Low Degree Euclidean and Minkowski Pythagorean Hodograph Curves
From MaRDI portal
Publication:5189432
DOI10.1007/978-3-642-11620-9_26zbMath1274.65024OpenAlexW1514655470MaRDI QIDQ5189432
Publication date: 16 March 2010
Published in: Mathematical Methods for Curves and Surfaces (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-642-11620-9_26
Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Computer-aided design (modeling of curves and surfaces) (65D17)
Related Items (5)
Classification of planar Pythagorean hodograph curves ⋮ New algebraic and geometric characterizations of planar quintic Pythagorean-hodograph curves ⋮ On rational Minkowski Pythagorean hodograph curves ⋮ A unified Pythagorean hodograph approach to the medial axis transform and offset approximation ⋮ B-spline Pythagorean hodograph curves in Clifford algebras
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An algebraic approach to curves and surfaces on the sphere and on other quadrics
- \(G^2\) curve design with a pair of pythagorean hodograph quintic spiral segments
- Evolution-based least-squares fitting using Pythagorean hodograph spline curves
- Pythagorean-hodograph curves. Algebra and geometry inseparable
- \(C^{1}\) Hermite interpolation by Pythagorean hodograph quintics in Minkowski space
- Design of rational cam profiles with Pythagorean-hodograph curves.
- The conformal map \(z\to z^ 2\) of the hodograph plane
- Geometric Hermite interpolation with Tschirnhausen cubics
- Medial axis transform and offset curves by Minkowski Pythagorean hodograph curves.
- Cubic Pythagorean hodograph spline curves and applications to sweep surface modeling.
- Clifford algebra, spin representation, and rational parameterization of curves and surfaces
- Applications of Laguerre geometry in CAGD
- 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
- Pythagorean-hodograph space curves
- \(C^1\) Hermite interpolation using MPH quartic
- Clifford algebra, Lorentzian geometry, and rational parametrization of canal surfaces
- \(G^{1}\) Hermite interpolation by Minkowski Pythagorean hodograph cubics
- Euclidean and Minkowski Pythagorean hodograph curves over planar cubics
- Hermite interpolation by Pythagorean hodograph curves of degree seven
- $C^2$ Hermite interpolation by Pythagorean Hodograph space curves
- Hermite Interpolation by Pythagorean Hodograph Quintics
- Pythagorean Triples in Uniquef Factorization Domains
- Construction and shape analysis of PH quintic Hermite interpolants
This page was built for publication: Low Degree Euclidean and Minkowski Pythagorean Hodograph Curves