Geometry of root-related parameters of PH curves

DOI10.1016/S0893-9659(02)00143-XzbMath1021.65004OpenAlexW2023526451MaRDI QIDQ1861855

Chung-Nim Lee, Min-Ho Ahn, Gwang Il Kim

Publication date: 10 March 2003

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0893-9659(02)00143-x

zbMATH Keywords

numerical examplesHermite interpolationPythagorean hodograph curve

Mathematics Subject Classification ID

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

Related Items (4)

First order Hermite interpolation with spherical Pythagorean-hodograph curves ⋮ Classification of planar Pythagorean hodograph curves ⋮ Low Degree Euclidean and Minkowski Pythagorean Hodograph Curves ⋮ $C^2$ Hermite interpolation by Pythagorean Hodograph space curves

Cites Work

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• The conformal map \(z\to z^ 2\) of the hodograph plane
• The elastic bending energy of Pythagorean-hodograph curves
• Computing rational parametrizations of canal surfaces
• Medial axis transform and offset curves by Minkowski Pythagorean hodograph curves.
• Variable-feedrate CNC interpolators for constant material removal rates along Pythagorean-hodograph curves.
• Minkowski Pythagorean hodographs
• Retracted: Characterization of Pythagorean curves and Pythagoreanization using a rational transform
• Hermite Interpolation by Pythagorean Hodograph Quintics

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