Shape-Preserving Interpolation by Parametrically Defined Curves
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Publication:3830399
DOI10.1137/0725085zbMath0675.65003OpenAlexW2167221596MaRDI QIDQ3830399
Keith Unsworth, Tim N. T. Goodman
Publication date: 1988
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0725085
interpolationsplinegeometric continuitylocal monotonicityshape-preservinglocal convexityparametric piecewise polynomials
Numerical computation using splines (65D07) Numerical interpolation (65D05) Interpolation in approximation theory (41A05)
Related Items (21)
Coils ⋮ Shape preserving interpolation by curvature continuous parametric curves ⋮ A shape preserving interpolant with tension controls ⋮ \(C^ 1\) comonotone Hermite interpolation via parametric cubics ⋮ Point control of rational interpolating curves using parameters ⋮ Interpolation scheme for planar cubic \(G^2\) spline curves ⋮ Planar cubic \(G^{1}\) interpolatory splines with small strain energy ⋮ A shape-preserving approximation by weighted cubic splines ⋮ Constrained control and approximation properties of a rational interpolating curve. ⋮ A novel generalization of Bézier curve and surface ⋮ Shape-preserving \(C^1\) Hermite interpolants generated by a Gori-Pitolli subdivision scheme ⋮ Convexity-preserving interpolatory parametric splines of non-uniform polynomial degree ⋮ Geometric construction of quintic parametric B-splines ⋮ Region control and approximation of a weighted rational interpolating curves ⋮ A new \(C^2\) rational interpolation based on function values and constrained control of the interpolant curves ⋮ Positive data modeling using spline function ⋮ A novel approach to the convexity control of interpolant curves ⋮ Hermite Interpolation by Pythagorean Hodograph Quintics ⋮ A family of univariate rational Bernstein operators ⋮ Interactive shape preserving interpolation by curvature continuous rational cubic splines ⋮ A new weighted rational cubic interpolation and its approximation
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