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Volumn 29, Issue 1, 2008, Pages 71-89

A multivariate Powell-Sabin interpolant

Author keywords

Bernstein B zier form; N simplices; Piecewise quadratic interpolation; Powell Sabin

Indexed keywords


EID: 46749142520     PISSN: 10197168     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10444-007-9041-8     Document Type: Article
Times cited : (25)

References (12)
  • 1
    • 0036104937 scopus 로고    scopus 로고
    • Smooth macro-elements based on Powell-Sabin triangle splits
    • Alfeld, P., Schumaker, L.L.: Smooth macro-elements based on Powell-Sabin triangle splits. Adv. Comput. Math. 16, 29-46 (2002)
    • (2002) Adv. Comput. Math. , vol.16 , pp. 29-46
    • Alfeld, P.1    Schumaker, L.L.2
  • 4
    • 0037236534 scopus 로고    scopus 로고
    • Macro-elements and stable local bases for splines on Powell-Sabin triangulations
    • Lai, M.-J., Schumaker, L.L.: Macro-elements and stable local bases for splines on Powell-Sabin triangulations. Math. Comp. 72, 335-354 (2003)
    • (2003) Math. Comp. , vol.72 , pp. 335-354
    • Lai, M.-J.1    Schumaker, L.L.2
  • 5
    • 0023015266 scopus 로고
    • Properties of n-dimensional triangulations
    • Lawson, C.L.: Properties of n-dimensional triangulations. Comput. Aided Geom. Design 3, 231-246 (1986)
    • (1986) Comput. Aided Geom. Design , vol.3 , pp. 231-246
    • Lawson, C.L.1
  • 6
    • 84976757268 scopus 로고
    • Piecewise quadratic approximation on triangles
    • Powell, M.J.D., Sabin, M.A.: Piecewise quadratic approximation on triangles. ACM Trans. Math. Software 3, 316-325 (1977)
    • (1977) ACM Trans. Math. Software , vol.3 , pp. 316-325
    • Powell, M.J.D.1    Sabin, M.A.2
  • 7
    • 3042638696 scopus 로고    scopus 로고
    • Reconstruction of volume data with quadratic super splines
    • van Wijk, J., Moorhead, R., Turk, G. (eds.). IEEE Computer Society
    • Rössl, C., Zeilfelder, F., Nürnberger, G., Seidel, H.-P.: Reconstruction of volume data with quadratic super splines. In: van Wijk, J., Moorhead, R., Turk, G. (eds.) Transactions on Visualization and Computer Graphics, pp. 397-409. IEEE Computer Society (2004)
    • (2004) Transactions on Visualization and Computer Graphics , pp. 397-409
    • Rössl, C.1    Zeilfelder, F.2    Nürnberger, G.3    Seidel, H.-P.4
  • 8
  • 9
    • 42349103309 scopus 로고    scopus 로고
    • Ph.D. Thesis. Vanderbilt University, Nashville, TN
    • 1 macro-elements. Ph.D. Thesis. Vanderbilt University, Nashville, TN (2004)
    • (2004) 1 Macro-elements
    • Sorokina, T.1
  • 10
    • 0001288395 scopus 로고
    • A Markov inequality in several dimensions
    • Wilhelmsen, D.R.: A Markov inequality in several dimensions. J. Approx. Theory 11, 216-220 (1974)
    • (1974) J. Approx. Theory , vol.11 , pp. 216-220
    • Wilhelmsen, D.R.1
  • 11
    • 0006124344 scopus 로고
    • An n-dimensional Clough-Tocher interpolant
    • Worsey, A.J., Farin, G.: An n-dimensional Clough-Tocher interpolant. Constr. Approx. 3, 99-110 (1987)
    • (1987) Constr. Approx , vol.3 , pp. 99-110
    • Worsey, A.J.1    Farin, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.