메뉴 건너뛰기




Volumn 66, Issue 217, 1997, Pages 237-260

A general framework for high-accuracy parametric interpolation

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0031540296     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0025-5718-97-00796-5     Document Type: Article
Times cited : (47)

References (25)
  • 2
    • 0023606369 scopus 로고
    • High accuracy geometric Hermite interpolation
    • MR 90b:65014
    • C. de Boor, K. Höllig, M. Sabin (1988): High accuracy geometric Hermite interpolation, Comput. Aided Geom. Design, 4:269-278. MR 90b:65014
    • (1988) Comput. Aided Geom. Design , vol.4 , pp. 269-278
    • De Boor, C.1    Höllig, K.2    Sabin, M.3
  • 3
    • 0000570130 scopus 로고
    • Best approximation of parametric curves by splines
    • (T. Lyche, L. L. Schumaker, eds.). San Diego: Academic Press, MR 93e:41017
    • W. L. F. Degen (1992): Best approximation of parametric curves by splines. In: Mathematical Methods in Computer Aided Geometric Design II (T. Lyche, L. L. Schumaker, eds.). San Diego: Academic Press, pp. 171-184. MR 93e:41017
    • (1992) Mathematical Methods in Computer Aided Geometric Design , vol.2 , pp. 171-184
    • Degen, W.L.F.1
  • 4
    • 0027642141 scopus 로고
    • High accurate rational approximation of parametric curves
    • MR 94i:65022
    • L. F. Degen (1993): High accurate rational approximation of parametric curves. Comput. Aided Geom. Design, 10:293-313. MR 94i:65022
    • (1993) Comput. Aided Geom. Design , vol.10 , pp. 293-313
    • Degen, L.F.1
  • 5
    • 0025440803 scopus 로고
    • Good approximation of circles by curvature continuous Bézier curves
    • MR 91j:65028
    • T. Dokken, M. Dæhlen, T. Lyche, K. Mørken (1990): Good approximation of circles by curvature continuous Bézier curves. Comput. Aided Geom. Design, 7:33-41. MR 91j:65028
    • (1990) Comput. Aided Geom. Design , vol.7 , pp. 33-41
    • Dokken, T.1    Dæhlen, M.2    Lyche, T.3    Mørken, K.4
  • 6
    • 38149147553 scopus 로고
    • Chebychev approximation of plane curves by splines
    • MR 95c:41024
    • E. F. Eisele (1994): Chebychev approximation of plane curves by splines, J. Approx. Theory, 76: 133-148. MR 95c:41024
    • (1994) J. Approx. Theory , vol.76 , pp. 133-148
    • Eisele, E.F.1
  • 9
    • 0013317455 scopus 로고
    • Properties of β-splines
    • MR 87f:41020
    • T. N. T. Goodman (1985): Properties of β-splines, J. Approx. Theory, 44:132-153. MR 87f:41020
    • (1985) J. Approx. Theory , vol.44 , pp. 132-153
    • Goodman, T.N.T.1
  • 10
    • 0002462433 scopus 로고
    • Geometric continuity
    • (T. Lyche, L. L. Schumaker, eds.). Boston: Academic Press, MR 91d:65033
    • J. A. Gregory (1989): Geometric continuity. In: Mathematical Methods in CAGD (T. Lyche, L. L. Schumaker, eds.). Boston: Academic Press, pp. 353-371. MR 91d:65033
    • (1989) Mathematical Methods in CAGD , pp. 353-371
    • Gregory, J.A.1
  • 11
    • 0020812046 scopus 로고
    • An offset spline approximation for plane cubic splines
    • R. Klass (1983): An offset spline approximation for plane cubic splines. Comp. Aided Design. 15:297-299.
    • (1983) Comp. Aided Design , vol.15 , pp. 297-299
    • Klass, R.1
  • 14
    • 0038841798 scopus 로고
    • A metric for parametric approximation
