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Volumn 13, Issue 1, 1996, Pages 81-88

Scattered data interpolation and approximation using bivariate C1 piecewise cubic polynomials

Author keywords

B net; Bivariate splines; Full approximation order; Quadrangulation; Scattered data interpolation

Indexed keywords


EID: 0003080587     PISSN: 01678396     EISSN: None     Source Type: Journal    
DOI: 10.1016/0167-8396(95)00007-0     Document Type: Article
Times cited : (40)

References (16)
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  • 4
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    • Chui, C.K.1    Lai, M.-J.2
  • 5
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    • Ciarlet, P.G. (1974), Sur l'élement de Clough et Tocher, RAIRO Anal. Numér. R2, 19-27.
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    • Ciarlet, P.G.1
  • 6
    • 0002653115 scopus 로고
    • B-form basics
    • Farin, G., ed., SIAM, Philadelphia, PA
    • de Boor, C. (1987), B-form basics, in: Farin, G., ed., Geometric Modeling, SIAM, Philadelphia, PA, 131-148.
    • (1987) Geometric Modeling , pp. 131-148
    • De Boor, C.1
  • 8
    • 0000141069 scopus 로고
    • Approximation power of smooth bivariate pp functions
    • de Boor, C. and Höllig, K. (1988), Approximation power of smooth bivariate pp functions, Math. Z. 197, 343-363.
    • (1988) Math. Z. , vol.197 , pp. 343-363
    • De Boor, C.A.1    Höllig, K.2
  • 9
    • 46149129389 scopus 로고
    • Triangular Bernstein-Bézier patches
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    • (1986) Computer Aided Geometric Design , vol.3 , pp. 83-127
    • Farin, G.1
  • 12
    • 0025468684 scopus 로고
    • Smooth interpolation to scattered data by bivariate piecewise polynomials of odd degree
    • Gmelig Meyling, R.H.J. and Pfluger, P.R. (1990), Smooth interpolation to scattered data by bivariate piecewise polynomials of odd degree. Computer Aided Geometric Design 7, 439-458.
    • (1990) Computer Aided Geometric Design , vol.7 , pp. 439-458
    • Gmelig Meyling, R.H.J.1    Pfluger, P.R.2
  • 14
    • 0028413419 scopus 로고
    • 1-cubics on a four-directional mesh is full
    • 1-cubics on a four-directional mesh is full, Computer Aided Geometric Design 11, 215-223.
    • (1994) Computer Aided Geometric Design , vol.11 , pp. 215-223
    • Lai, M.J.1
  • 16
    • 0001207382 scopus 로고
    • Bounds on the dimension of spaces of multivariate piecewise polynomials
    • Schumaker, L.L. (1984), Bounds on the dimension of spaces of multivariate piecewise polynomials, Rocky Mountain J. Math. 14, 251-264.
    • (1984) Rocky Mountain J. Math. , vol.14 , pp. 251-264
    • Schumaker, L.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.