\((2n - 1)\)-point ternary approximating and interpolating subdivision schemes

DOI10.1155/2011/832630zbMath1235.65011OpenAlexW2042050340WikidataQ58690541 ScholiaQ58690541MaRDI QIDQ410843

J. Herrera, H. S. Yoon

Publication date: 4 April 2012

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/832630

Mathematics Subject Classification ID

Numerical interpolation (65D05) Algorithms for approximation of functions (65D15) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items

Subdivision schemes based collocation algorithms for solution of fourth order boundary value problems, Odd-ary approximating subdivision schemes and RS strategy for irregular dense initial data, Family of \(a\)-ary univariate subdivision schemes generated by Laurent polynomial, Numerical solution of two-point boundary value problems by interpolating subdivision schemes, A family of univariate ternary subdivision schemes with 5 parameters, Statistical and geometrical way of model selection for a family of subdivision schemes, A new class of odd-point ternary non-stationary approximating schemes, A six-point variant on the Lane-Riesenfeld algorithm

Cites Work

• The mask of (\(2b + 4\))-point \(n\)-ary subdivision scheme
• An interpolating 4-point \(C^{2}\) ternary non-stationary subdivision scheme with tension control
• Modified form of binary and ternary 3-point subdivision schemes
• A new 4-point \(C^{3}\) quaternary approximating subdivision scheme
• Symmetric iterative interpolation processes
• Ternary six-point interpolating subdivision scheme
• A ternary 4-point approximating subdivision scheme
• An interpolating 4-point \(C^2\) ternary stationary subdivision scheme
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