Results 1 to 10 of about 969 (126)
Efficient spline regression for neural spiking data. [PDF]
PLoS ONE, 2021 Point process generalized linear models (GLMs) provide a powerful tool for characterizing the coding properties of neural populations. Spline basis functions are often used in point process GLMs, when the relationship between the spiking and driving ...
Mehrad Sarmashghi +2 more
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The Quasi‐Cubic Trigonometric Cardinal Spline With Local Shape Adjustability
Journal of MathematicsThe cubic Cardinal spline curve is a fundamental tool in the field of interpolation curve design. However, the cubic Cardinal spline curve cannot adjust its shape locally through the free parameters, and it struggles to accurately represent common ...
Juncheng Li, Chengzhi Liu
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Calculation of coefficients of a cardinal B-spline
Applied Mathematics Letters, 2010 AbstractIt is well known that a cardinal B-spline of order m,m∈N, is a piecewise polynomial function. In this note we propose an effective method for calculating the coefficients of polynomials which constitute a cardinal B-spline.
Gradimir V Milovanović
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Geometric convergence rates for cardinal spline subdivision with general integer arity
Journal of Numerical Analysis and Approximation Theory, 2019 A rigorous convergence analysis is presented for arbitrary order cardinal spline subdivision with general integer arity, for which the binary case, with arity two, is a well-studied subject.
Johan de Villiers +1 more
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Advances in Mechanical Engineering, 2020 Ensemble local mean decomposition has been gradually introduced into mechanical vibration signal processing due to its excellent performance in electroencephalogram signal analysis.
Pei Chen +5 more
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Nasal and temporal curvatures of lamina CRIBROSA in myopic eyes
Scientific Reports, 2022 Little is known about the myopic characteristics of lamina cribrosa (LC) curvature. As such, we investigated nasal and temporal LC curvatures in myopia.
Sooyeon Choe +6 more
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The Cardinal Spline Methods for the Numerical Solution of Nonlinear Integral Equations
Journal of Chemistry, 2020 In this study, an effective technique is presented for solving nonlinear Volterra integral equations. The method is based on application of cardinal spline functions on small compact supports.
Xiaoyan Liu +3 more
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An Analysis of Cardinal Spline-Wavelets
Journal of Approximation Theory, 1993 In a previous paper [Trans. Am. Math. Soc. 330, No. 2, 903-915 (1992; Zbl 0759.41009)] the authors have introduced the \(m\)th order cardinal \(B\)-spline-wavelet \(\psi_ m\) and have shown that every function \(f\in L^ 2(-\infty,\infty)\) has a (unique) orthogonal wavelet decomposition \(f=\sum_{k\in\mathbb{Z}}\sum_{j\in\mathbb{Z}}d^ k_ j\psi_ m(2^ k ...
Chui, C.K., Wang, J.Z.
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Cardinal interpolation and spline fucntions V. The B-splines for cardinal Hermite interpolation
Linear Algebra and its Applications, 1973 AbstractIn the third paper of this series on cardinal spline interpolation [4] Lipow and Schoenberg study the problem of Hermite interpolation S(v) = Yv, S′(v) = Yv′,…,S(r−1)(v) = Yv(r−1) for allv. The B-splines are there conspicuous by their absence, although they were found very useful for the case γ = 1 of ordinary (or Lagrange) interpolation (see ...
Schoenberg, I.J., Sharma, A.
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On Weighted Average Interpolation with Cardinal Splines [PDF]
Acta Applicandae Mathematicae, 2017 Given a sequence of data {yn}n∈Z with polynomial growth and an odd number d, Schoenberg proved that there exists a unique cardinal spline f of degree d with polynomial growth such that f (n) = yn for all n ∈ Z. In this work, we show that this result also holds if we consider weighted average data f ∗ h(n) = yn, whenever the average function h satisfies
López-Salazar Codes, Jeronimo +1 more
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