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Volumn 71, Issue 2, 1996, Pages 365-382

Convexity of rational curves and total positivity

Author keywords

Convexity; Monotonicity; Total positivity

Indexed keywords

FUNCTIONS; MATHEMATICAL MODELS; NUMERICAL ANALYSIS;

EID: 0030193592     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/0377-0427(95)00240-5     Document Type: Article
Times cited : (30)

References (13)
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  • 2
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    • A geometric proof of total positivity for spline interpolation
    • C. De Boor and R. DeVore, A geometric proof of total positivity for spline interpolation, Math. Comput. 172 (1985) 497-504.
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  • 4
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    • Convex curves from convex control polygons
    • M. Dæhlen, T. Lyche and L.L. Schumaker, Eds., Vanderbilt Univ. Press, Nashville, TN
    • J.M. Carnicer, M. García-Esnaola and J.M. Peña, Convex curves from convex control polygons, in: M. Dæhlen, T. Lyche and L.L. Schumaker, Eds., Mathematical Methods in CAGD III (Vanderbilt Univ. Press, Nashville, TN, 1995) 63-72.
    • (1995) Mathematical Methods in CAGD III , pp. 63-72
    • Carnicer, J.M.1    García-Esnaola, M.2    Peña, J.M.3
  • 5
    • 51249165873 scopus 로고
    • A generalization of the variation diminishing property
    • J.M. Carnicer, T.N.T. Goodman and J.M. Peña, A generalization of the variation diminishing property. Adv. Comput. Math. 3 (1995) 375-394.
    • (1995) Adv. Comput. Math. , vol.3 , pp. 375-394
    • Carnicer, J.M.1    Goodman, T.N.T.2    Peña, J.M.3
  • 6
    • 0000396870 scopus 로고
    • Shape preserving representations and optimality of the Bernstein basis
    • J.M. Carnicer and J.M. Peña, Shape preserving representations and optimality of the Bernstein basis, Adv. Comput. Math. 1 (1993) 173-196.
    • (1993) Adv. Comput. Math. , vol.1 , pp. 173-196
    • Carnicer, J.M.1    Peña, J.M.2
  • 7
    • 0028736414 scopus 로고
    • Totally positive bases for shape preserving curve design and optimality of B-splines
    • J.M. Carnicer and J.M. Peña. Totally positive bases for shape preserving curve design and optimality of B-splines, Comput. Aided Geometric Des. 11 (1994) 635-656.
    • (1994) Comput. Aided Geometric Des. , vol.11 , pp. 635-656
    • Carnicer, J.M.1    Peña, J.M.2
  • 8
    • 0002100285 scopus 로고
    • Monotonicity preserving representations
    • P.J. Laurent, A. Le Méhauté and L.L. Schumaker, Eds., AKPeters, Boston
    • J.M. Carnicer and J.M. Peña, Monotonicity preserving representations, in: P.J. Laurent, A. Le Méhauté and L.L. Schumaker, Eds., Curves and Surfaces II (AKPeters, Boston, 1994) 83-90.
    • (1994) Curves and Surfaces II , pp. 83-90
    • Carnicer, J.M.1    Peña, J.M.2
  • 10
    • 0001020447 scopus 로고
    • Shape preserving representations
    • T. Lyche and L.L. Shumaker, Eds., Academic Press, Boston
    • T.N.T. Goodman, Shape preserving representations, in: T. Lyche and L.L. Shumaker, Eds., Mathematical Methods in CAGD (Academic Press, Boston, 1989) 333-357.
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    • Goodman, T.N.T.1
  • 11
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    • Inflections on curves in two and three dimensions
    • T.N.T. Goodman, Inflections on curves in two and three dimensions, Comput. Aided Geometric Des. 8 (1991) 37-50.
    • (1991) Comput. Aided Geometric Des. , vol.8 , pp. 37-50
    • Goodman, T.N.T.1
  • 12
    • 0026156565 scopus 로고
    • Shape preserving properties of the generalized ball basis
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  • 13
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.