Results 21 to 30 of about 5,521 (203)

Polynomial spline-approximation of Clarke's model [PDF]

open access: yes, 2004
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
core   +1 more source

Almost cardinal spline interpolation

open access: yesJournal of Approximation Theory, 1990
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
openaire   +2 more sources

An Automated Algorithm for Approximation of Temporal Video Data Using Linear B'EZIER Fitting [PDF]

open access: yes, 2010
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
core   +2 more sources

Polyhyperbolic Cardinal Splines [PDF]

open access: yes, 2017
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.
openaire   +2 more sources

Transfinite thin plate spline interpolation

open access: yes, 2009
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
core   +1 more source

Oblique Matching Pursuit [PDF]

open access: yes, 2006
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
core   +4 more sources

Cardinal interpolation and spline functions. III. Cardinal Hermite interpolation

open access: yesLinear 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.
openaire   +1 more source

The Quasi-Cubic Trigonometric Cardinal Spline With Local Shape Adjustability

open access: yesJournal of Mathematics
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
doaj   +1 more source

Splines in Numerical Integration [PDF]

open access: yes, 2010
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
core  

An upper bound on the number of zeros of a piecewise polinomial function

open access: yes, 2008
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
core   +1 more source

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