A constructive algebraic strategy for interpolatory subdivision schemes induced by bivariate box splines
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Publication:360471
DOI10.1007/S10444-012-9285-9zbMath1276.65006OpenAlexW2107430952MaRDI QIDQ360471
Luca Gemignani, Lucia Romani, Constanza Conti
Publication date: 27 August 2013
Published in: Advances in Computational Mathematics (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10281/44291
Numerical computation using splines (65D07) Numerical interpolation (65D05) Computer-aided design (modeling of curves and surfaces) (65D17)
Related Items (7)
Families of univariate and bivariate subdivision schemes originated from quartic B-spline ⋮ Non-uniform interpolatory subdivision surface ⋮ Six-point subdivision schemes with cubic precision ⋮ Symmetric four-directional bivariate pseudo-spline symbols ⋮ Dual univariate \(m\)-ary subdivision schemes of de Rham-type ⋮ Interpolatory subdivision schemes with the optimal approximation order ⋮ Nonstationary interpolatory subdivision schemes reproducing high-order exponential polynomials
Cites Work
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- Scalar multivariate subdivision schemes and box splines
- Algebraic conditions on non-stationary subdivision symbols for exponential polynomial reproduction
- From approximating to interpolatory non-stationary subdivision schemes with the same generation properties
- Vector multivariate subdivision schemes: comparison of spectral methods for their regularity analysis
- From symmetric subdivision masks of Hurwitz type to interpolatory subdivision masks
- Multivariate refinable functions, differences and ideals -- a simple tutorial
- Interpolatory subdivision schemes induced by box splines
- Regularity of multivariate vector subdivision schemes
- Subdivision schemes in \(L_ p\) spaces
- Polynomial reproduction for univariate subdivision schemes of any arity
- On Bivariate Interpolatory Mask Symbols, Subdivision and Refinable Functions
- A butterfly subdivision scheme for surface interpolation with tension control
- Subdivision schemes in geometric modelling
- Stationary subdivision
- Multivariate Refinement Equations and Convergence of Subdivision Schemes
- Stability and Orthonormality of Multivariate Refinable Functions
- Multidimensional Interpolatory Subdivision Schemes
- Multivariate Compactly Supported Fundamental Refinable Functions, Duals, and Biorthogonal Wavelets
- Algorithms in real algebraic geometry
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