A new approach to increase the flexibility of curves and regular surfaces produced by 4-point ternary subdivision scheme
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Publication:2209666
DOI10.1155/2020/6096545zbMath1459.65019OpenAlexW3092057890MaRDI QIDQ2209666
Publication date: 4 November 2020
Published in: Mathematical Problems in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2020/6096545
Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Computer-aided design (modeling of curves and surfaces) (65D17)
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Cites Work
- Complete characterization of the regions of \(C^2\) and \(C^3\) convergence of combined ternary 4-point subdivision schemes
- A combined approximating and interpolating subdivision scheme with \(C^2\) continuity
- On interpolatory subdivision from approximating subdivision scheme
- Polynomial reproduction by symmetric subdivision schemes
- Symmetric iterative interpolation processes
- A combined approximating and interpolating ternary 4-point subdivision scheme
- Family of \(a\)-point \(b\)-ary subdivision schemes with Bell-shaped mask
- A non-stationary combined subdivision scheme generating exponential polynomials
- Ternary shape-preserving subdivision schemes
- Polynomial reproduction for univariate subdivision schemes of any arity
- Subdivision schemes in geometric modelling
- Optimal Interpolatory Subdivision Schemes in Multidimensional Spaces
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