Results 11 to 20 of about 969 (126)
Shock and Vibration, 2004 A spline-based differential quadrature method (SDQM) is elaborated and applied to the vibration analysis of rectangular plates with free edges. The sextic B-spline functions are used to construct the pertaining cardinal spline interpolants.
Hongzhi Zhong, Qiang Guo
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Construction of a family of non-stationary biorthogonal wavelets
Journal of Inequalities and Applications, 2019 The family of exponential pseudo-splines is the non-stationary counterpart of the pseudo-splines and includes the exponential B-spline functions as special members.
Baoxing Zhang +3 more
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Journal of Approximation Theory, 1990 The authors present certain basic properties of polyharmonic cardinal splines. They also investigate the problems of existence and uniqueness of cardinal interpolation. Two theorems and ten propositions are given.
Madych, W.R, Nelson, S.A
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An efficient nonlinear cardinal B-spline model for high tide forecasts at the Venice Lagoon [PDF]
Nonlinear Processes in Geophysics, 2006 An efficient class of nonlinear models, constructed using cardinal B-spline (CBS) basis functions, are proposed for high tide forecasts at the Venice lagoon.
H. L. Wei, S. A. Billings
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Zhejiang Daxue xuebao. Lixue ban, 2019 当数据点给定时，三次Cardinal 样条的张力参数和边界条件均为自由变量，因此可对这些自由变量进行优化，以得到满足某种特定要求的最佳三次Cardinal 样条。讨论了如何通过优化张力参数与边界条件使得构造的平面三次Cardinal 样条尽可能光顺。首先，分析了三次Cardinal 参数样条曲线形状的影响因素；然后，利用曲率变化能极小对三次Cardinal 参数样条曲线的张力参数与边界条件进行优化，获得张力参数与边界条件的唯一解； 最后，给出了对应三次Cardinal ...
LIJuncheng(李军成) +2 more
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Generalized Cardinal Polishing Splines Signal Reconstruction
MathematicsSampling and reconstruction are indispensable processes in signal processing, and appropriate foundations are crucial for spline reconstruction models.
Fangli Sun, Zhanchuan Cai
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Polyhyperbolic Cardinal Splines [PDF]
, 2017 In this note we discuss solutions of differential equation $(D^2-α^2)^{k}u=0$ on $\mathbb{R}\setminus\mathbb{Z}$, which we call hyperbolic splines. We develop the fundamental function of interpolation and prove various properties related to these splines.
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Isogeometric Transfinite Elements: A Unified B-Spline Framework for Arbitrary Node Layouts
AxiomsThis paper presents a unified framework for constructing partially unstructured B-spline transfinite finite elements with arbitrary nodal distributions. Three novel, distinct classes of elements are investigated and compared with older single Coons-patch
Christopher G. Provatidis
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Cardinal interpolation by multivariate splines [PDF]
Mathematics of Computation, 1987 The purpose of this paper is to investigate cardinal interpolation using locally supported piecewise polynomials. In particular, the notion of a commutator is introduced and its connection with the Marsden identity is observed. The order of a commutator is shown to be equivalent to the Strang and Fix conditions that arise in the study of the local ...
Chui, C. K., Jetter, K., Ward, J. D.
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Cardinal interpolation and spline functions. III. Cardinal Hermite interpolation
Linear Algebra and its Applications, 1973 AbstractThe results of item [9] in our list of References, concerning cardinal spline interpolation of data of power growth are here extended to the case of Hermite interpolation. Let m ⩾2, and 1 ⩽γ⩽m. Given are now γ sequences y = (yν), y′ = (yν′),…,y(r−1) = (yν(r−1)) (− ∞ < ν < ∞), and the objective is to find a cardina spline function S(x) of degree
Lipow, Peter R., Schoenberg, I.J.
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