메뉴 건너뛰기




Volumn 61, Issue 3, 2003, Pages 229-246

Quadratic spline quasi-interpolants on bounded domains of ℝd, d = 1, 2, 3

Author keywords

[No Author keywords available]

Indexed keywords


EID: 13544273021     PISSN: 03731243     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Conference Paper
Times cited : (55)

References (43)
  • 1
    • 18544374636 scopus 로고    scopus 로고
    • Near-best quasi-interpolants on uniform and nonuniform partitions in one and two dimensions
    • (Eds. Cohen A., Merrien J.L. and Schumaker L.L.), Nashboro Press, Brentwood
    • BARRERA D., IBAÑZ M.J. AND SABLONNIÈRE P., Near-best quasi-interpolants on uniform and nonuniform partitions in one and two dimensions, in: "Curve and surface fitting, Saint Malo 2002" (Eds. Cohen A., Merrien J.L. and Schumaker L.L.), Nashboro Press, Brentwood 2003, 31-40.
    • (2003) Curve and Surface Fitting, Saint Malo 2002 , pp. 31-40
    • Barrera, D.1    Ibañz, M.J.2    Sablonnière, P.3
  • 2
    • 0002632524 scopus 로고
    • n-th order polynomial spline blending
    • (Eds. Schempp W. and Zeller K.), ISNM Birkhäuser Verlag, Basel
    • BASZENSKI G., n-th order polynomial spline blending, in: "Multivariate approximation theory III", (Eds. Schempp W. and Zeller K.), ISNM 75, 35-46, Birkhäuser Verlag, Basel 1985.
    • (1985) Multivariate Approximation Theory III , vol.75 , pp. 35-46
    • Baszenski, G.1
  • 6
    • 0002611809 scopus 로고
    • Splines as linear combinations of B-splines
    • (Eds. Lorentz G.G. et al.), Academic Press, New-York
    • DE BOOR C., Splines as linear combinations of B-splines, in: "Approximation Theory II", (Eds. Lorentz G.G. et al.), 1-47, Academic Press, New-York 1976.
    • (1976) Approximation Theory II , pp. 1-47
    • De Boor, C.1
  • 7
    • 0001833663 scopus 로고
    • Quasiinterpolants and approximation power of multivariate splines
    • (Eds. Dahmen W., Gasca M. and Micchelli C.A.), Kluwer, Dordrecht
    • DE BOOR C., Quasiinterpolants and approximation power of multivariate splines, in: "Computation of curves and surfaces", (Eds. Dahmen W., Gasca M. and Micchelli C.A.), 313-345, Kluwer, Dordrecht 1990.
    • (1990) Computation of Curves and Surfaces , pp. 313-345
    • De Boor, C.1
  • 9
    • 0002786665 scopus 로고
    • Spline approximation by quasi-interpolants
    • DE BOOR C. AND FIX G., Spline approximation by quasi-interpolants, J. Approx. Theory 8 (1973), 19-45.
    • (1973) J. Approx. Theory , vol.8 , pp. 19-45
    • De Boor, C.1    Fix, G.2
  • 10
    • 0040666045 scopus 로고
    • Construction of real-time spline quasi-interpolation schemes
    • CHEN G., CHUI C.K. AND LAI M.J., Construction of real-time spline quasi-interpolation schemes, Approx. Theory Appl. 4 (1988), 61-75.
    • (1988) Approx. Theory Appl. , vol.4 , pp. 61-75
    • Chen, G.1    Chui, C.K.2    Lai, M.J.3
  • 11
    • 18544363024 scopus 로고
    • A multivariate analog of Marsden's identity and a quasi-interpolation scheme
    • CHUI C.K. AND LAI M.J., A multivariate analog of Marsden's identity and a quasi-interpolation scheme, Constr. Approx. 3 (1987), 111-122.
    • (1987) Constr. Approx. , vol.3 , pp. 111-122
    • Chui, C.K.1    Lai, M.J.2
  • 12
    • 18544385563 scopus 로고
    • On spaces of piecewise polynomials with boundary conditions III. Type II triangulations
    • American Mathematical Society, New York
    • CHUI C.K., SCHUMAKER L.L. AND WANG R.H., On spaces of piecewise polynomials with boundary conditions III. Type II triangulations, in: "Canadian Mathematical Society Conference Proceedings" American Mathematical Society, New York 1983, 67-80.
    • (1983) Canadian Mathematical Society Conference Proceedings , pp. 67-80
    • Chui, C.K.1    Schumaker, L.L.2    Wang, R.H.3
  • 13
    • 0004583077 scopus 로고
