Four-point curve subdivision based on iterated chordal and centripetal parameterizations

DOI10.1016/j.cagd.2008.09.006zbMath1205.65077OpenAlexW2015956010MaRDI QIDQ625180

Kai Hormann, Michael S. Floater, N. Richter-Dyn

Publication date: 15 February 2011

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

Full work available at URL: https://doi.org/10.1016/j.cagd.2008.09.006

zbMATH Keywords

centripetal curve parameterizationchordal curve parameterizationcubic Lagrange interpolationnon-linear interpolatory subdivision

Mathematics Subject Classification ID

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

Related Items (18)

Non-uniform interpolatory subdivision schemes with improved smoothness ⋮ On the Geometry and Kinematics of Smoothly Distributed and Singular Defects ⋮ A smoothness criterion for monotonicity-preserving subdivision ⋮ Bivariate non-uniform subdivision schemes based on L-systems ⋮ Non-uniform interpolatory subdivision surface ⋮ Hölder regularity of geometric subdivision schemes ⋮ Variations on the four-point subdivision scheme ⋮ A piecewise polynomial approach to analyzing interpolatory subdivision ⋮ Geometric conditions for tangent continuity of interpolatory planar subdivision curves ⋮ The approximation order of four-point interpolatory curve subdivision ⋮ Non-uniform interpolatory curve subdivision with edge parameters built upon compactly supported fundamental splines ⋮ A formula for estimating the deviation of a binary interpolatory subdivision curve from its data polygon ⋮ Convergence of geometric subdivision schemes ⋮ Polynomial-based non-uniform interpolatory subdivision with features control ⋮ A tetrahedron-based subdivision scheme for spatial \(G^1\) curves ⋮ Clothoid fitting and geometric Hermite subdivision ⋮ Curve subdivision with arc-length control ⋮ Convexity preserving interpolatory subdivision with conic precision

Cites Work

• Unnamed Item
• On the deviation of a parametric cubic spline interpolant from its data polygon
• Choosing nodes in parametric curve interpolation
• Regularity of irregular subdivision
• Interpolation through an iterative scheme
• Convergence and \(C^1\) analysis of subdivision schemes on manifolds by proximity
• Parameterization for Curve Interpolation

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