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Volumn 25, Issue 3, 2008, Pages 148-156

On the deviation of a parametric cubic spline interpolant from its data polygon

Author keywords

Cubic spline interpolation; Data polygon; Parameterization

Indexed keywords

DATA REDUCTION; NUMERICAL METHODS; PARAMETERIZATION; PROBLEM SOLVING;

EID: 38649132865     PISSN: 01678396     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cagd.2007.08.001     Document Type: Article
Times cited : (36)

References (18)
  • 2
    • 0022769271 scopus 로고
    • On the convergence of some cubic spline interpolation schemes
    • Beatson R.K. On the convergence of some cubic spline interpolation schemes. SIAM J. Numer. Anal. 23 (1986) 903-912
    • (1986) SIAM J. Numer. Anal. , vol.23 , pp. 903-912
    • Beatson, R.K.1
  • 4
    • 0011564042 scopus 로고
    • Error bounds for spline interpolation
    • Birkhoff G., and de Boor C. Error bounds for spline interpolation. J. Math. Mech. 13 (1964) 827-836
    • (1964) J. Math. Mech. , vol.13 , pp. 827-836
    • Birkhoff, G.1    de Boor, C.2
  • 6
    • 0016939534 scopus 로고
    • On the influence of parametrization in parametric interpolation
    • Epstein M.P. On the influence of parametrization in parametric interpolation. SIAM J. Numer. Anal. 13 (1976) 261-268
    • (1976) SIAM J. Numer. Anal. , vol.13 , pp. 261-268
    • Epstein, M.P.1
  • 8
    • 29144513649 scopus 로고    scopus 로고
    • Arc length estimation and the convergence of polynomial curve interpolation
    • Floater M.S. Arc length estimation and the convergence of polynomial curve interpolation. BIT 45 (2005) 679-694
    • (2005) BIT , vol.45 , pp. 679-694
    • Floater, M.S.1
  • 9
    • 30344489016 scopus 로고    scopus 로고
    • Chordal cubic spline interpolation is fourth order accurate
    • Floater M.S. Chordal cubic spline interpolation is fourth order accurate. IMA J. Numer. Anal. 26 (2006) 25-33
    • (2006) IMA J. Numer. Anal. , vol.26 , pp. 25-33
    • Floater, M.S.1
  • 11
    • 0002894694 scopus 로고
    • Knot selection for parametric spline interpolation
    • Lyche T., and Schumaker L.L. (Eds), Academic Press
    • Foley T.A., and Nielson G.M. Knot selection for parametric spline interpolation. In: Lyche T., and Schumaker L.L. (Eds). Mathematical Methods in Computer Aided Geometric Design (1989), Academic Press 261-272
    • (1989) Mathematical Methods in Computer Aided Geometric Design , pp. 261-272
    • Foley, T.A.1    Nielson, G.M.2
  • 12
    • 0011570697 scopus 로고
    • Optimal error bounds for cubic spline interpolation
    • Hall C.A., and Meyer W.W. Optimal error bounds for cubic spline interpolation. J. Approx. Theory 16 (1976) 105-122
    • (1976) J. Approx. Theory , vol.16 , pp. 105-122
    • Hall, C.A.1    Meyer, W.W.2
  • 13
    • 0024699908 scopus 로고
    • Choosing nodes in parametric curve interpolation
    • Lee E.T.Y. Choosing nodes in parametric curve interpolation. Computer-Aided Design 21 (1989) 363-370
    • (1989) Computer-Aided Design , vol.21 , pp. 363-370
    • Lee, E.T.Y.1
  • 14
    • 0026847311 scopus 로고
    • Corners, cusps, and parametrizations: variations on a theme by Epstein
    • Lee E.T.Y. Corners, cusps, and parametrizations: variations on a theme by Epstein. SIAM J. Numer. Anal. 29 (1992) 553-565
    • (1992) SIAM J. Numer. Anal. , vol.29 , pp. 553-565
    • Lee, E.T.Y.1
  • 15
    • 0002476130 scopus 로고
    • An approach to data parametrization in parametric cubic spline interpolation problems
    • Marin S. An approach to data parametrization in parametric cubic spline interpolation problems. J. Approx. Theory 41 (1984) 64-86
    • (1984) J. Approx. Theory , vol.41 , pp. 64-86
    • Marin, S.1
  • 16
    • 0033172483 scopus 로고    scopus 로고
    • Sharp, quantitative bounds on the distance between a polynomial piece and its Bezier control polygon
    • Nairn D., Peters J., and Lutterkort D. Sharp, quantitative bounds on the distance between a polynomial piece and its Bezier control polygon. Comp. Aided Geom. Design 16 (1999) 613-631
    • (1999) Comp. Aided Geom. Design , vol.16 , pp. 613-631
    • Nairn, D.1    Peters, J.2    Lutterkort, D.3
  • 17
    • 38649109545 scopus 로고    scopus 로고
    • Penot, J.P., 1983. Un problème de splines et de sensibilité. In: Publications Mathematiques Université de Pau et des Pays de l'Adour, pp. IV.1-IV.7
    • Penot, J.P., 1983. Un problème de splines et de sensibilité. In: Publications Mathematiques Université de Pau et des Pays de l'Adour, pp. IV.1-IV.7
  • 18
    • 0039269112 scopus 로고
    • Degree of approximation of spline interpolation
    • Sharma A., and Meir A. Degree of approximation of spline interpolation. J. Math. Mech. 15 (1966) 759-767
    • (1966) J. Math. Mech. , vol.15 , pp. 759-767
    • Sharma, A.1    Meir, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.