    • (P. J. Laurent, A. LeMéhauté, L. L. Schumaker, eds.). Wellesley, Massachusetts: A K Peters, Ltd., MR 95g:65027
    • T. Lyche, K. Mørken (1994): A metric for parametric approximation. In: Curves and Surfaces in Geometric Design (P. J. Laurent, A. LeMéhauté, L. L. Schumaker, eds.). Wellesley, Massachusetts: A K Peters, Ltd., pp. 311-318. MR 95g:65027
    • (1994) Curves and Surfaces in Geometric Design , pp. 311-318
    • Lyche, T.1    Mørken, K.2
  • 15
    • 0003112863 scopus 로고
    • Best approximation of circle segments by quadratic Bézier curves
    • (P. J. Laurent, A. Le Méhauté, L. L. Schumaker, eds.). Boston: Academic Press, CMP 91:17
    • K. Mørken (1991): Best approximation of circle segments by quadratic Bézier curves. In: Curves and Surfaces (P. J. Laurent, A. Le Méhauté, L. L. Schumaker, eds.). Boston: Academic Press, pp. 331-336. CMP 91:17
    • (1991) Curves and Surfaces , pp. 331-336
    • Mørken, K.1
  • 16
    • 0003159108 scopus 로고
    • Parametric interpolation by quadratic polynomials in the plane
    • Vanderbilt Univ. Press, Nashville, TN, MR 96h:65023
    • K. Mørken (1995): Parametric interpolation by quadratic polynomials in the plane. In: Mathematical Methods for Curves and Surfaces. Vanderbilt Univ. Press, Nashville, TN, pp. 385-402. MR 96h:65023
    • (1995) Mathematical Methods for Curves and Surfaces , pp. 385-402
    • Mørken, K.1
  • 17
    • 38249002218 scopus 로고
    • Uniqueness in vector valued approximation
    • MR 94e:41047
    • A. Pinkus (1993): Uniqueness in vector valued approximation. J. Approx. Theory, 73:17-93. MR 94e:41047
    • (1993) J. Approx. Theory , vol.73 , pp. 17-93
    • Pinkus, A.1
  • 19
    • 0029244460 scopus 로고
    • High order approximation method for curves
    • MR 95m:65030
    • A. Rababah (1995): High order approximation method for curves. Comput. Aided Geom. Design, 12:89-102. MR 95m:65030
    • (1995) Comput. Aided Geom. Design , vol.12 , pp. 89-102
    • Rababah, A.1
  • 21
    • 0042265825 scopus 로고
    • Convergence of planar curve interpolation schemes
    • (C. Chui, L. L. Schumaker, J. Ward, eels.). Boston: Academic Press, CMP 91:07
    • R. Schaback (1989): Convergence of planar curve interpolation schemes. In: Approximation Theory VI (C. Chui, L. L. Schumaker, J. Ward, eels.). Boston: Academic Press, pp. 581-584. CMP 91:07
    • (1989) Approximation Theory , vol.6 , pp. 581-584
    • Schaback, R.1
  • 22
    • 21344485013 scopus 로고
    • Planar curve interpolation by piecewise conics of arbitrary type
    • MR 94h:41006
    • R. Schaback (1993): Planar curve interpolation by piecewise conics of arbitrary type. Constr. Approx., 9: 373-389. MR 94h:41006
    • (1993) Constr. Approx. , vol.9 , pp. 373-389
    • Schaback, R.1
  • 23
    • 0043268294 scopus 로고
    • Parametric Approximation
    • MR 46:7771
    • B. Sendov (1969/70): Parametric Approximation. Annuaire Univ. Sofia Fac. Math., 64:237-247. MR 46:7771
    • (1969) Annuaire Univ. Sofia Fac. Math. , vol.64 , pp. 237-247
    • Sendov, B.1
  • 25
    • 0041765194 scopus 로고
    • On parametric approximation
    • MR 52:8732
    • J. Szabados (1972): On parametric approximation. Acta Math. Sci. Hung., 23:275-287. MR 52:8732
    • (1972) Acta Math. Sci. Hung. , vol.23 , pp. 275-287
    • Szabados, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.