 로고
    • Efficient implementation of weighted ENO scheme
    • Jiang, G.S., Shu, C.W.: Efficient implementation of weighted ENO scheme. J. Comput. Phys. 126, 202-228 (1996)
    • (1996) J. Comput. Phys. , vol.126 , pp. 202-228
    • Jiang, G.S.1    Shu, C.W.2
  • 16
    • 55349135938 scopus 로고    scopus 로고
    • Smoothness analysis of subdivision schemes on regular grids by proximity
    • to appear
    • Grohs, P.: Smoothness analysis of subdivision schemes on regular grids by proximity. SIAM J. Numer. Anal. (2008) (to appear)
    • (2008) SIAM J. Numer. Anal.
    • Grohs, P.1
  • 17
    • 0000592595 scopus 로고
    • Weighted essentially non-oscillatory schemes
    • Liu, X.D., Osher, S. Chan, T.: Weighted essentially non-oscillatory schemes. J. Comput. Phys. 115, 200-212 (1994)
    • (1994) J. Comput. Phys. , vol.115 , pp. 200-212
    • Liu ., X.D.1    Osher, S.2    Chan, T.3
  • 18
    • 0842282040 scopus 로고    scopus 로고
    • Smoothness characterization and stability for non-linear multi-scale representations
    • Matei, B.: Smoothness characterization and stability for non-linear multi-scale representations. C. R. Math. Acad. Sci. Paris 338, 321-326 (2004)
    • (2004) C. R. Math. Acad. Sci. Paris , vol.338 , pp. 321-326
    • Matei, B.1
  • 19
    • 4043102638 scopus 로고    scopus 로고
    • Smoothness of non-linear median-interpolation subdivision
    • Oswald, P.: Smoothness of non-linear median-interpolation subdivision. Adv. Comput. 20, 401-423 (2004)
    • (2004) Adv. Comput. , vol.20 , pp. 401-423
    • Oswald, P.1
  • 20
    • 1442282989 scopus 로고    scopus 로고
    • Power ENO methods: A fifth order accurate weighted power ENO method
    • Serna, S., Marquina, A.: Power ENO methods: a fifth order accurate weighted power ENO method. J. Comput. Phys. 194, 632-658 (2004)
    • (2004) J. Comput. Phys. , vol.194 , pp. 632-658
    • Serna, S.1    Marquina, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.