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Multivariate B-Splines and Truncated Powers
1993In 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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DTHB3D_Reg: Dynamic Truncated Hierarchical B-Spline Based 3D Nonrigid Image Registration
Communications in Computational Physics, 2018Summary: We present a robust approach to perform 3D nonrigid image registration suitable for large deformation and topology change, and develop a software package named DTHB3D\_Reg (Dynamic Truncated Hierarchical B-spline based 3D Image Registration).
Pawar, Aishwarya +4 more
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Multivariate Truncated Powers and B-Splines with Coalescent Knots
SIAM Journal on Numerical Analysis, 1985Multivariate 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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Interactive isosurfaces with quadratic C 1 splines on truncated octahedral partitions
Information Visualization, 2011The 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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Prediction of seawater salinity using truncated spline regression method
AIP Conference Proceedings, 2022null Faisol +4 more
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Quasi-interpolation by quadratic -splines on truncated octahedral partitions
Computer Aided Geometric Design, 2009M. Rhein, T. Kalbe
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Truncated hierarchical GNURBS for adaptive spline surface fitting
Computer-Aided DesignJun Min, Xin Li, Li-yong Shen
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Ridge-Spline Truncated Estimator in Multivariable Nonparametric Regression
Moch. Wahyu Septiadi +3 moreopenaire +1 more source
Nonparametric Regression Estimator of Multivariable Truncated Spline for Categorical Data
Afiqah Saffa Suriaslan +2 moreopenaire +1 more source