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Volumn 14, Issue 1, 1997, Pages 5-11

Shape preserving representations for trigonometric polynomial curves

Author keywords

Shape preservation; Total positivity; Trigonometric polynomial curve

Indexed keywords

COMPUTATIONAL METHODS; COMPUTER AIDED DESIGN; POLYNOMIALS;

EID: 0030737321     PISSN: 01678396     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-8396(96)00017-9     Document Type: Article
Times cited : (88)

References (16)
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    • Alfeld, P., Neamtu, M. and Schumaker, L.L. (1995), Circular Bernstein-Bezier polynomials, in: Daehlen, M., Lyche, T. and Schumaker, L.L., eds., Mathematical Methods for Curves and Surfaces, Vanderbilt University Press, Nashville, 11-20.
    • (1995) Mathematical Methods for Curves and Surfaces , pp. 11-20
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  • 3
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    • Shape preserving representations and optimality of the Bernstein basis
    • Carnicer, J.M. and Peña, J.M. (1993), Shape preserving representations and optimality of the Bernstein basis, Adv. Computer Math. 1, 173-196.
    • (1993) Adv. Computer Math. , vol.1 , pp. 173-196
    • Carnicer, J.M.1    Peña, J.M.2
  • 4
    • 0006446920 scopus 로고
    • Totally positive bases and optimality of B-splines
    • Carnicer, J.M. and Peña, J.M. (1994), Totally positive bases and optimality of B-splines, Computer Aided Geometric Design 11, 635-656.
    • (1994) Computer Aided Geometric Design , vol.11 , pp. 635-656
    • Carnicer, J.M.1    Peña, J.M.2
  • 5
    • 0001967871 scopus 로고    scopus 로고
    • Total positivity and optimal bases
    • Gasca, M. and Micchelli, C.A., eds., Kluwer Academic Press
    • Carnicer, J.M. and Peña J.M. (1996), Total positivity and optimal bases, in: Gasca, M. and Micchelli, C.A., eds., Total Positivity and Its Applications, Kluwer Academic Press, 133-155.
    • (1996) Total Positivity and Its Applications , pp. 133-155
    • Carnicer, J.M.1    Peña, J.M.2
  • 7
    • 38149146358 scopus 로고
    • A matricial description of Neville elimination with applications to total positivity
    • Gasca, M. and Peña, J.M. (1994), A matricial description of Neville elimination with applications to total positivity, Linear Algebra Appl. 202, 33-54.
    • (1994) Linear Algebra Appl. , vol.202 , pp. 33-54
    • Gasca, M.1    Peña, J.M.2
  • 8
    • 0001020447 scopus 로고
    • Shape preserving representations
    • Lyche, T. and Schumaker, L.L., eds., Academic Press, Boston
    • Goodman, T.N.T. (1989), Shape preserving representations, in: Lyche, T. and Schumaker, L.L., eds., Mathematical Methods in CAGD, Academic Press, Boston, 333-357.
    • (1989) Mathematical Methods in CAGD , pp. 333-357
    • Goodman, T.N.T.1
  • 9
    • 84971146955 scopus 로고
    • Interpolatory and variation diminishing properties of generalized B-splines
    • Goodman, T.N.T. and Lee, S. (1984), Interpolatory and variation diminishing properties of generalized B-splines, Proc. Roy. Soc. Edinburgh Sect. A 96A, 249-259.
    • (1984) Proc. Roy. Soc. Edinburgh Sect. A , vol.96 A , pp. 249-259
    • Goodman, T.N.T.1    Lee, S.2
  • 10
    • 38249031099 scopus 로고
    • Corner cutting algorithms for the Bézier representation of free form curves
    • Goodman, T.N.T. and Micchelli, C.A. (1988), Corner cutting algorithms for the Bézier representation of free form curves, Linear Algebra Appl. 99, 225-252.
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    • Goodman, T.N.T.1    Micchelli, C.A.2
  • 12
    • 0001023532 scopus 로고
    • A stable recurrence relation for trigonometric B-splines
    • Lyche, T. and Winther, R. (1979), A stable recurrence relation for trigonometric B-splines, J. Approx. Theory 25, 266-279.
    • (1979) J. Approx. Theory , vol.25 , pp. 266-279
    • Lyche, T.1    Winther, R.2
  • 13
    • 0000950747 scopus 로고
    • Control curves and knot insertion for trigonometric splines
    • Koch, P.E., Lyche, T., Neamtu, M. and Schumaker, L.L. (1995), Control curves and knot insertion for trigonometric splines, Adv. Computer Math. 3, 405-424.
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.