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Volumn 45, Issue 4, 2005, Pages 679-694

Arc length estimation and the convergence of polynomial curve interpolation

Author keywords

Approximation order; Arc length; Curve length; Curve parameterization; Hermite interpolation; Lagrange interpolation

Indexed keywords


EID: 29144513649     PISSN: 00063835     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10543-005-0031-2     Document Type: Conference Paper
Times cited : (19)

References (18)
  • 5
    • 0027642141 scopus 로고
    • High accurate rational approximation of parametric curves
    • W. Degen, High accurate rational approximation of parametric curves, Comput. Aided Geom. Des., 10 (1993), pp. 293-313.
    • (1993) Comput. Aided Geom. Des. , vol.10 , pp. 293-313
    • Degen, W.1
  • 6
    • 0025440803 scopus 로고
    • Good approximation of circles by curvature-continuous Bézier curves
    • T. Dokken, M. Dæhlen, T. Lyche and K. Mørken, Good approximation of circles by curvature-continuous Bézier curves, Comput. Aided Geom. Des., 7 (1990), pp. 33-41.
    • (1990) Comput. Aided Geom. Des. , vol.7 , pp. 33-41
    • Dokken, T.1    Dæhlen, M.2    Lyche, T.3    Mørken, K.4
  • 7
    • 0038285691 scopus 로고
    • A divided difference formula for the error in Hermite interpolation
    • T. Dokken and T. Lyche, A divided difference formula for the error in Hermite interpolation, BIT, 19 (1979), pp. 539-540.
    • (1979) BIT , vol.19 , pp. 539-540
    • Dokken, T.1    Lyche, T.2
  • 8
    • 0016939534 scopus 로고
    • On the influence of parametrization in parametric interpolation
    • M. P. Epstein, On the influence of parametrization in parametric interpolation, SIAM J. Numer. Anal., 13 (1976), pp. 261-268.
    • (1976) SIAM J. Numer. Anal. , vol.13 , pp. 261-268
    • Epstein, M.P.1
  • 9
    • 0031078287 scopus 로고    scopus 로고
    • 2n) Hermite approximation for conic sections
    • 2n) Hermite approximation for conic sections, Comput. Aided Geom. Des., 14 (1997), pp. 135-151.
    • (1997) Comput. Aided Geom. Des. , vol.14 , pp. 135-151
    • Floater, M.S.1
  • 10
    • 2542423844 scopus 로고    scopus 로고
    • A parametric quartic spline interpolant to position, tangent and curvature
    • T. A. Grandine and T. A. Hogan, A parametric quartic spline interpolant to position, tangent and curvature, Computing, 72 (2004), pp. 65-78.
    • (2004) Computing , vol.72 , pp. 65-78
    • Grandine, T.A.1    Hogan, T.A.2
  • 12
    • 0035995563 scopus 로고    scopus 로고
    • The curious history of Faa di Bruno's formula
    • W. P. Johnson, The curious history of Faa di Bruno's formula, Am. Math. Mon., 109 (2002), pp. 217-234.
    • (2002) Am. Math. Mon. , vol.109 , pp. 217-234
    • Johnson, W.P.1
  • 13
    • 0002692303 scopus 로고
    • Geometric Hermite interpolation
    • K. Höllig and J. Koch, Geometric Hermite interpolation, Comput. Aided Geom. Des., 12 (1995), pp. 567-580.
    • (1995) Comput. Aided Geom. Des. , vol.12 , pp. 567-580
    • Höllig, K.1    Koch, J.2
  • 14
    • 0024699908 scopus 로고
    • Choosing nodes in parametric curve interpolation
    • E. T. Y. Lee, Choosing nodes in parametric curve interpolation, Comput.-Aided Des., 21 (1989), pp. 363-370.
    • (1989) Comput.-aided Des. , vol.21 , pp. 363-370
    • Lee, E.T.Y.1
  • 15
    • 0038841798 scopus 로고
    • A metric for parametric approximation
    • P. J. Laurent, A. Le Méhauté and L. L. Schumaker (eds.), A. K. Peters, Wellesley
    • T. Lyche and K. Mørken, A metric for parametric approximation, in Curves and Surfaces, P. J. Laurent, A. Le Méhauté and L. L. Schumaker (eds.), pp. 311-318, A. K. Peters, Wellesley, 1994.
    • (1994) Curves and Surfaces , pp. 311-318
    • Lyche, T.1    Mørken, K.2
  • 16
    • 0031540296 scopus 로고    scopus 로고
    • A general framework for high-accuracy parametric interpolation
    • K. Mørken and K. Scherer, A general framework for high-accuracy parametric interpolation, Math. Comput., 66 (1997), pp. 237-260.
    • (1997) Math. Comput. , vol.66 , pp. 237-260
    • Mørken, K.1    Scherer, K.2
  • 17
    • 0006105052 scopus 로고    scopus 로고
    • Optimal geometric Hermite interpolation of curves
    • M. Dæhlen, T. Lyche and L. L. Schumaker (eds.), Vanderbilt University Press, Nashville
    • R. Schaback, Optimal geometric Hermite interpolation of curves, in Mathematical Methods for Curves and Surfaces II, M. Dæhlen, T. Lyche and L. L. Schumaker (eds.), pp. 417-428, Vanderbilt University Press, Nashville, 1998.
    • (1998) Mathematical Methods for Curves and Surfaces II , pp. 417-428
    • Schaback, R.1
  • 18
    • 0038285692 scopus 로고
    • On remainders of numerical differentiation formulas
    • X. Wang, On remainders of numerical differentiation formulas, Ke Xue Tong Bao (in Chinese), 24 (19) (1979), pp. 869-872.
    • (1979) Ke Xue Tong Bao (in Chinese) , vol.24 , Issue.19 , pp. 869-872
    • Wang, X.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.