A geometric product formulation for spatial pythagorean hodograph curves with applications to Hermite interpolation
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Publication:733412
DOI10.1016/j.cagd.2007.01.002zbMath1171.65348OpenAlexW2035204058WikidataQ114202408 ScholiaQ114202408MaRDI QIDQ733412
Christian B. U. Perwass, Lyle Noakes, Rida T. Farouki
Publication date: 16 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.2007.01.002
Curves in Euclidean and related spaces (53A04) Computer-aided design (modeling of curves and surfaces) (65D17)
Related Items (5)
Helical polynomial curves and double Pythagorean hodographs. I: Quaternion and Hopf map representations ⋮ Controlling extremal Pythagorean hodograph curves by Gauss-Legendre polygons ⋮ Geometric Hermite interpolation by monotone helical quintics ⋮ Identification of spatial PH quintic Hermite interpolants with near-optimal shape measures ⋮ Weierstrass-type approximation theorems with Pythagorean hodograph curves
Cites Work
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- Real-time CNC interpolators for Pythagorean-hodograph curves
- An algebraic approach to curves and surfaces on the sphere and on other quadrics
- Clifford algebra to geometric calculus. A unified language for mathematics and physics
- The conformal map \(z\to z^ 2\) of the hodograph plane
- The elastic bending energy of Pythagorean-hodograph curves
- Variable-feedrate CNC interpolators for constant material removal rates along Pythagorean-hodograph curves.
- Clifford algebra, spin representation, and rational parameterization of curves and surfaces
- Minkowski Pythagorean hodographs
- Hermite interpolation by rotation-invariant spatial Pythagorean-hodograph curves
- Construction of \(C^ 2\) Pythagorean-hodograph interpolating splines by the homotopy method
- Euler-Rodrigues frames on spatial Pythagorean-hodograph curves.
- Pythagorean-hodograph space curves
- Rational approximation schemes for rotation-minimizing frames on Pythagorean-hodograph curves
- Hermite interpolation by Pythagorean hodograph curves of degree seven
- Exact rotation-minimizing frames for spatial Pythagorean-hodograph curves
- Hermite Interpolation by Pythagorean Hodograph Quintics
- Construction and shape analysis of PH quintic Hermite interpolants
- Performance analysis of CNC interpolators for time-dependent feedrates along PH curves
- Efficient solution of the complex quadratic tridiagonal system for \(C^2\) PH quintic splines
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