메뉴 건너뛰기




Volumn 18, Issue 1, 2003, Pages 41-63

Shape-preserving C3 interpolation: The curve case

Author keywords

Interpolation; Parametric curves; Shape preserving; Tension methods

Indexed keywords


EID: 0037212918     PISSN: 10197168     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1021270530342     Document Type: Article
Times cited : (23)

References (24)
  • 2
    • 0035529766 scopus 로고    scopus 로고
    • Local shape-preserving interpolation by space curves
    • S. Asaturyan, P. Costantini and C. Manni, Local shape-preserving interpolation by space curves, IMA J. Numer. Anal. 21 (2001) 301-325.
    • (2001) IMA J. Numer. Anal. , vol.21 , pp. 301-325
    • Asaturyan, S.1    Costantini, P.2    Manni, C.3
  • 3
    • 0009627124 scopus 로고
    • Co-monotone interpolating splines of arbitrary degree. A local approach
    • P. Costantini, Co-monotone interpolating splines of arbitrary degree. A local approach, SIAM J. Sci. Statist. Comput. 8 (1987) 1026-1034.
    • (1987) SIAM J. Sci. Statist. Comput. , vol.8 , pp. 1026-1034
    • Costantini, P.1
  • 4
    • 0002187459 scopus 로고    scopus 로고
    • Shape-preserving interpolation with variable degree polynomial splines
    • eds. J. Hoschek and P.D. Kaklis (Teubner, Stuttgart)
    • P. Costantini, Shape-preserving interpolation with variable degree polynomial splines, in: Advanced Course on FAIRSHAPE, eds. J. Hoschek and P.D. Kaklis (Teubner, Stuttgart, 1996) pp. 87-114.
    • (1996) Advanced Course on FAIRSHAPE , pp. 87-114
    • Costantini, P.1
  • 5
    • 0001809868 scopus 로고    scopus 로고
    • Variable degree polynomial splines
    • eds. P.-J. Laurent, A. Le Méhauté and L.L. Schumaker (Vanderbilt Univ. Press)
    • P. Costantini, Variable degree polynomial splines, in: Curves and Surfaces in Geometric Design, eds. P.-J. Laurent, A. Le Méhauté and L.L. Schumaker (Vanderbilt Univ. Press, 1996) pp. 85-94.
    • (1996) Curves and Surfaces in Geometric Design , pp. 85-94
    • Costantini, P.1
  • 6
    • 0034188372 scopus 로고    scopus 로고
    • Curve and surface construction using variable degree polynomial splines
    • P. Costantini, Curve and surface construction using variable degree polynomial splines, Comput. Aided Geom. Design 17 (2000) 419-446.
    • (2000) Comput. Aided Geom. Design , vol.17 , pp. 419-446
    • Costantini, P.1
  • 7
    • 0025418888 scopus 로고
    • Shape-preserving bivariate interpolation
    • P. Costantini and F. Fontanella, Shape-preserving bivariate interpolation, SIAM J. Numer. Anal. 27 (1990) 488-506.
    • (1990) SIAM J. Numer. Anal. , vol.27 , pp. 488-506
    • Costantini, P.1    Fontanella, F.2
  • 9
    • 0030571097 scopus 로고    scopus 로고
    • On a class of polynomial triangular macro-elements
    • P. Costantini and C. Manni, On a class of polynomial triangular macro-elements, J. Comput. Appl. Math. 73 (1996) 45-64.
    • (1996) J. Comput. Appl. Math. , vol.73 , pp. 45-64
    • Costantini, P.1    Manni, C.2
  • 10
    • 0033148270 scopus 로고    scopus 로고
    • A local tension scheme for scattered data interpolation
    • P. Costantini and C. Manni, A local tension scheme for scattered data interpolation, Comput. Aided Geom. Design 16 (1999) 385-405.
    • (1999) Comput. Aided Geom. Design , vol.16 , pp. 385-405
    • Costantini, P.1    Manni, C.2
  • 11
    • 0035602389 scopus 로고    scopus 로고
    • Shape-preserving approximation by space curves
    • P. Costantini and F. Pelosi, Shape-preserving approximation by space curves, Numer. Algorithms 27 (2001) 237-264.
    • (2001) Numer. Algorithms , vol.27 , pp. 237-264
    • Costantini, P.1    Pelosi, F.2
  • 13
    • 0001156074 scopus 로고    scopus 로고
    • Total positivity and the shape of curves
    • eds. M. Gasca and C.A. Micchelli (Kluwer, Dordrecht)
    • T.N.T. Goodman, Total positivity and the shape of curves, in: Total Positivity and its Applications, eds. M. Gasca and C.A. Micchelli (Kluwer, Dordrecht, 1996) pp. 157-186.
    • (1996) Total Positivity and Its Applications , pp. 157-186
    • Goodman, T.N.T.1
  • 14
    • 0007105649 scopus 로고    scopus 로고
    • Shape preserving interpolation by curves in three dimensions
    • eds. J. Hoschek and P. Kaklis (Teubner, Stuttgart)
    • T.N.T. Goodman and B.H. Ong, Shape preserving interpolation by curves in three dimensions, in: Advanced Course on FAIRSHAPE, eds. J. Hoschek and P. Kaklis (Teubner, Stuttgart, 1996) pp. 40-46.
    • (1996) Advanced Course on FAIRSHAPE , pp. 40-46
    • Goodman, T.N.T.1    Ong, B.H.2
  • 15
    • 0031381123 scopus 로고    scopus 로고
    • Shape-preserving interpolation by space curves
    • T.N.T. Goodman and B.H. Ong, Shape-preserving interpolation by space curves, Comput. Aided Geom. Design 15 (1997) 1-17.
    • (1997) Comput. Aided Geom. Design , vol.15 , pp. 1-17
    • Goodman, T.N.T.1    Ong, B.H.2
  • 16
    • 0002789550 scopus 로고    scopus 로고
    • 2 curves in three dimensions
    • eds. A. Le Méhauté, C. Rabut and L.L. Schumaker (Vanderbilt Univ. Press)
    • 2 curves in three dimensions, in: Curves and Surfaces with Applications in CAGD, eds. A. Le Méhauté, C. Rabut and L.L. Schumaker (Vanderbilt Univ. Press, 1997) pp. 151-158.
    • (1997) Curves and Surfaces with Applications in CAGD , pp. 151-158
    • Goodman, T.N.T.1    Ong, B.H.2
  • 20
    • 0000421970 scopus 로고
    • Convexity preserving polynomial splines of non-uniform degree
    • P.D. Kaklis and D.G. Pandelis, Convexity preserving polynomial splines of non-uniform degree, IMA J. Numer. Anal. 10 (1990) 223-234.
    • (1990) IMA J. Numer. Anal. , vol.10 , pp. 223-234
    • Kaklis, P.D.1    Pandelis, D.G.2
  • 21
    • 0034401556 scopus 로고    scopus 로고
    • Spatial shape-preserving interpolation using ν-splines
    • M.I. Karavelas and P.D. Kaklis, Spatial shape-preserving interpolation using ν-splines, Numer. Algorithms 23 (2000) 217-250.
    • (2000) Numer. Algorithms , vol.23 , pp. 217-250
    • Karavelas, M.I.1    Kaklis, P.D.2
  • 24
    • 85171972993 scopus 로고
    • Interpolatory tension splines with automatic selection of tension factors
    • D.G. Schweikert, Interpolatory tension splines with automatic selection of tension factors, J. Math. Phys. 45 (1966) 312-327.
    • (1966) J. Math. Phys. , vol.45 , pp. 312-327
    • Schweikert, D.G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.