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Volumn 72, Issue 1-2, 2004, Pages 65-78

A parametric quartic spline interpolant to position, tangent and curvature

Author keywords

Curvature continuity; Hermite interpolation; Shape preservation

Indexed keywords

COMPUTER SIMULATION; CONTINUUM MECHANICS; DEGREES OF FREEDOM (MECHANICS); INTERPOLATION; POLYNOMIALS; VECTORS;

EID: 2542423844     PISSN: 0010485X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00607-003-0047-x     Document Type: Conference Paper
Times cited : (17)

References (13)
  • 2
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    • High accurate rational approximation of parametric curves
    • Degen, W. L. F.: High accurate rational approximation of parametric curves. Comp. Aided Geom. Design 10, 293-313 (1993).
    • (1993) Comp. Aided Geom. Design , vol.10 , pp. 293-313
    • Degen, W.L.F.1
  • 3
    • 0002171226 scopus 로고
    • High accuracy approximation of parametric curves
    • Nashville: Vanderbilt Univ. Press
    • Degen, W. L. F.: High accuracy approximation of parametric curves, Mathematical Methods for Curves and Surfaces, pp. 83-98. Nashville: Vanderbilt Univ. Press 1995.
    • (1995) Mathematical Methods for Curves and Surfaces , pp. 83-98
    • Degen, W.L.F.1
  • 5
    • 0036566655 scopus 로고    scopus 로고
    • 2 cubic spline interpolation under geometric boundary conditions
    • 2 cubic spline interpolation under geometric boundary conditions. Comput. Aided Geom. Design 19, 345-363 (2002).
    • (2002) Comput. Aided Geom. Design , vol.19 , pp. 345-363
    • Ginnis, A.I.1    Kaklis, P.D.2
  • 6
    • 0038181489 scopus 로고
    • Shape preserving interpolation by parametric rational cubic splines
    • Agarwal, R. P., Chow, Y. M., Wilson, S. J. (eds.). International Series of Numerical Mathematics. Basel: Birkhäuser
    • Goodman, T. N. T.: Shape preserving interpolation by parametric rational cubic splines. In: Agarwal, R. P., Chow, Y. M., Wilson, S. J. (eds.): Numerical Mathematics Singapore 1988. International Series of Numerical Mathematics, vol. 86. pp. 149-158. Basel: Birkhäuser 1988.
    • (1988) Numerical Mathematics Singapore 1988 , vol.86 , pp. 149-158
    • Goodman, T.N.T.1
  • 8
    • 0038621096 scopus 로고
    • Shape preserving interpolation by parametrically defined curves
    • Goodman, T. N. T., Unsworth, K.: Shape preserving interpolation by parametrically defined curves. SIAM J. Numer. Anal. 25, 1453-1465 (1988).
    • (1988) SIAM J. Numer. Anal. , vol.25 , pp. 1453-1465
    • Goodman, T.N.T.1    Unsworth, K.2
  • 9
    • 0031540296 scopus 로고    scopus 로고
    • A general framework for high-accuracy parametric interpolation
    • Mørken, K., Scherer, K.: A general framework for high-accuracy parametric interpolation. Math. Comp. 66, 237-260 (1997).
    • (1997) Math. Comp. , vol.66 , pp. 237-260
    • Mørken, K.1    Scherer, K.2
  • 12
    • 0006105052 scopus 로고    scopus 로고
    • Optimal geometric Hermite interpolation of curves
    • Innov. Appl. Math. Nashville: Vanderbilt Univ. Press
    • Schaback. R.: Optimal geometric Hermite interpolation of curves. Mathematical Methods for Curves and Surfaces, II, Innov. Appl. Math., pp. 417-428. Nashville: Vanderbilt Univ. Press 1998.
    • (1998) Mathematical Methods for Curves and Surfaces, II , pp. 417-428
    • Schaback, R.1
  • 13
    • 0035499264 scopus 로고    scopus 로고
    • Geometric Hermite interpolation for space curves
    • Xu, L., Shi, J.: Geometric Hermite interpolation for space curves: Comput. Aided Geom. Design 18, 817-829 (2001).
    • (2001) Comput. Aided Geom. Design , vol.18 , pp. 817-829
    • Xu, L.1    Shi, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.