Geometric Hermite interpolation
Computer Aided Geometric Design
Geometric Hermite interpolation with maximal order and smoothness
Computer Aided Geometric Design
On the local existence of the quadratic geometric Hermite interpolant
Computer Aided Geometric Design
High accuracy geometric Hermite interpolation
Computer Aided Geometric Design
Planar C2 cubic spline interpolation under geometric boundary conditions
Computer Aided Geometric Design
Hermite interpolation of space curves using the symmetric algebra
Computer Aided Geometric Design
A parametric quartic spline interpolant to position, tangent and curvature
Computing - Geometric modelling dagstuhl 2002
Hermite interpolation of space curves using the symmetric algebra
Computer Aided Geometric Design
Certified approximation of parametric space curves with cubic B-spline curves
Computer Aided Geometric Design
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This paper considers the geometric Hermite interpolation for spacial curves by parametric quartic Bezier curve. In additon to position and tangent direction, the curvature vector is prescribed at each knot. We prove that under appropriate assumptions the interpolant exists locally with one degree of freedom. Moreover, we prove the interpolant is 6th order accurate.