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Quasi-interpolation by quadratic -splines on truncated octahedral partitions

Computer Aided Geometric Design, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M. Rhein, T. Kalbe
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Volumetric parameterization with truncated hierarchical B-splines for isogeometric analysis

Computer Methods in Applied Mechanics and Engineering, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ye Zheng, Falai Chen
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Multivariate B-Splines and Truncated Powers

1993
In the following, it is convenient to accept slightly a different normalization for B-splines. Namely, a B-spline with a knot set θ = {t 0, ..., t r }, a ⩽ t 0 ⩽ ... ⩽ t r ⩽ b is defined by the rule $$M(t) = M(t|\theta ) = r[{t_0},...,{t_r}]( \cdot - t)_ + ^{r - 1}$$ (9.1.1) and therefore (see 3.2.1) $$\int\limits_a^b {M(t)dt = 1}$$ .
B. D. Bojanov   +2 more
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Interactive isosurfaces with quadratic C 1 splines on truncated octahedral partitions

Information Visualization, 2011
The reconstruction of a continuous function from discrete data is a basic task in many applications such as the visualization of 3D volumetric data sets. We use a local approximation method for quadratic C1 splines on uniform tetrahedrat partitions to achieve a globally smooth function.
Alexander Marinc   +3 more
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Multivariate Truncated Powers and B-Splines with Coalescent Knots

SIAM Journal on Numerical Analysis, 1985
Multivariate truncated powers [see \textit{W. Dahmen}, SIAM J. Numer. Anal. 17, 179-191 (1980; Zbl 0425.41015)] are distributions which generally can be identified with continuous, sectorwise polynomial functions. Just as in the univariate case B-splines with pairwise distinct knots can be written as linear combinations of these functions.
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Truncated Laurent expansions for the fast evaluation of thin plate splines

Numerical Algorithms, 1993
Thin plate splines are highly useful for approximation of functions of two variables, partly because they provide the interpolant to scattered function values that minimizes a 2-norm of second derivatives. On the other hand, they have the severe disadvantage that the explicit calculation of a thin plate spline approximation requires a log function to ...
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Mixture model of spline truncated and kernel in multivariable nonparametric regression

AIP Conference Proceedings, 2016
Given the data (x1i, x2i,…, xpi,t1i,t2i,…,tqi, yi) with predictors (xsi, tki) and response variables yi are assumed to follow unknown function such that their dependence can be approximated by a nonparametric regression model y˜=μ˜(x,t)+e˜=∑i=1pf˜s(x)+∑k=1qg˜k(t)+e˜.
null Rismal   +2 more
openaire   +1 more source

Truncated hierarchical B-spline material point method for large deformation geotechnical problems

Computers and Geotechnics, 2021
Shui-Long Shen   +2 more
exaly  

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