Results 21 to 30 of about 5,521 (203)
Polynomial spline-approximation of Clarke's model [PDF]
We investigate polynomial spline approximation of stationary random processes on a uniform grid applied to Clarke's model of time variations of path amplitudes in multipath fading channels with Doppler scattering. The integral mean square error (MSE) for
Adlard, J F, Tozer, T C, Zakharov, Y V
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Almost cardinal spline interpolation
Spline functions are surely interesting objects of intensive investigation. When interpolation points and knots of the relevant splines are characterized by a periodic behaviour, the interpolating problem is termed cardinal interpolation. The present paper deals with a certain generalization of known theoretical results in the subject to the ''almost ...
Arad, Nur, Dyn, Nira
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An Automated Algorithm for Approximation of Temporal Video Data Using Linear B'EZIER Fitting [PDF]
This paper presents an efficient method for approximation of temporal video data using linear Bezier fitting. For a given sequence of frames, the proposed method estimates the intensity variations of each pixel in temporal dimension using linear Bezier ...
Khan, Murtaza Ali
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Polyhyperbolic Cardinal Splines [PDF]
In this note we discuss solutions of differential equation $(D^2- ^2)^{k}u=0$ 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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Transfinite thin plate spline interpolation
Duchon's method of thin plate splines defines a polyharmonic interpolant to scattered data values as the minimizer of a certain integral functional. For transfinite interpolation, i.e.
A. Bejancu +17 more
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Oblique Matching Pursuit [PDF]
A method for selecting a suitable subspace for discriminating signal components through an oblique projection is proposed. The selection criterion is based on the consistency principle introduced by M. Unser and A. Aldroubi and extended by Y. Elder.
Rebollo-Neira, Laura
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Cardinal interpolation and spline functions. III. Cardinal Hermite interpolation
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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The Quasi-Cubic Trigonometric Cardinal Spline With Local Shape Adjustability
The 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, Shanjun Liu, Chengzhi Liu
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Splines in Numerical Integration [PDF]
AMS Subj. Classification: 65D07, 65D30.We gave a short review of several results which are related to the role of splines (cardinal, centered or interpolating) in numerical integration.
Udovičić, Zlatko
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An upper bound on the number of zeros of a piecewise polinomial function
A precise tie between a univariate spline's knots and its zeros abundance and dissemination is formulated. As an application, a conjecture formulated by De Concini and Procesi is shown to be true in the special univariate, unimodular case.
Caminati, Marco
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