Scattered data interpolation and approximation using bivariate \(C^{1}\) piecewise cubic polynomials
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Publication:672085
DOI10.1016/0167-8396(95)00007-0zbMath0873.65011OpenAlexW1964662225WikidataQ127741483 ScholiaQ127741483MaRDI QIDQ672085
Publication date: 27 February 1997
Published in: Computer Aided Geometric Design (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0167-8396(95)00007-0
Numerical computation using splines (65D07) Computer science aspects of computer-aided design (68U07) Computer-aided design (modeling of curves and surfaces) (65D17)
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Cites Work
- Unnamed Item
- On bivariate super vertex splines
- Smooth interpolation to scattered data by bivariate piecewise polynomials of odd degree
- Approximation by cubic \(C^ 1\)-splines on arbitrary triangulations
- A bivariate \(C^ 2\) Clough-Tocher scheme
- Bounds on the dimension of spaces of multivariate piecewise polynomials
- An iterative method for computing multivariate \(C^ 1\) piecewise polynomial interpolants
- Approximation order for bivariate \(C^ 1\)-cubics on a four-directional mesh is full
- Approximation power of smooth bivariate pp functions
- Bounds for a class of linear functionals with applications to Hermite interpolation
- Approximation Order from Bivariate C 1 -Cubics: A Counterexample
- An Explicit Basis for $C^1 $ Quartic Bivariate Splines
- Scattered Data Interpolation Using C2 Supersplines of Degree Six
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