Hermite interpolation by Pythagorean hodograph curves of degree seven
From MaRDI portal
Publication:2719067
DOI10.1090/S0025-5718-00-01288-6zbMath0963.68210MaRDI QIDQ2719067
Publication date: 14 May 2001
Published in: Mathematics of Computation (Search for Journal in Brave)
Computer science aspects of computer-aided design (68U07) Curves in Euclidean and related spaces (53A04) Computer-aided design (modeling of curves and surfaces) (65D17)
Related Items (50)
Planar \(C^1\) Hermite interpolation with PH cuts of degree \((1,3)\) of Laurent series ⋮ Construction of \(G^2\) planar Hermite interpolants with prescribed arc lengths ⋮ A note on Pythagorean hodograph quartic spiral ⋮ Classification of polynomial minimal surfaces ⋮ \(C^2\) Hermite interpolation by Pythagorean-hodograph quintic triarcs ⋮ Algebraic and geometric characterizations of a class of algebraic-hyperbolic Pythagorean-hodograph curves ⋮ \(G^1\) Hermite interpolation method for spatial PH curves with PH planar projections ⋮ Geometric characteristics of planar quintic Pythagorean-hodograph curves ⋮ Sparse Pythagorean hodograph curves ⋮ Identification and ``reverse engineering of Pythagorean-hodograph curves ⋮ Interpolation of \(G^1\) Hermite data by \(C^1\) cubic-like sparse Pythagorean hodograph splines ⋮ Classification of planar Pythagorean hodograph curves ⋮ Construction of planar quintic Pythagorean-hodograph curves by control-polygon constraints ⋮ Arc length preserving \(G^2\) Hermite interpolation of circular arcs ⋮ \(G^{1}\) Hermite interpolation by PH cubics revisited ⋮ Interactive design of cubic IPH spline curves ⋮ On control polygons of Pythagorean hodograph septic curves ⋮ Hermite interpolation using Möbius transformations of planar Pythagorean-hodograph cubics ⋮ Approximation of monotone clothoid segments by degree 7 Pythagorean-hodograph curves ⋮ Hermite interpolation by hypocycloids and epicycloids with rational offsets ⋮ Rational Pythagorean-hodograph space curves ⋮ Characterization and construction of helical polynomial space curves. ⋮ Unnamed Item ⋮ Design of rational rotation–minimizing rigid body motions by Hermite interpolation ⋮ \( G^2 \slash C^1\) Hermite interpolation by planar PH B-spline curves with shape parameter ⋮ Identification of two classes of planar septic Pythagorean hodograph curves ⋮ An approach to geometric interpolation by Pythagorean-hodograph curves ⋮ On interpolation by Planar cubic $G^2$ pythagorean-hodograph spline curves ⋮ Deformation of spatial septic Pythagorean hodograph curves using Gauss-Legendre polygon ⋮ Gauss-Lobatto polygon of Pythagorean hodograph curves ⋮ Construction and shape analysis of PH quintic Hermite interpolants ⋮ Geometric Hermite interpolation by spatial Pythagorean-hodograph cubics ⋮ Reparameterization of Curves and Surfaces with Respect to Their Convolution ⋮ Low Degree Euclidean and Minkowski Pythagorean Hodograph Curves ⋮ Design of \(C^2\) algebraic-trigonometric Pythagorean hodograph splines with shape parameters ⋮ A control polygon scheme for design of planar \(C^2\) PH quintic spline curves ⋮ A geometric product formulation for spatial pythagorean hodograph curves with applications to Hermite interpolation ⋮ Evolution-based least-squares fitting using Pythagorean hodograph spline curves ⋮ Streaming Hermite interpolation using cubic splinelets ⋮ \(C^1\)-Hermite interpolation with simple planar PH curves by speed reparametrization ⋮ Weierstrass-type approximation theorems with Pythagorean hodograph curves ⋮ On quadratic two-parameter families of spheres and their envelopes ⋮ Topological criterion for selection of quintic pythagorean-hodograph Hermite interpolants ⋮ Geometric Lagrange interpolation by planar cubic Pythagorean-hodograph curves ⋮ PN surfaces and their convolutions with rational surfaces ⋮ Planar projections of spatial Pythagorean-hodograph curves ⋮ A new method to design cubic Pythagorean-hodograph spline curves with control polygon ⋮ Euclidean and Minkowski Pythagorean hodograph curves over planar cubics ⋮ Euler-Rodrigues frames on spatial Pythagorean-hodograph curves. ⋮ $C^2$ Hermite interpolation by Pythagorean Hodograph space curves
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Real-time CNC interpolators for Pythagorean-hodograph curves
- High accuracy geometric Hermite interpolation
- G\(^{2}\) curves composed of planar cubic and Pythagorean hodograph quintic spirals
- Real rational curves are not `unit speed'
- Bergman-Vekua theory in differential form
- Contour machining of free-form surfaces with real-time PH curve CNC interpolators
- Geometric Hermite interpolation with Tschirnhausen cubics
- The 42 equivalence classes of quadratic surfaces in affine \(n\)-space
- Construction of \(C^ 2\) Pythagorean-hodograph interpolating splines by the homotopy method
- Curve design with rational Pythagorean-hodograph curves
- Hermite Interpolation by Pythagorean Hodograph Quintics
- Pythagorean Triples in Uniquef Factorization Domains
- A general framework for high-accuracy parametric interpolation
This page was built for publication: Hermite interpolation by Pythagorean hodograph curves of degree seven