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Volumn 81, Issue 1, 1997, Pages 145-163

Approximation of circular arcs by Bézier curves

Author keywords

Best approximation; Circular arcs; Geometric continuity; Hausdorff distance; Quartic B zier; Quintic B zier

Indexed keywords

ALGEBRA; COMPUTATIONAL METHODS; GEOMETRY; NUMERICAL METHODS;

EID: 0031165496     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(97)00037-X     Document Type: Article
Times cited : (50)

References (16)
  • 2
    • 0000570130 scopus 로고
    • Best approximations of parametric curves by spline
    • T. Lyche, L.L. Schumaker (Eds.), Academic Press, New York
    • W.L.F. Degen, Best approximations of parametric curves by spline, in: T. Lyche, L.L. Schumaker (Eds.), Mathematical Methods in CAGD and Image Processing, Academic Press, New York, 1992, pp. 171-184.
    • (1992) Mathematical Methods in CAGD and Image Processing , pp. 171-184
    • Degen, W.L.F.1
  • 3
    • 0027642141 scopus 로고
    • High accurate rational approximation of parametric curves
    • W.L.F. Degen, High accurate rational approximation of parametric curves, Comput. Aided Geom. Design 10 (1993) 293-313.
    • (1993) Comput. Aided Geom. Design , vol.10 , pp. 293-313
    • Degen, W.L.F.1
  • 5
    • 85033116465 scopus 로고
    • Best constrained approximations of planar curves by Bézier curves
    • P.J. Laurent, A. Le Méhauté, L.L. Schumaker (Eds.)
    • E.F. Eisele, Best constrained approximations of planar curves by Bézier curves, in: P.J. Laurent, A. Le Méhauté, L.L. Schumaker (Eds.), Curves and Surfaces in Geometric Design 1994, pp. 139-146.
    • (1994) Curves and Surfaces in Geometric Design , pp. 139-146
    • Eisele, E.F.1
  • 6
    • 38149147553 scopus 로고
    • Chebychev approximation of plane curves by splines
    • E.F. Eisele, Chebychev approximation of plane curves by splines, J. Approx. Theory 76 (1994) 133-148.
    • (1994) J. Approx. Theory , vol.76 , pp. 133-148
    • Eisele, E.F.1
  • 8
    • 0031078287 scopus 로고    scopus 로고
    • 2n) Hermite approximation for conic sectons
    • 2n) Hermite approximation for conic sectons, Comput. Aided Geom. Design 14 (1997) 135-151.
    • (1997) Comput. Aided Geom. Design , vol.14 , pp. 135-151
    • Floater, M.1
  • 9
    • 0026202613 scopus 로고
    • Approximation of circular arcs by cubic polynomials
    • M. Goldapp, Approximation of circular arcs by cubic polynomials, Comput. Aided Geom. Design 8 (1991) 227-238.
    • (1991) Comput. Aided Geom. Design , vol.8 , pp. 227-238
    • Goldapp, M.1
  • 10
    • 0002462433 scopus 로고
    • Geometric continuity
    • T. Lyche, L.L. Schumaker (Eds.) Academic Press, Nashville
    • J.A. Gregory, Geometric continuity, in: T. Lyche, L.L. Schumaker (Eds.) Mathematical Methods in CAGD, Academic Press, Nashville, 1989, pp. 353-371.
    • (1989) Mathematical Methods in CAGD , pp. 353-371
    • Gregory, J.A.1
  • 12
    • 0030291261 scopus 로고    scopus 로고
    • Geometric Hermite interpolation with maximal order and smoothness
    • K. Höllig, J. Koch, Geometric Hermite interpolation with maximal order and smoothness, Comput. Aided Geom. Design 13 (1996) 681-696.
    • (1996) Comput. Aided Geom. Design , vol.13 , pp. 681-696
    • Höllig, K.1    Koch, J.2
  • 14
    • 0003112863 scopus 로고
    • Best approximation of circle segments by quadratic Bézier curves
    • P.J. Laurent, A. la Méhauté, L.L. Schumaker (Eds.), Academic Press, New York
    • K. Mørken, Best approximation of circle segments by quadratic Bézier curves, in: P.J. Laurent, A. la Méhauté, L.L. Schumaker (Eds.), Curves and Surfaces, Academic Press, New York, 1990.
    • (1990) Curves and Surfaces
    • Mørken, K.1
  • 15
    • 0042402564 scopus 로고
    • Taylor theorem for planar curves
    • A. Rababah, Taylor theorem for planar curves, Proc. Amer. Math. Soc. 119 (1993) 803-810.
    • (1993) Proc. Amer. Math. Soc. , vol.119 , pp. 803-810
    • Rababah, A.1
  • 16
    • 21344485013 scopus 로고
    • Planar curve interpolation by piecewise conics of arbitrary type
    • R. Schaback, Planar curve interpolation by piecewise conics of arbitrary type, Constr. Approx. 9 (1993) 373-389.
    • (1993) Constr. Approx. , vol.9 , pp. 373-389
    • Schaback, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.