Curves and surfaces for computer aided geometric design
Curves and surfaces for computer aided geometric design
Rational geometric curve interpolation
Mathematical methods in computer aided geometric design II
High accurate rational approximation of parametric curves
Selected papers of the international symposium on Free-form curves and free-form surfaces
A metric for parametric approximation
Proceedings of the international conference on Curves and surfaces in geometric design
Geometric Hermite interpolation with maximal order and smoothness
Computer Aided Geometric Design
Constrained interpolation with rational cubics
Computer Aided Geometric Design
On Geometric Interpolation by Polynomial Curves
SIAM Journal on Numerical Analysis
Geometric interpolation by planar cubic polynomial curves
Computer Aided Geometric Design
Admissible regions for rational cubic spirals matching G2 Hermite data
Computer-Aided Design
Interpolation Scheme for Planar Cubic G2 Spline Curves
Acta Applicandae Mathematicae: an international survey journal on applying mathematics and mathematical applications
High accuracy geometric Hermite interpolation
Computer Aided Geometric Design
Geometric point interpolation method in R3 space with tangent directional constraint
Computer-Aided Design
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In the paper, the Lagrange geometric interpolation by spatial rational cubic Bezier curves is studied. It is shown that under some natural conditions the solution of the interpolation problem exists and is unique. Furthermore, it is given in a simple closed form which makes it attractive for practical applications. Asymptotic analysis confirms the expected approximation order, i.e., order six. Numerical examples pave the way for a promising nonlinear geometric subdivision scheme.