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Volumn 15, Issue 1, 1997, Pages 55-71

Piecewise rational approximations of real algebraic curves

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; COMPUTATIONAL METHODS; ERROR ANALYSIS; ERRORS; MATHEMATICAL TECHNIQUES; PIECEWISE LINEAR TECHNIQUES; POLYNOMIALS;

EID: 0030736122     PISSN: 02549409     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (24)

References (25)
  • 1
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    • Abhyankar, S.1
  • 2
    • 85032873564 scopus 로고
    • Computations with algebraic curves
    • Proc. of the Intl. Symposium on Symbolic and Algebraic Computation, (1988), Springer-Verlag
    • S. Abhyankar and C. Bajaj, Computations with algebraic curves, Proc. of the Intl. Symposium on Symbolic and Algebraic Computation, (1988), Lecture Notes in Computer Science, No. 358, Springer-Verlag, (1989), 279-284.
    • (1989) Lecture Notes in Computer Science , vol.358 , pp. 279-284
    • Abhyankar, S.1    Bajaj, C.2
  • 3
    • 0024749693 scopus 로고
    • Automatic rational parameterization of curves and surfaces IV: Algebraic space curves
    • S. Abhyankar, and C. Bajaj, Automatic rational parameterization of curves and surfaces IV: algebraic space curves, ACM Transactions of Graphics, 8(1989), 324-333.
    • (1989) ACM Transactions of Graphics , vol.8 , pp. 324-333
    • Abhyankar, S.1    Bajaj, C.2
  • 4
    • 0344657341 scopus 로고
    • Geometric modeling with algebraic surfaces
    • edited by D. Handscomb, Oxford University Press
    • C. Bajaj, Geometric modeling with algebraic surfaces, The Mathematics of Surfaces III, edited by D. Handscomb, Oxford University Press, (1989), 3-48.
    • (1989) The Mathematics of Surfaces III , pp. 3-48
    • Bajaj, C.1
  • 5
    • 0025146720 scopus 로고
    • Geometric computations with algebraic varieties of bounded degreeQuot;
    • Berkeley, California
    • C. Bajaj, Geometric computations with algebraic varieties of bounded degreeQuot;, Proc. of 6th Annual ACM Symposium on Computational Geometry, (1990) Berkeley, California, 148-156.
    • (1990) Proc. of 6th Annual ACM Symposium on Computational Geometry , pp. 148-156
    • Bajaj, C.1
  • 6
    • 51249166300 scopus 로고
    • NURBS approximation of surface/surface intersection curves
    • C. Bajaj, and G. Xu, NURBS approximation of surface/surface intersection curves, Advances in Computational Mathematics, 2(1994), 1-21.
    • (1994) Advances in Computational Mathematics , vol.2 , pp. 1-21
    • Bajaj, C.1    Xu, G.2
  • 8
    • 84983014125 scopus 로고
    • Fast solutions of toeplitz systems of polynomial equations and computation of Padé approximants
    • R. Brent, Gustavson and D. Yun, Fast solutions of toeplitz systems of polynomial equations and computation of Padé approximants, Journal of Algorithms, 1(1980), 259-295.
    • (1980) Journal of Algorithms , vol.1 , pp. 259-295
    • Brent, R.1    Gustavson2    Yun, D.3
  • 9
    • 0003767840 scopus 로고
    • The complexity of robot motion planningQuot;
    • MIT Press
    • J. Canny, The complexity of robot motion planningQuot; ACM Doctoral Dissertation Series, MIT Press, (1988), 66-75.
    • (1988) ACM Doctoral Dissertation Series , pp. 66-75
    • Canny, J.1
  • 10
    • 38249040055 scopus 로고    scopus 로고
    • On expansions of algebraic functions in power and puiseux series
    • Chudnovsky and Chudnovsky, On expansions of algebraic functions in power and puiseux series, Journal of Complexity, part I: 2, 271-294
    • Journal of Complexity, Part I , vol.2 , pp. 271-294
    • Chudnovsky1    Chudnovsky2
  • 16
    • 0013408278 scopus 로고
    • Piecewise linear approximations of digitized apace curves with applicationsQuot;
    • ed., N.M. Patrikalakis, Springer-Verlag
    • I. Ihm and B. Naylor, Piecewise linear approximations of digitized apace curves with applicationsQuot;, in Scientific Visualization of Physical Phenomena, ed., N.M. Patrikalakis, Springer-Verlag, 545-569, (1991).
    • (1991) Scientific Visualization of Physical Phenomena , pp. 545-569
    • Ihm, I.1    Naylor, B.2
  • 17
    • 0022890407 scopus 로고
    • Applications of power sries in computational geometry
    • Y. Montaudouin, W. Tiller and H. Void, Applications of power sries in computational geometry, Computer Aided Design, 18(1986), 514-524.
    • (1986) Computer Aided Design , vol.18 , pp. 514-524
    • Montaudouin, Y.1    Tiller, W.2    Void, H.3
  • 19
    • 0023456371 scopus 로고
    • Curve and surface construction using rational B-splines
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    • (1987) Computer Aided Design , vol.19 , pp. 485-498
    • Peigl, L.1    Tiller, W.2
  • 20
    • 0000316396 scopus 로고
    • On Pólya frequency functions III. the positivity of translation determinants with applications to the interpolation problem by spline curves
    • I. J. Schoenberg and A. Whitney, On Pólya frequency functions III. The positivity of translation determinants with applications to the interpolation problem by spline curves, Trans. Amer. Math. Soc., 74(1953), 246-259.
    • (1953) Trans. Amer. Math. Soc. , vol.74 , pp. 246-259
    • Schoenberg, I.J.1    Whitney, A.2
  • 22
    • 0003005526 scopus 로고
    • Rational approximation of algebraic curves
    • eds. W. Strasser and H-P. Seidel, Springer Verlag
    • T. Sederberg, J. Zhao and A. Zundel, Rational approximation of algebraic curves, In: Theory and Practice of Geometric Modeling, eds. W. Strasser and H-P. Seidel, Springer Verlag, (1989), 33-54.
    • (1989) Theory and Practice of Geometric Modeling , pp. 33-54
    • Sederberg, T.1    Zhao, J.2    Zundel, A.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.