Thin-walled composite beam elements via the absolute nodal coordinate formulation
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Hermite interpolation
Image warping
Lagrange polynomial
Interpolation
With introducing Hermite interpolating condition,the authors presented a novel notion of Hermite interpolating refinable function vector.In terms of its mask,several properties with respect to Hermite interpolating refinable function vector were investigated.
Hermite interpolation
Cubic Hermite spline
Hermite spline
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With progress on both the theoretical and the computational fronts, the use of Hermite interpolation for mathematical modeling has become an established tool in applied science. This article aims to provide an overview of the most widely used Hermite interpolating polynomials and their implementation in various algorithms to solve different types of differential equations, which have important applications in different areas of science and engineering. The Hermite interpolating polynomials, their generalization, properties, and applications are provided in this article.
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Hermite spline
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Monotone cubic interpolation
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The authors consider two procedures of Hermite and Hermite-Fejer interpolation based on the zeros of Jacobi polynomials plus additional nodes and prove that such procedures can always well approximate a function and its deriva tives simultaneously.
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Cubic Hermite spline
Hermite spline
Interpolation
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Cubic Hermite spline
Hermite interpolation
Hermite spline
Interpolation
Monotone cubic interpolation
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In this paper, we propose a new method to obtain MPH quartic Hermite interpolants generically for any Hermite data, by using the speed raparametrization method introduced in [16]. We show that, by this method, without extraordinary processes ( Hermite interpolation introduced in [13]) for non-admissible cases, we are always able to find Hermite interpolants for any Hermite data generically, whether it is admissible or not.
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In this paper, we consider the Lagrange-Hermite Interpolation on uniformly distributed zeros of the unit circle with its derivative at . We obtain the explicit representation of the interpolatory polynomial and establish a convergence theorem for the same.
Hermite interpolation
Lagrange polynomial
Cubic Hermite spline
Representation
Birkhoff interpolation
Interpolation
Unit circle
Hermite spline
Monotone cubic interpolation
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The implementation of the Ahmad-Cohen scheme based on a fourth-order Hermite integrator is described. With the fourth-order Hermite scheme, the force and the time derivative of the force are calculated analytically, and a third-order interpolation polynomial is constructed using two point in time. Compared with the standard scheme which is widely used, it allows a longer stepsize for the same accuracy, and the program is much simpler
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Interpolation
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Hermite spline
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In this paper a cubic Hermite interpolation for fuzzy data is presented and then it is generalized to piecewise cubic Hermite interpolation. Moreover an error bound is given for piecewise cubic Hermite interpolation. The piecewise cubic Hermite inter
Cubic Hermite spline
Monotone cubic interpolation
Hermite interpolation
Hermite spline
Interpolation
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Steerability is a useful and important property of "kernel" functions. It enables certain complicated operations involving orientation manipulation on images to be executed with high efficiency. Thus, we focus our attention on the steerability of Hermite polynomials and their versions modulated by the Gaussian function with different powers, defined as the Hermite kernel. Certain special cases of such kernel, Hermite polynomials, Hermite functions and Gaussian derivatives are discussed in detail. Correspondingly, these cases demonstrate that the Hermite kernel is a powerful and effective tool for image processing. Furthermore, the steerability of the Hermite kernel is proved with the help of a property of Hermite polynomials revealing the rule concerning the product of two Hermite polynomials after coordination rotation. Consequently, any order of the Hermite kernel inherits steerability. Moreover, a couple sets of an explicit interpolation function and basis function can be directly obtained. We provide some examples to verify steerability of the Hermite kernel. Experimental results show the effectiveness of steerability and its potential applications in the fields of image processing and computer vision.
Hermite interpolation
Cubic Hermite spline
Kernel (algebra)
Hermite spline
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Hermite polynomial expansions of the error function and the related F0(w) integral is presented. Expansion in even Hermite polynomials is convergent in the whole argument space of interest, with a smaller number of terms necessary to achieve the desired accuracy than in usual calculation methods of F0(w). Hermite polynomial asymptotic expansion is presented too. It is compared with the standard asymptotic expansion as well as with the interpolation method of P. M. Gill.
Hermite interpolation
Interpolation
Polynomial expansion
Asymptotic expansion
Cubic Hermite spline
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