Optimal $C^2$ two-dimensional interpolatory ternary subdivision schemes with two-ring stencils
DOI10.1090/S0025-5718-06-01821-7zbMath1103.42018OpenAlexW1965444722MaRDI QIDQ5470053
Publication date: 29 May 2006
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0025-5718-06-01821-7
projection methodjoint spectral radiusinterpolatory subdivision schemesHölder smoothnessternary subdivision schemes
Numerical interpolation (65D05) Multidimensional problems (41A63) Interpolation in approximation theory (41A05) Computer-aided design (modeling of curves and surfaces) (65D17) Other transformations of harmonic type (42C20)
Related Items (4)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Symmetry property and construction of wavelets with a general dilation matrix
- The \(p\)-norm joint spectral radius for even integers
- Regularity of multiwavelets
- \(\sqrt 3\)-subdivision schemes: Maximal sum rule orders
- Vector cascade algorithms and refinable function vectors in Sobolev spaces
- Convergence of vector subdivision schemes in Sobolev spaces
- Interpolation through an iterative scheme
- Projectable multivariate refinable functions and biorthogonal wavelets.
- Subdivision schemes in \(L_ p\) spaces
- Quincunx fundamental refinable functions and quincunx biorthogonal wavelets
- A butterfly subdivision scheme for surface interpolation with tension control
- Subdivision schemes in geometric modelling
- Stationary subdivision
- Two-Scale Difference Equations. I. Existence and Global Regularity of Solutions
- Multivariate Refinement Equations and Convergence of Subdivision Schemes
- Optimal Interpolatory Subdivision Schemes in Multidimensional Spaces
- Multidimensional Interpolatory Subdivision Schemes
- Approximation properties of multivariate wavelets
- Computing the Smoothness Exponent of a Symmetric Multivariate Refinable Function
- Smoothness of Multiple Refinable Functions and Multiple Wavelets
- Analysis and Construction of Optimal Multivariate Biorthogonal Wavelets with Compact Support
- 4--8 Subdivision
- An interpolating 4-point \(C^2\) ternary stationary subdivision scheme
This page was built for publication: Optimal $C^2$ two-dimensional interpolatory ternary subdivision schemes with two-ring stencils