Employing variance component estimation for point cloud based geometric surface representation by B-splines. [PDF]
Ötsch E, Harmening C, Neuner H.
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Preoperative CT markers and poor discharge functional status after burr-hole drainage for chronic subdural hematoma: a retrospective cohort study. [PDF]
He J, Qi P, Liu X, Wang C, Zeng Y.
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Computationally efficient Bayesian inference for semi-parametric joint models of competing risks survival and skewed longitudinal data using integrated nested Laplace approximation. [PDF]
Ferede MM, Nakhaei Rad N, Chen DG.
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An explicit and rapid intersection algorithm of plane and NURBS surface in CNC surface machining. [PDF]
Wei S, Zhao K, Yan H, Li Y.
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Interpretable vocal tract and respiratory inversion via physics-informed neural operators. [PDF]
Deng M, Liu C, Yang Z.
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On Monotone Spline Approximation
SIAM Journal on Mathematical Analysis, 1994For a monotone function \(f\) on the interval \([0,1]\) define \(E_{n,m} (f)=\inf \| f-s\|\) with the uniform norm \(\|\cdot \|\). The infimum is taken over all monotone splines \(s\) of order \(m+1\) on \(n+1\) equidistant knots. It is known that for \(f\in C^ j\) the estimate \(E_{n,m}(f)\leq C(m) n^{-j} \omega(f^{(j)}, n^{-1})\) holds for \(0\leq j ...
S P Zhou
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Spline approximation of offset curves
Computer Aided Geometric Design, 1988By using Bézier-splines and rational Bézier-splines, the author discusses the approximation of offset curves. In order to determine the approximating splines, the author presents algorithms for Bézier- splines with G 1 and G 2-continuity, and for rational Bézier-splines with G 1-continuity. An example illustrates the usefulness of the algorithms.
Josef Hoschek
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On Approximation by Hyperbolic Splines
Journal of Mathematical Sciences, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kulikov, E. K., Makarov, A. A.
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Biorthogonal Approximation by Splines
Journal of Mathematical Sciences, 2014For bi-infinite grids of points in one dimension on intervals, bi-orthogonal approximations by splines are considered. Explicit expressions for the representation of the splines are derived and specified in detail in the special case of quadratic splines. Error estimated are provided as well in a variety of approaches.
Dem'yanovich, Yu. K., Lebedeva, A. V.
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Multidimensional Spline Approximation
SIAM Journal on Numerical Analysis, 1980Summary: We give direct and inverse estimates for multivariate spline approximation. The direct estimates rest on new results for local polynomial approximation which generalize the work of Brudnyi and Bramble-Hilbert. The inverse estimates are multivariate extensions of one variable ideas.
Dahmen, W., De Vore, R., Scherer, K.
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