Shape-preserving univariate cubic and higher-degree \(L_{1}\) splines with function-value-based and multistep minimization principles
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Publication:625148
DOI10.1016/j.cagd.2008.01.004zbMath1205.65040OpenAlexW2082610916MaRDI QIDQ625148
Publication date: 15 February 2011
Published in: Computer Aided Geometric Design (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cagd.2008.01.004
interpolationsplineirregular datashape preservationquinticcubic\(L_{1}higher-degreeL_{2}\)seventh-degreeunivariate
Numerical computation using splines (65D07) Numerical interpolation (65D05) Interpolation in approximation theory (41A05)
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Cites Work
- A modification of Karmarkar's linear programming algorithm
- An efficient algorithm for generating univariate cubic \(L_1\) splines
- A compressed primal-dual method for generating bivariate cubic \(L_{1}\) splines
- A practical guide to splines
- Univariate cubic \(L_1\) splines -- a geometric programming approach
- Shape-preserving properties of univariate cubic \(L_{1}\) splines
- Affine-scaling for linear programs with free variables
- Univariate cubic \(L_{p}\) splines and shape-preserving, multiscale interpolation by univariate cubic \(L_{1}\) splines
- Shape-preserving, first-derivative-based parametric and nonparametric cubic \(L_{1}\) spline curves
- Least-squares image resizing using finite differences
- Shape-preserving, multiscale interpolation by bi- and multivariate cubic \(L_{1}\) splines
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