Zobrazeno 1 - 10
of 44
pro vyhledávání: '"Giampietro Allasia"'
Efficient approximation algorithms. Part I: approximation of unknown fault lines from scattered data
Publikováno v:
Dolomites Research Notes on Approximation, Vol 3, Pp 7-38 (2010)
Externí odkaz:
https://doaj.org/article/08f04244f98d4963b9698433612d27b9
Publikováno v:
Dolomites Research Notes on Approximation, Vol 3, Pp 39-78 (2010)
Externí odkaz:
https://doaj.org/article/125920848a3c4239a6728cf0d551714f
Publikováno v:
Rendiconti di Matematica e delle Sue Applicazioni, Vol 24, Iss 2, Pp 281-301 (2004)
We consider the application of a new scattered data approximation scheme to numerically solving the Dirichlet problem for the Poisson equation. This collocation method, which is mesh-free and substantially independent on the space dimension, makes u
Externí odkaz:
https://doaj.org/article/7c8edc61a63f4dffb321047f3a3417ce
Autor:
Giampietro Allasia
Publikováno v:
Numerical Algorithms. 78:661-672
Some families of Haar spaces in $\mathbb {R}^{d},~ d\ge 1,$ whose basis functions are d-variate piecewise polynomials, are highlighted. The starting point is a sequence of univariate piecewise polynomials, called Lobachevsky splines, arised in probab
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a0ccf06eb47de96fb5d7368070e626aa
https://doi.org/10.1007/s11075-017-0394-x
https://doi.org/10.1007/s11075-017-0394-x
The Hermite–Birkhoff interpolation problem of a function given on arbitrarily distributed points on the sphere and other manifolds is considered. Each proposed interpolant is expressed as a linear combination of basis functions, the combination coe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2c818fd97f827c7834a84831ce39daec
http://arxiv.org/abs/1705.01032
http://arxiv.org/abs/1705.01032
Publikováno v:
Applied Mathematics & Information Sciences. 8:145-151
This paper deals with the topic of numerical integration on scattered data in R d , d � 10, by a class of spline functions, called Lobachevsky splines. Precisely, we propose new integration formulas based on Lobachevsky spline interpolants, which t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d6583ad6a5abd38297687b46996a29df
https://doi.org/10.12785/amis/080118
https://doi.org/10.12785/amis/080118
Publikováno v:
Computational and Applied Mathematics. 32:71-87
To investigate errors in astronomical measurements Lobachevsky introduced in 1842 an infinite sequence of univariate spline functions with equally spaced knots, whom classic B-splines are directly connected to. A remarkable property is the convergenc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2c72df58f0654ae0bba5e6dc542b5c15
https://doi.org/10.1007/s40314-013-0011-0
https://doi.org/10.1007/s40314-013-0011-0
Autor:
Giampietro Allasia, Cesare Bracco
Publikováno v:
Applied Mathematics and Computation. 218:9248-9260
A class of cardinal basis functions for Hermite–Birkhoff interpolation to multivariate real functions on scattered data is constructed. The argument is developed first recalling some classical approaches to the multivariate Hermite interpolation pr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ec108bde7911d0e827a72d7d0a5737c3
https://doi.org/10.1016/j.amc.2012.03.002
https://doi.org/10.1016/j.amc.2012.03.002
Publikováno v:
Mathematical Methods in the Applied Sciences. 35:923-934
A class of spline functions, called Lobachevsky splines, is proposed for landmark-based image registration. Analytic expressions of Lobachevsky splines and some of their properties are given, reasoning in the context of probability theory. Because th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e975e4f73b9dfe3f3043a1b41bb1bfda
https://doi.org/10.1002/mma.1610
https://doi.org/10.1002/mma.1610
Autor:
Giampietro Allasia, Cesare Bracco
Publikováno v:
Journal of Computational and Applied Mathematics. 235(7):1763-1774
Two interpolation operators in inner product spaces for irregularly distributed data are compared. The first is a well-known polynomial operator, which in a certain sense generalizes the classical Lagrange interpolation polynomial. The second can be
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4d73c26154a02ebe6eb2d25774ca7b4a