Shape controlled interpolatory ternary subdivision

DOI10.1016/j.amc.2009.06.014zbMath1179.65023OpenAlexW2085351012MaRDI QIDQ734841

Lucia Romani, Carolina Vittoria Beccari, Giulio Casciola

Publication date: 14 October 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.06.014

zbMATH Keywords

interpolationconic sectiontension controlnon-stationarycombined subdivision schemeunivariate ternary refinement

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Numerical interpolation (65D05)

Related Items (20)

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 ⋮ Exponential splines and minimal-support bases for curve representation ⋮ Analysis of a 6-point binary subdivision scheme ⋮ Exponential polynomial reproducing property of non-stationary symmetric subdivision schemes and normalized exponential B-splines ⋮ A family of even-point ternary approximating schemes ⋮ A combined approximating and interpolating ternary 4-point subdivision scheme ⋮ Non-uniform interpolatory curve subdivision with edge parameters built upon compactly supported fundamental splines ⋮ A new non-stationary binary 6-point subdivision scheme ⋮ Family of \(a\)-point \(b\)-ary subdivision schemes with Bell-shaped mask ⋮ Ternary shape-preserving subdivision schemes ⋮ Reproduction of exponential polynomials by multivariate non-stationary subdivision schemes with a general dilation matrix ⋮ On the interpolating 5-point ternary subdivision scheme: a revised proof of convexity-preservation and an application-oriented extension ⋮ A unified framework for interpolating and approximating univariate subdivision ⋮ Polynomial-based non-uniform interpolatory subdivision with features control ⋮ An annihilator-based strategy for the automatic detection of exponential polynomial spaces in subdivision ⋮ A combined approximating and interpolating subdivision scheme with \(C^2\) continuity ⋮ Interpolating \(m\)-refinable functions with compact support: the second generation class ⋮ Convexity preserving interpolatory subdivision with conic precision

Cites Work

• Variations on the four-point subdivision scheme
• A non-stationary uniform tension controlled interpolating 4-point scheme reproducing conics
• An interpolating 4-point \(C^{2}\) ternary non-stationary subdivision scheme with tension control
• Symmetric iterative interpolation processes
• Exponentials reproducing subdivision schemes
• Interpolation through an iterative scheme
• Analysis of asymptotically equivalent binary subdivision schemes
• Ternary univariate curvature-preserving subdivision
• A non-linear circle-preserving subdivision scheme
• Unifying C-curves and H-curves by extending the calculation to complex numbers
• Extending cubic uniform B-splines by unified trigonometric and hyperbolic basis
• Nonstationary Subdivision Schemes and Multiresolution Analysis
• A subdivision scheme for surfaces of revolution
• An interpolating 4-point \(C^2\) ternary stationary subdivision scheme
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