A circle-preserving \(C^{2}\) Hermite interpolatory subdivision scheme with tension control

DOI10.1016/j.cagd.2009.08.006zbMath1210.65064OpenAlexW2122112607MaRDI QIDQ631001

Lucia Romani

Publication date: 22 March 2011

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10281/7666

zbMATH Keywords

numerical examplesrational interpolationcurve fittingtension controlcircle-preservingHermite subdivision

Mathematics Subject Classification ID

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

Related Items

Approximation order and approximate sum rules in subdivision, A shape preserving \(C^2\) non-linear, non-uniform, subdivision scheme with fourth-order accuracy, Vector subdivision schemes and their convergence for arbitrary matrix masks, Exponential splines and minimal-support bases for curve representation, Geometric Hermite interpolation in \(\mathbb{R}^n\) by refinements, An algebraic approach to polynomial reproduction of Hermite subdivision schemes, Dual Hermite subdivision schemes of de Rham-type, Factorization of Hermite subdivision operators preserving exponentials and polynomials, Convergence and normal continuity analysis of nonstationary subdivision schemes near extraordinary vertices and faces, Unnamed Item, An annihilator-based strategy for the automatic detection of exponential polynomial spaces in subdivision, A tetrahedron-based subdivision scheme for spatial \(G^1\) curves, Ellipse-preserving Hermite interpolation and subdivision, Convergence analysis of Hermite subdivision schemes of any arity, Non-oscillatory butterfly-type interpolation on triangular meshes, Convexity preserving interpolatory subdivision with conic precision

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A non-stationary uniform tension controlled interpolating 4-point scheme reproducing conics
• Scalar and Hermite subdivision schemes
• A family of Hermite interpolants by bisection algorithms
• On the regularity analysis of interpolatory Hermite subdivision schemes
• A non-linear circle-preserving subdivision scheme
• From approximating subdivision schemes for exponential splines to high-performance interpolating algorithms
• Rational continuity: parametric, geometric, and Frenet frame continuity of rational curves
• Interpolants d'HermiteC²obtenus par subdivision
• Fourier analysis of 2-point Hermite interpolatory subdivision schemes