A class of nonlinear four-point subdivision schemes
From MaRDI portal
Publication:695651
DOI10.1007/s10444-011-9199-yzbMath1259.41004OpenAlexW136284106MaRDI QIDQ695651
Allal Guessab, Gerhard Schmeisser, María Moncayo
Publication date: 21 December 2012
Published in: Advances in Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10444-011-9199-y
Related Items (11)
On some Volterra-Fredholm and Hermite-Hadamard-type fractional integral inequalities ⋮ A new family of means: the generalized weighted power means and applications ⋮ A regularization-correction approach for adapting subdivision schemes to the presence of discontinuities ⋮ A new B-spline type approximation method for non-smooth functions ⋮ On a family of non-oscillatory subdivision schemes having regularity \(C^r\) with \(r > 1\) ⋮ Third-order accurate monotone cubic Hermite interpolants ⋮ Improving the stability bound for the PPH nonlinear subdivision scheme for data coming from strictly convex functions ⋮ On a class of three points cell-average multiresolution schemes ⋮ On new general versions of Hermite-Hadamard type integral inequalities via fractional integral operators with Mittag-Leffler kernel ⋮ On the use of generalized harmonic means in image processing using multiresolution algorithms ⋮ On the application of Lehmer means in signal and image processing
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonlinear subdivision through nonlinear averaging
- Stability of nonlinear subdivision and multiscale transforms
- Approximation order from stability for nonlinear subdivision schemes
- A 4-point interpolatory subdivision scheme for curve design
- Convexity preserving interpolatory subdivision schemes
- Quasilinear subdivision schemes with applications to ENO interpolation.
- Power ENO methods: A fifth-order accurate weighted power ENO method.
- On the stability of the PPH nonlinear multiresolution
- Normal multiresolution approximation of curves
- Analysis of a class of nonlinear subdivision schemes and associated multiresolution transforms
- Error bounds for a convexity-preserving interpolation and its limit function
- Analysis of a new nonlinear subdivision scheme. Applications in image processing
- Smoothness analysis of nonlinear subdivision schemes of homogeneous and affine invariant type
- Smooth functions
- Univariate subdivision and multi-scale transforms: The nonlinear case
This page was built for publication: A class of nonlinear four-point subdivision schemes