    • 1 B-splines on triangulations of nonuniform rectangular partitions
    • 1 B-splines on triangulations of nonuniform rectangular partitions, Approx. Theory Appl. 1 (1984), 11-18.
    • (1984) Approx. Theory Appl. , vol.1 , pp. 11-18
    • Chui, C.K.1    Wang, R.H.2
  • 18
    • 38249017196 scopus 로고
    • Degree of simultaneous approximation of bivariate functions by Gordon operators
    • GONSKA H., Degree of simultaneous approximation of bivariate functions by Gordon operators, J. Approx. Theory 62 (1990), 170-191.
    • (1990) J. Approx. Theory , vol.62 , pp. 170-191
    • Gonska, H.1
  • 20
    • 0003002240 scopus 로고
    • Distributive lattices and approximation of multivariate functions
    • (Ed. I.J. Schoenberg), Academic Press, New-York
    • GORDON W.J., Distributive lattices and approximation of multivariate functions, in: "Approximation with special emphasis on spline functions", (Ed. I.J. Schoenberg), Academic Press, New-York 1969, 223-277.
    • (1969) Approximation with Special Emphasis on Spline Functions , pp. 223-277
    • Gordon, W.J.1
  • 23
    • 2542446136 scopus 로고    scopus 로고
    • Some examples of quasi-interpolants constructed from local spline projectors
    • (Eds. Lyche T. and Schumaker L.L.), Vanderbilt University Press, Nashville
    • LEE B.G., LYCHE T. AND MORKEN K., Some examples of quasi-interpolants constructed from local spline projectors, in: "Innovations in Applied Mathematics", (Eds. Lyche T. and Schumaker L.L.), Vanderbilt University Press, Nashville 2001, 243-252.
    • (2001) Innovations in Applied Mathematics , pp. 243-252
    • Lee, B.G.1    Lyche, T.2    Morken, K.3
  • 25
    • 0001899799 scopus 로고
    • An identity for spline functions with applications to variation diminishing spline approximation
    • MARSDEN J.M. AND SCHOENBERG I.J., An identity for spline functions with applications to variation diminishing spline approximation, J. Approx. Theory 3 (1970), 7-49.
    • (1970) J. Approx. Theory , vol.3 , pp. 7-49
    • Marsden, J.M.1    Schoenberg, I.J.2
  • 26
    • 18544379686 scopus 로고
    • Operator norm bounds and error bounds for quadratic spline interpolation
    • Banach Center Publications
    • MARSDEN J.M., Operator norm bounds and error bounds for quadratic spline interpolation, in: "Approximation Theory", Banach Center Publications 4 1979, 159-175.
    • (1979) Approximation Theory , vol.4 , pp. 159-175
    • Marsden, J.M.1
  • 29
    • 0004577083 scopus 로고
    • Piecewise quadratic surface fitting in contour plotting
    • (Ed. D.J. Evans), Academic Press, London
    • POWELL M.J.D., Piecewise quadratic surface fitting in contour plotting, in: "Software for numerical mathematics", (Ed. D.J. Evans), Academic Press, London 1974, 253-271.
    • (1974) Software for Numerical Mathematics , pp. 253-271
    • Powell, M.J.D.1
  • 30
    • 18544389769 scopus 로고
    • Approximation by multivariate splines: An application of boolean methods
    • (Eds. Braess D. and Schumaker L.L.), ISNM 105, Birkhäuser Verlag, Basel
    • RONG-QING JIA, Approximation by multivariate splines: an application of boolean methods, in: "Numerical methods of approximation theory" 9, (Eds. Braess D. and Schumaker L.L.), ISNM 105, Birkhäuser Verlag, Basel 1992, 117-134.
    • (1992) Numerical Methods of Approximation Theory , vol.9 , pp. 117-134
    • Rong-Qing, J.I.A.1
  • 32
    • 0021482925 scopus 로고
    • Bernstein-Bézier methods for the construction of bivariate spline approximants
    • SABLONNIèRE P., Bernstein-Bézier methods for the construction of bivariate spline approximants, Comput. Aided Geom. Design 2 (1985), 29-36.
    • (1985) Comput. Aided Geom. Design , vol.2 , pp. 29-36
    • Sablonnière, P.1
  • 33
    • 0029721051 scopus 로고    scopus 로고
    • Quasi-interpolants associated with H-splines on a three-direction mesh
