Construction of $G^2$ spatial interpolants with prescribed arc lengths

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Curves in Euclidean and related spaces (53A04) Computer-aided design (modeling of curves and surfaces) (65D17)

Cites Work

Unnamed Item
Rational rotation-minimizing frames -- recent advances and open problems
$C^{1}$ and $C^{2}$ interpolation of orientation data along spatial Pythagorean-hodograph curves using rational adapted spline frames
$G^{1}$ motion interpolation using cubic PH biarcs with prescribed length
Real-time CNC interpolators for Pythagorean-hodograph curves
Pythagorean-hodograph curves. Algebra and geometry inseparable
Clifford algebra, spin representation, and rational parameterization of curves and surfaces
Hermite interpolation by rotation-invariant spatial Pythagorean-hodograph curves
Construction of $G^1$ planar Hermite interpolants with prescribed arc lengths
Rational frames of minimal twist along space curves under specified boundary conditions
Rational minimal-twist motions on curves with rotation-minimizing Euler-Rodrigues frames
Motion design with Euler-Rodrigues frames of quintic Pythagorean-hodograph curves
Euler-Rodrigues frames on spatial Pythagorean-hodograph curves.
$C^1$ rational interpolation of spherical motions with rational rotation-minimizing directed frames
Existence of Pythagorean-hodograph quintic interpolants to spatial $G^1$ Hermite data with prescribed arc lengths
Geometric interpolation of ER frames with $G^2$ Pythagorean-hodograph curves of degree 7
Construction of $G^2$ planar Hermite interpolants with prescribed arc lengths
Interpolation of planar $G^1$ data by Pythagorean-hodograph cubic biarcs with prescribed arc lengths
Approximation of monotone clothoid segments by degree 7 Pythagorean-hodograph curves
$C^1$ interpolation by rational biarcs with rational rotation minimizing directed frames
Rotation-minimizing osculating frames
Spatial $C^2$ closed-loops of prescribed arc length defined by Pythagorean-hodograph curves
$C^2$ Hermite interpolation by Pythagorean Hodograph space curves
There is More than One Way to Frame a Curve
Design of rational rotation–minimizing rigid body motions by Hermite interpolation
Optimal interpolation with spatial rational Pythagorean hodograph curves

This page was built for publication: Construction of $G^2$ spatial interpolants with prescribed arc lengths

Construction of \(G^2\) spatial interpolants with prescribed arc lengths