Geometric characteristics of planar quintic Pythagorean-hodograph curves
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Publication:1675941
DOI10.1016/j.cam.2017.08.014zbMath1377.53004OpenAlexW2750996401MaRDI QIDQ1675941
Publication date: 3 November 2017
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2017.08.014
Related Items (8)
A new method to construct polynomial minimal surfaces ⋮ Classification of polynomial minimal surfaces ⋮ Algebraic and geometric characterizations of a class of algebraic-hyperbolic Pythagorean-hodograph curves ⋮ Interpolation of \(G^1\) Hermite data by \(C^1\) cubic-like sparse Pythagorean hodograph splines ⋮ Algebraic and geometric characterizations of a class of planar quartic curves with rational offsets ⋮ New algebraic and geometric characterizations of planar quintic Pythagorean-hodograph curves ⋮ Unnamed Item ⋮ Identification of two classes of planar septic Pythagorean hodograph curves
Cites Work
- Construction of \(G^2\) rounded corners with Pythagorean-hodograph curves
- Pythagorean-hodograph curves in Euclidean spaces of dimension greater than 3
- \(G^{1}\) Hermite interpolation by PH cubics revisited
- On control polygons of quartic Pythagorean-hodograph curves
- Rational Pythagorean-hodograph space curves
- Rational curves and surfaces with rational offsets
- \(G^2\) Pythagorean hodograph quintic transition between two circles with shape control
- \(C^1\)-Hermite interpolation with simple planar PH curves by speed reparametrization
- Identification of spatial PH quintic Hermite interpolants with near-optimal shape measures
- Pythagorean-hodograph curves. Algebra and geometry inseparable
- 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.
- Characterization and construction of helical polynomial space curves.
- Hermite interpolation by rotation-invariant spatial Pythagorean-hodograph curves
- Curve design with more general planar Pythagorean-hodograph quintic spiral segments
- Hermite interpolation by Pythagorean hodograph curves of degree seven
- Hermite Interpolation by Pythagorean Hodograph Quintics
- Interpolation by $G^2$ Quintic Pythagorean-Hodograph Curves
- Construction and shape analysis of PH quintic Hermite interpolants
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