    • SABLONNIèRE P., Quasi-interpolants associated with H-splines on a three-direction mesh, J. Comput. and Appl. Math. 66 (1996), 433-442.
    • (1996) J. Comput. and Appl. Math. , vol.66 , pp. 433-442
    • Sablonnière, P.1
  • 34
    • 24644496311 scopus 로고    scopus 로고
    • Quasi-interpolantes sobre particiones uniformes
    • Ubeda, Spain, July 2000. Prepublication IRMAR 00-38
    • SABLONNIèRE P., Quasi-interpolantes sobre particiones uniformes, in: "Meeting in Approximation Theory", Ubeda, Spain, July 2000. Prepublication IRMAR 00-38, 2000.
    • (2000) Meeting in Approximation Theory
    • Sablonnière, P.1
  • 35
    • 18544364529 scopus 로고    scopus 로고
    • H-splines and quasi-interpolants on a three directional mesh
    • (Eds. Buhmann M. and Mache D.H.), ISNM 142, Birkhäuser-Verlag, Basel
    • SABLONNIèRE P., H-splines and quasi-interpolants on a three directional mesh, in "Advanced problems in constructive approximation", (Eds. Buhmann M. and Mache D.H.), ISNM 142, Birkhäuser-Verlag, Basel 2003, 187-201.
    • (2003) Advanced Problems in Constructive Approximation , pp. 187-201
    • Sablonnière, P.1
  • 36
    • 18544372682 scopus 로고    scopus 로고
    • On some multivariate quadratic spline quasi-interpolants on bounded domains
    • (Eds. Hausmann W., Jetter K., Reimer M. and Stöckler J.), ISNM 145, Birkhäuser-Verlag, Basel
    • SABLONNIèRE P., On some multivariate quadratic spline quasi-interpolants on bounded domains, in: "Modern developments in multivariate approximation", (Eds. Hausmann W., Jetter K., Reimer M. and Stöckler J.), ISNM 145, Birkhäuser-Verlag, Basel 2003, 263-278.
    • (2003) Modern Developments in Multivariate Approximation , pp. 263-278
    • Sablonnière, P.1
  • 37
    • 18544372682 scopus 로고    scopus 로고
    • BB-coefficients of basic bivariate quadratic splines on rectangular domains with uniform criss-cross triangulations
    • (Eds. Hausmann W., Jetter K., Reimer M. and Stöckler J.), ISNM 145, Birkhäuser-Verlag, Basel
    • SABLONNIèRE P., BB-coefficients of basic bivariate quadratic splines on rectangular domains with uniform criss-cross triangulations, in: "Modern developments in multivariate approximation", (Eds. Hausmann W., Jetter K., Reimer M. and Stöckler J.), ISNM 145, Birkhäuser- Verlag, Basel 2003, 263-278.
    • (2003) Modern Developments in Multivariate Approximation , pp. 263-278
    • Sablonnière, P.1
  • 39
    • 0039926214 scopus 로고
    • Hermite and Lagrange interpolation by quadratic splines on nonuniform criss-cross triangulations
    • (Eds. Laurent P.J., Le Méhauté A. and Schumaker L.L.), A.K. Peters, Wellesley
    • SABLONNIèRE P. AND JEEAWOCK-ZEDEK F., Hermite and Lagrange interpolation by quadratic splines on nonuniform criss-cross triangulations, in: "Curves and Surfaces", (Eds. Laurent P.J., Le Méhauté A. and Schumaker L.L.), 445-4525, A.K. Peters, Wellesley 1991.
    • (1991) Curves and Surfaces , pp. 445-4525
    • Sablonnière, P.1    Jeeawock-Zedek, F.2
  • 41
    • 0002132406 scopus 로고
    • (Ed. C. de Boor) Birkhäuser-Verlag, Boston
    • SCHOENBERG I.J., Selected papers, Vol. 1-2, (Ed. C. de Boor) Birkhäuser-Verlag, Boston 1988.
    • (1988) Selected Papers , vol.1-2
    • Schoenberg, I.J.1
  • 43
    • 18544376449 scopus 로고    scopus 로고
    • Polynomial reproducing formulas and the commutator of a locally supported spline
    • (Eds. Chui C.K., Schumaker L.L. and Utreras F.), Academic Press, Boston
    • WARD J., Polynomial reproducing formulas and the commutator of a locally supported spline, in: "Topics in multivariate approximation", (Eds. Chui C.K., Schumaker L.L. and Utreras F.), Academic Press, Boston 1987, 255-263.
    • Topics in Multivariate Approximation , vol.1987 , pp. 255-263
    • Ward, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.