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A periodic basis system of the smooth approximation space
The paper is primarily devoted to the problem of smooth interpolation of data concerned with the smoothness of the interpolating curve and its derivatives the smoothness, we arrive at different interpo...
BA - Obecná matematika
- 2015 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Polyharmonic splines generated by multivariate smooth interpolation
of the spline can be a priori chosen. Smooth interpolation can be very useful e.g. in signal in n variables. Moreover, if employed as basis functions for interpolation they are radial functions. We are concerned with the p...
Pure mathematics
- 2019 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
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Smooth approximation spaces based on a periodic system
problem.While the minimization guarantees the smoothness of the approximant and its derivatives, the constraints represent the interpolating or smoothing conditions at nodesA way of data approximation called smooth
BA - Obecná matematika
- 2015 •
- D
Rok uplatnění
D - Stať ve sborníku
Some computational aspects of smooth approximation
The paper is devoted to the problem of smooth approximation of data. We are concerned with the exact interpolation of the data at nodes and, at the same time, with the smoothness of the interpolating curve and its ...
BA - Obecná matematika
- 2013 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Multivariate smooth interpolation that employs polyharmonic functions
We study the problém of construction of the smooth interpolation formula presented as the minimizer of suitable functionals subject to interpolation constraints. We present a procedure for determining the interpolation<...
Pure mathematics
- 2019 •
- D •
- Link
Rok uplatnění
D - Stať ve sborníku
Výsledek na webu
Smooth approximation of data with applications to interpolating and smoothings
In the paper, we are concerned with some computational aspects of smooth combinations of smooth functions with coefficients obtained as the solution of a variational problem, where constraints represent the conditions of interpo...
BA - Obecná matematika
- 2013 •
- D •
- Link
Rok uplatnění
D - Stať ve sborníku
Výsledek na webu
A particular smooth interpolation that generates splines
$it smooth interpolation$ introduced by Talmi and Gilat and show that it covers not onlyThere are two grounds the spline theory stems from -- the algebraic one (where splines are understood as piecewise smooth functions sa...
Applied mathematics
- 2017 •
- D •
- Link
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D - Stať ve sborníku
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Smooth approximation and its application to some 1D problems
In the contribution, we are concerned with the exact interpolation of the data at nodes given and also with the smoothness of the interpolating curve and its derivatives. This task is called the problem of smooth a...
BA - Obecná matematika
- 2012 •
- D
Rok uplatnění
D - Stať ve sborníku
Multivariate interpolation using polyharmonic splines
with the interpolation by polyharmonic splines in an arbitrary dimension. We show the connection of this interpolation with the interpolation by radial basis functions and the smooth interpolation branche...
Pure mathematics
- 2021 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Some splines produced by smooth interpolation
called smooth interpolation introduced by Talmi and Gilat covers not only the cubicThe spline theory can be derived from two sources: the algebraic one (where splines are understood as piecewise smooth functions satisfying...
Applied mathematics
- 2018 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
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