Absolute hodograph winding number and planar PH quintic splines

DOI10.1016/J.CAGD.2007.12.007zbMath1172.65311OpenAlexW2095108763MaRDI QIDQ735469

Hyeong In Choi, Song-Hwa Kwon

Publication date: 22 October 2009

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

Full work available at URL: https://doi.org/10.1016/j.cagd.2007.12.007

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Computer science aspects of computer-aided design (68U07)

Related Items (6)

Rectifying control polygon for planar Pythagorean hodograph curves ⋮ A new selection scheme for spatial Pythagorean hodograph quintic Hermite interpolants ⋮ On control polygons of quartic Pythagorean-hodograph curves ⋮ Shape analysis of planar PH curves with the Gauss-Legendre control polygons ⋮ Deformation of spatial septic Pythagorean hodograph curves using Gauss-Legendre polygon ⋮ Gauss-Lobatto polygon of Pythagorean hodograph curves

Cites Work

• Unnamed Item
• Topological criterion for selection of quintic pythagorean-hodograph Hermite interpolants
• The conformal map \(z\to z^ 2\) of the hodograph plane
• The elastic bending energy of Pythagorean-hodograph curves
• Construction of \(C^ 2\) Pythagorean-hodograph interpolating splines by the homotopy method
• Hermite Interpolation by Pythagorean Hodograph Quintics
• Construction and shape analysis of PH quintic Hermite interpolants
• Efficient solution of the complex quadratic tridiagonal system for \(C^2\) PH quintic splines

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