Matching admissible \(G^2\) Hermite data by a biarc-based subdivision scheme

DOI10.1016/j.cagd.2012.03.010zbMath1256.65014OpenAlexW2094826728MaRDI QIDQ448992

Chongyang Deng, Weiyin Ma

Publication date: 11 September 2012

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

Full work available at URL: https://doi.org/10.1016/j.cagd.2012.03.010

zbMATH Keywords

numerical examplesshape preservingnonlinear subdivision schemespiraladmissible \(G^2\) Hermite interpolationgeometry driven subdivisionmonotone curvature

Mathematics Subject Classification ID

Computer science aspects of computer-aided design (68U07) Numerical interpolation (65D05) Computer-aided design (modeling of curves and surfaces) (65D17) Descriptive geometry (51N05)

Related Items (3)

A biarc based subdivision scheme for space curve interpolation ⋮ Planar quintic \(G^2\) Hermite interpolation with minimum strain energy ⋮ On the \(G^2\) Hermite interpolation problem with clothoids

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Geometric conditions for tangent continuity of interpolatory planar subdivision curves
• An involute spiral that matches \(G^{2}\) Hermite data in the plane
• Incenter subdivision scheme for curve interpolation
• A generalisation of the Pythagorean hodograph quintic spiral
• \(G^2\) Pythagorean hodograph quintic transition between two circles with shape control
• \(G^2\) curve design with a pair of pythagorean hodograph quintic spiral segments
• A 4-point interpolatory subdivision scheme for curve design
• Interpolatory convexity-preserving subdivision schemes for curves and surfaces
• A shape controled fitting method for Bézier curves
• Spiral arc spline approximation to a planar spiral
• Designing Bézier conic segments with monotone curvature
• Planar spirals that match \(G^2\) Hermite data
• Nonlinear subdivision using local spherical coordinates
• Interpolation with cubic spirals
• Normal based subdivision scheme for curve design
• Clothoid Spline Transition Spirals
• Planar \(G^2\) transition with a fair Pythagorean hodograph quintic curve
• An interpolating 4-point \(C^2\) ternary stationary subdivision scheme

This page was built for publication: Matching admissible \(G^2\) Hermite data by a biarc-based subdivision scheme