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Deciphering the performance of different surface models for corneal topography. [PDF]
Ophthalmic Physiol OptLangenbucher A +4 more
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Association between impaired lung function and risk of spondyloarthritis: a cross-sectional study in the UK Biobank. [PDF]
Ther Adv Musculoskelet DisZhu Y +5 more
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Total body water to lean body mass ratio predicts mortality in patients with chronic heart failure: a prospective, observational study. [PDF]
Front NutrXie L +6 more
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Cardinal spline interpolation and the exponential Euler splines
Lecture Notes in Mathematics, 1974I J Schoenberg, Schoenberg I J
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Numerical Algorithms, 2005
A very general view of splines, B-splines and spline curves is taken by the ECT-spline approach, originally due to Barry. In this paper, these splines are studied extensively, especially the general ECT-systems and their duals, cardinal ECT-splines and B-splines. Many examples are provided as well in order to illustrate the theoretical results.
Yuehong Tang, Günter W. Mühlbach
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A very general view of splines, B-splines and spline curves is taken by the ECT-spline approach, originally due to Barry. In this paper, these splines are studied extensively, especially the general ECT-systems and their duals, cardinal ECT-splines and B-splines. Many examples are provided as well in order to illustrate the theoretical results.
Yuehong Tang, Günter W. Mühlbach
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A Class of Cardinal Trigonometric Splines
SIAM Journal on Mathematical Analysis, 1976About a decade ago Schoenberg introduced trigonometric splines which are related to the differential operator $\Delta m = D(D^2 + 1^2 ) \cdots (D^2 + m^2 )$. Here we introduce the cardinal trigonometric splines and show that cardinal trigonometric interpolation at the nodes to data of power growth is not unique.
Sharma, A., Tzimbalario, J.
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On Cardinal Spline Interpolation
Computational Methods in Applied Mathematics, 2013Abstract. In the present paper it is shown that the interpolation problem for multiple knot cardinal splines subject to general interpolation conditions has a unique solution with polynomial growth if the data grow correspondingly provided a certain determinantal condition is satisfied.
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On the convergence of cardinal splines
Applied and Computational Harmonic Analysis, 2020Abstract This note contains an outline of a solution to the following conjecture formulated by I. J. Schoenberg in 1976: If the function f is in the Bernstein class B π and S k ( { f ( n ) } , x ) is the piecewise polynomial cardinal spline of order 2k that interpolates ( n , f ( n ) ) , n = 0 , ±
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Cardinal hermite interpolation with box splines
Constructive Approximation, 1987The authors initiate a study of multivariate cardinal Hermite interpolation: the interpolation of successive directional derivatives. It is assumed that the set T of directions satisfies a certain determinant condition and that each direction t occurs in T with even multiplicity.
Riemenschneider, Sherman, Scherer, Karl
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Applicable Analysis, 1980
This paper contains a systematic study of the problem of interpolation by cardinal discrete splines. The main tools are the so-called “Exponetial Euier discrete polynomials” which are a generaisation of the well-known Euler–Frobenius polynomials.
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This paper contains a systematic study of the problem of interpolation by cardinal discrete splines. The main tools are the so-called “Exponetial Euier discrete polynomials” which are a generaisation of the well-known Euler–Frobenius polynomials.
openaire +1 more source