On the interpolating 5-point ternary subdivision scheme: a revised proof of convexity-preservation and an application-oriented extension
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Publication:1997074
DOI10.1016/j.matcom.2016.09.012OpenAlexW2530438113MaRDI QIDQ1997074
Publication date: 1 March 2021
Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matcom.2016.09.012
convexity preservationinterpolating subdivisionconic precisionpiecewise-uniform schemeternary refinement
Related Items (6)
\(C^1\) sign, monotonicity and convexity preserving Hermite polynomial splines of variable degree ⋮ A shape preserving \(C^2\) non-linear, non-uniform, subdivision scheme with fourth-order accuracy ⋮ A non-stationary combined ternary 5-point subdivision scheme with \(C^4\) continuity ⋮ Construction of a family of non-stationary combined ternary subdivision schemes reproducing exponential polynomials ⋮ Cubic polynomial and cubic rational \(C^1\) sign, monotonicity and convexity preserving Hermite interpolation ⋮ Gibbs phenomenon for \(p\)-ary subdivision schemes
Cites Work
- Convexity preservation of five-point binary subdivision scheme with a parameter
- Approximation order and approximate sum rules in subdivision
- Analysis of a 6-point binary subdivision scheme
- Convexity preservation of the interpolating four-point \(C^{2}\) ternary stationary subdivision scheme
- Shape controlled interpolatory ternary subdivision
- A 4-point interpolatory subdivision scheme for curve design
- Convexity preserving interpolatory subdivision schemes
- Shape preserving interpolatory subdivision schemes for nonuniform data
- Convexity preservation of the four-point interpolatory subdivision scheme
- Analysis of asymptotically equivalent binary subdivision schemes
- The mask of odd points \(n\)-ary interpolating subdivision scheme
- Reproduction of exponential polynomials by multivariate non-stationary subdivision schemes with a general dilation matrix
- Convexity preserving interpolatory subdivision with conic precision
- Polynomial reproduction for univariate subdivision schemes of any arity
- A new four-point shape-preserving \(C^3\) subdivision scheme
- Proving convexity preserving properties of interpolatory subdivision schemes through reconstruction operators
- Error bounds for a convexity-preserving interpolation and its limit function
- An interpolating 4-point \(C^2\) ternary stationary subdivision scheme
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