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Contour Smoothing Based on Weighted Smoothing Splines
2006Here we present a contour-smoothing algorithm based on weighted smoothing splines for contour extraction from a triangular irregular network (TIN) structure based on sides. Weighted smoothing splines are one-variable functions designed for approximating oscillatory data.
Leonor Maria, Oliveira Malva
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Multivariate Smoothing Spline Functions
SIAM Journal on Numerical Analysis, 1984zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Spline Interpolation and Smoothing on the Sphere
SIAM Journal on Scientific and Statistical Computing, 1981Motivating his study by some need of the analysis of meteorological data the author solves the following extremal problems: A) minimize the functional \(I_ m(u)\) subject to \(u(P_ i)=z_ i\), \(i=1,...,n\), where \(\{P_ i\}\) are points on the sphere and \(I_ m\) is a natural analogue on the sphere of the functional \(\int^{2\pi}_{0}[u^{(m)}(\theta ...
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Multivariate Smoothing and Interpolating Splines
SIAM Journal on Numerical Analysis, 1974A theorem that characterizes spline functions that both smooth and interpolate is given. A bivariate generalization is presented which permits interpolation and smoothing of information which is not necessarily on a rectangular grid. A theorem which involves reproducing kernels for Hilbert spaces unifies this theory.
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Shape constrained smoothing using smoothing splines
Computational Statistics, 2005A nonparametric smoothing algorithm is proposed for evaluation of the function \(g:[a,b]\to R\) which minimizes \[ \sum_{i=1}^n (y_i-g(t_i))^2+\lambda\int_a^b (g^{(2)}(u))^2du \] under the constrains \(g^{(r)}(t)\geq 0\), \(\forall t\in[a,b]\). Here \((t_i,y_i)\) are the data points, \(g^{(k)}\) denotes derivatives of \(g\) with respect to \(t\), and \(
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Bayesian approach to smoothing parameter selection in spline estimate for regression curve
International Journal of Computing Science and Mathematics, 2020Smail Adjabi
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Improper Priors, Spline Smoothing and the Problem of Guarding Against Model Errors in Regression
Journal of the Royal Statistical Society Series B: Statistical Methodology, 1978Grace Wahba
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Smoothing Spline Models with Correlated Random Errors
Journal of the American Statistical Association, 1998Yuedong Wang
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