A new paradigm to design a class of combined ternary subdivision schemes

DOI10.1155/2021/6679201zbMath1477.65042OpenAlexW3130605487MaRDI QIDQ2034972

Rabia Hameed, Ghulam Mustafa, Humaira Mustanira Tariq

Publication date: 23 June 2021

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

Full work available at URL: https://doi.org/10.1155/2021/6679201

Mathematics Subject Classification ID

Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (1)

A family of integer-point ternary parametric subdivision schemes

Uses Software

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Cites Work

• A combined ternary 4-point subdivision scheme
• An interpolating 4-point \(C^{2}\) ternary non-stationary subdivision scheme with tension control
• A 4-point interpolatory subdivision scheme for curve design
• Symmetric iterative interpolation processes
• Analysis of the Gibbs phenomenon in stationary subdivision schemes
• Families of univariate and bivariate subdivision schemes originated from quartic B-spline
• A combined approximating and interpolating ternary 4-point subdivision scheme
• Construction of \(m\)-point binary approximating subdivision schemes
• Ternary shape-preserving subdivision schemes
• Construction and analysis of binary subdivision schemes for curves and surfaces originated from Chaikin points
• Simple Regularity Criteria for Subdivision Schemes
• On the Gibbs Phenomenon and Its Resolution
• Generalized and Unified Families of Interpolating Subdivision Schemes
• An interpolating 4-point \(C^2\) ternary stationary subdivision scheme

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