Algebraic and geometric characterizations of a class of algebraic-hyperbolic Pythagorean-hodograph curves
From MaRDI portal
Publication:2168850
DOI10.1016/j.cagd.2022.102121zbMath1497.65088OpenAlexW4283376928WikidataQ114202278 ScholiaQ114202278MaRDI QIDQ2168850
Publication date: 26 August 2022
Published in: Computer Aided Geometric Design (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cagd.2022.102121
Hermite interpolationgeometric constructiongeometric continuityPythagorean-hodograph curvealgebraic-hyperbolic curve
Computer-aided design (modeling of curves and surfaces) (65D17) Numerical algebraic geometry (65H14)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Construction of PH splines based on H-Bézier curves
- Construction of \(G^2\) rounded corners with Pythagorean-hodograph curves
- Pythagorean-hodograph curves in Euclidean spaces of dimension greater than 3
- Algebraic-trigonometric Pythagorean-hodograph curves and their use for Hermite interpolation
- \(G^{1}\) 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
- Preface: Pythagorean-hodograph curves and related topics
- \(C^1\)-Hermite interpolation with simple planar PH curves by speed reparametrization
- On control polygons of Pythagorean hodograph septic curves
- Pythagorean-hodograph curves. Algebra and geometry inseparable
- Geometric Hermite interpolation with Tschirnhausen cubics
- An overview of offset curves and surfaces.
- Variable-feedrate CNC interpolators for constant material removal rates along Pythagorean-hodograph curves.
- Minkowski Pythagorean hodographs
- Hermite interpolation by rotation-invariant spatial Pythagorean-hodograph curves
- Geometric characteristics of planar quintic Pythagorean-hodograph curves
- Planar Pythagorean-hodograph B-spline curves
- Identification of two classes of planar septic Pythagorean hodograph curves
- Characterization and extensive study of cubic and quintic algebraic trigonometric planar PH curves
- Classification of planar Pythagorean hodograph curves
- Spatial Pythagorean-hodograph B-spline curves and 3D point data interpolation
- Identification and ``reverse engineering of Pythagorean-hodograph curves
- Algebraic-trigonometric Pythagorean-hodograph space curves
- Hermite interpolation by Pythagorean hodograph curves of degree seven
- Hermite Interpolation by Pythagorean Hodograph Quintics
- Construction and shape analysis of PH quintic Hermite interpolants
This page was built for publication: Algebraic and geometric characterizations of a class of algebraic-hyperbolic Pythagorean-hodograph curves