First order Hermite interpolation with spherical Pythagorean-hodograph curves

DOI10.1007/BF02831959zbMath1120.65017WikidataQ114233744 ScholiaQ114233744MaRDI QIDQ874327

Sunhong Lee, Gwang Il Kim, Jae Hoon Kong

Publication date: 5 April 2007

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

zbMATH Keywords

numerical resultsHermite interpolationspherical PH curves

Mathematics Subject Classification ID

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

Related Items (3)

Planar \(C^1\) Hermite interpolation with PH cuts of degree \((1,3)\) of Laurent series ⋮ \(C^1\) Hermite interpolation with PH curves using the Enneper surface ⋮ \(C^1\)-Hermite interpolation with simple planar PH curves by speed reparametrization

Uses Software

• Maple

Cites Work

• Unnamed Item
• Rational curves and surfaces with rational offsets
• Algebraic properties of plane offset curves
• Exact offset procedures for simple solids
• The approximation of non-degenerate offset surfaces
• Offset approximation of uniform B-splines
• The conformal map \(z\to z^ 2\) of the hodograph plane
• The elastic bending energy of Pythagorean-hodograph curves
• Medial axis transform and offset curves by Minkowski Pythagorean hodograph curves.
• Characterization and construction of helical polynomial space curves.
• Minkowski Pythagorean hodographs
• Hermite interpolation by rotation-invariant spatial Pythagorean-hodograph curves
• Euler-Rodrigues frames on spatial Pythagorean-hodograph curves.
• Geometry of root-related parameters of PH curves
• Rational approximation schemes for rotation-minimizing frames on Pythagorean-hodograph curves
• \(C^1\) Hermite interpolation using MPH quartic
• Analytic properties of plane offset curves
• Hermite Interpolation by Pythagorean Hodograph Quintics

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