Construction of planar quintic Pythagorean-hodograph curves by control-polygon constraints
From MaRDI portal
Publication:6098159
DOI10.1016/j.cagd.2023.102192zbMath1528.65015MaRDI QIDQ6098159
Rida T. Farouki, Francesca Pelosi, Maria Lucia Sampoli
Publication date: 12 June 2023
Published in: Computer Aided Geometric Design (Search for Journal in Brave)
complex polynomialPythagorean-hodograph curvecontrol-polygon constraintsquadratic and quartic equations
Related Items
Cites Work
- A control polygon scheme for design of planar \(C^2\) PH quintic spline curves
- Pythagorean-hodograph curves. Algebra and geometry inseparable
- \(C^{1}\) Hermite interpolation by Pythagorean hodograph quintics in Minkowski space
- The conformal map \(z\to z^ 2\) of the hodograph plane
- Hermite interpolation by rotation-invariant spatial Pythagorean-hodograph curves
- Construction of \(G^1\) planar Hermite interpolants with prescribed arc lengths
- Pythagorean-hodograph space curves
- Curve design with rational Pythagorean-hodograph curves
- Existence of Pythagorean-hodograph quintic interpolants to spatial \(G^1\) Hermite data with prescribed arc lengths
- Gauss-Lobatto polygon of Pythagorean hodograph curves
- Controlling extremal Pythagorean hodograph curves by Gauss-Legendre polygons
- New developments in theory, algorithms, and applications for Pythagorean-hodograph curves
- Rectifying control polygon for planar Pythagorean hodograph curves
- Curve design with more general planar Pythagorean-hodograph quintic spiral segments
- Hermite interpolation by Pythagorean hodograph curves of degree seven
- $C^2$ Hermite interpolation by Pythagorean Hodograph space curves
- On interpolation by Planar cubic $G^2$ pythagorean-hodograph spline curves
- Hermite Interpolation by Pythagorean Hodograph Quintics
- Interpolation by $G^2$ Quintic Pythagorean-Hodograph Curves
- Construction and shape analysis of PH quintic Hermite interpolants
- Efficient solution of the complex quadratic tridiagonal system for \(C^2\) PH quintic splines
