Zobrazeno 1 - 10
of 23
pro vyhledávání: '"Paola Lamberti"'
Autor:
Paola Lamberti, Sara Remogna
Publikováno v:
Mathematics, Vol 10, Iss 4, p 543 (2022)
In this paper, we propose a method for constructing spline surfaces interpolating a B-spline curve network, allowing the presence of free parameters, in order to model the interpolating surface. We provide a constructive algorithm for its generation
Externí odkaz:
https://doaj.org/article/c42032f56d254f3cbe47e883ffb86d8d
Publikováno v:
ANNALI DELL'UNIVERSITA' DI FERRARA. 68:397-415
The approximation of functions and data in one and high dimensions is an important problem in many mathematical and scientific applications. Quasi-interpolation is a general and powerful approximation approach having many advantages. This paper deals
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::68fb717808b81a1e68c9ce6278d928bd
https://doi.org/10.1007/s11565-022-00427-4
https://doi.org/10.1007/s11565-022-00427-4
Autor:
Sara REMOGNA, Paola Lamberti
Publikováno v:
Mathematics; Volume 10; Issue 4; Pages: 543
In this paper, we propose a method for constructing spline surfaces interpolating a B-spline curve network, allowing the presence of free parameters, in order to model the interpolating surface. We provide a constructive algorithm for its generation
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b5569c394b7bfb476f3dfdba6a295667
http://hdl.handle.net/2318/1843469
http://hdl.handle.net/2318/1843469
Autor:
Paola Lamberti, Antonia Saponaro
In this paper we present new approximation schemes based on both quasi-interpolation and multilevel methods by using bivariate quadratic B-spline functions, defined on simple and multiple knot type-2 triangulations, improving the classical quasi-inte
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::32a6513cd138453bc1ce247d0aab4c47
http://hdl.handle.net/2318/1726991
http://hdl.handle.net/2318/1726991
In this paper, we introduce and study new h-Bernstein basis functions over a triangular domain. In particular, after defining the h-Bernstein polynomial functions of degree n, we prove their algebraic and geometric properties, such as partition of un
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8a27617fbce8bf9be03c4420a2834e1b
http://hdl.handle.net/2318/1738971
http://hdl.handle.net/2318/1738971
Publikováno v:
Calcolo. 52:475-494
In this paper, we present new quasi-interpolating spline schemes defined on 3D bounded domains, based on trivariate $C^2$ quartic box splines on type-6 tetrahedral partitions and with approximation order four. Such methods can be used for the reconst
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d64732da52f9ce0dc669f2bd52698f30
https://doi.org/10.1007/s10092-014-0125-9
https://doi.org/10.1007/s10092-014-0125-9
Publikováno v:
Numerical Algorithms. 61:209-222
In this paper, we investigate bivariate quadratic spline spaces on non-uniform criss-cross triangulations of a bounded domain with unequal smoothness across inner grid lines. We provide the dimension of the above spaces and we construct their local b
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::73c2c87153ccd4616182c73da642bbca
https://doi.org/10.1007/s11075-012-9601-y
https://doi.org/10.1007/s11075-012-9601-y
Publikováno v:
Journal of Computational and Applied Mathematics. 233:279-292
In this paper, a cubature formula over polygons is proposed and analysed. It is based on an eight-node quadrilateral spline finite element [C.-J. Li, R.-H. Wang, A new 8-node quadrilateral spline finite element, J. Comp. Appl. Math. 195 (2006) 54–6
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::de3e084937e16fe41fe0956b128774a5
https://doi.org/10.1016/j.cam.2009.07.017
https://doi.org/10.1016/j.cam.2009.07.017
Autor:
Paola Lamberti
Publikováno v:
BIT Numerical Mathematics. 49:565-588
In this paper we generate and study new cubature formulas based on spline quasi-interpolants defined as linear combinations of C1 bivariate quadratic B-splines on a rectangular domain Ω, endowed with a non-uniform criss-cross triangulation, with dis
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9fecf1765382714420322bfccf9689e9
https://doi.org/10.1007/s10543-009-0237-9
https://doi.org/10.1007/s10543-009-0237-9