scholarly journals On a Special Laurent-Hermite Interpolation Problem

1982 ◽  
pp. 63-79 ◽  
Author(s):  
Adhemar Bultheel
Keyword(s):  
Interpolation Problem ◽  
Hermite Interpolation

scholarly journals Spaces of polynomial and nonpolynomial spline-wavelets

2019 ◽  
Vol 292 ◽  
pp. 04001
Author(s):  
Yu. K. Dem’yanovich ◽  
I. G. Burova ◽  
T. O. Evdokimovas ◽  
A. V. Lebedeva
Keyword(s):  
Interpolation Problem ◽  
Wavelet Decomposition ◽  
Hermite Interpolation ◽  
Uniform Grid ◽  
First Order ◽  
Spline Wavelets ◽  
Almost Everywhere

This paper, discusses spaces of polynomial and nonpolynomial splines suitable for solving the Hermite interpolation problem (with first-order derivatives) and for constructing a wavelet decomposition. Such splines we call Hermitian type splines of the first level. The basis of these splines is obtained from the approximation relations under the condition connected with the minimum of multiplicity of covering every point of (α, β) (almost everywhere) with the support of the basis splines. Thus these splines belong to the class of minimal splines. Here we consider the processing of flows that include a stream of values of the derivative of an approximated function which is very important for good approximation. Also we construct a splash decomposition of the Hermitian type splines on a non-uniform grid.

scholarly journals The set of unattainable points for the Rational Hermite Interpolation Problem

2018 ◽  
Vol 538 ◽  
pp. 116-142
Author(s):  
Teresa Cortadellas Benítez ◽  
Carlos D'Andrea ◽  
Eulàlia Montoro
Keyword(s):  
Interpolation Problem ◽  
Hermite Interpolation

On the bivariate hermite interpolation problem

1995 ◽  
Vol 11 (1) ◽  
pp. 23-35 ◽  
Author(s):  
H. V. Gevorgian ◽  
H. A. Hakopian ◽  
A. A. Sahakian
Keyword(s):  
Interpolation Problem ◽  
Hermite Interpolation ◽  
Bivariate Hermite Interpolation

On the G2 Hermite Interpolation Problem with clothoids

2018 ◽  
Vol 341 ◽  
pp. 99-116 ◽  
Author(s):  
Enrico Bertolazzi ◽  
Marco Frego
Keyword(s):  
Interpolation Problem ◽  
Hermite Interpolation

Slope Constrained Quadratic Spline Hermite Interpolation

2013 ◽  
Vol 411-414 ◽  
pp. 1404-1408
Author(s):  
Jian Ling Qu ◽  
Wen Zhu Sun ◽  
Jian Bin Liu ◽  
Feng Gao ◽  
Yu Ping Zhou
Keyword(s):  
Interpolation Problem ◽  
Hermite Interpolation ◽  
Interpolation Method ◽  
Experimental Results ◽  
Quadratic Spline ◽  
Interpolation Curve ◽  
Series Of Experiments

A novel quadratic spline Hermite interpolation method for constraining the slope of interpolation curve in a user-defined interval is proposed. The method solves the interpolation problem by dividing point sequence into a series of two adjacent points. By selecting the slopes of these two points skillfully, the slope of interpolated curve can be constrained easily. Then, the entire interpolated curve can be obtained by linking all of these two-point interpolated curves. A series of experiments are carried out to test the performance of these methods. Experimental results show that this method reach expected results perfectly.

On the Hermite interpolation

2007 ◽  
Vol 50 (11) ◽  
pp. 1651-1660 ◽  
Author(s):  
Xing-hua Wang
Keyword(s):  
Hermite Interpolation
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