Zobrazeno 1 - 10
of 15
pro vyhledávání: '"Edward J. Fuselier"'
Surface reconstruction from a set of scattered points, or a point cloud, has many applications ranging from computer graphics to remote sensing. We present a new method for this task that produces an implicit surface (zero-level set) approximation fo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a408f9f5725c75d1653ee46a46f5a26d
Divergence-free (div-free) and curl-free vector fields are pervasive in many areas of science and engineering, from fluid dynamics to electromagnetism. A common problem that arises in applications is that of constructing smooth approximants to these
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bf57006bbe8066155413a133760130ab
http://arxiv.org/abs/2010.15898
http://arxiv.org/abs/2010.15898
Publikováno v:
Journal of Human Evolution. 161:103077
An accurate prediction of the body mass of an extinct species can greatly inform the reconstruction of that species' ecology. Therefore, paleontologists frequently predict the body mass of extinct taxa from fossilized materials, particularly dental d
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b3b2a1d63700d8160043d8380a7ac557
https://doi.org/10.1016/j.jhevol.2021.103077
https://doi.org/10.1016/j.jhevol.2021.103077
Autor:
Edward J. Fuselier, Grady B. Wright
Publikováno v:
Advances in Computational Mathematics. 41:23-53
In this exploratory paper we study the convergence rates of an iterated method for approximating derivatives of periodic functions using radial basis function (RBF) interpolation. Given a target function sampled on some node set, an approximation of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e92a133d763235d423da37f2c3724303
https://doi.org/10.1007/s10444-014-9348-1
https://doi.org/10.1007/s10444-014-9348-1
Autor:
Joseph D. Ward, Edward J. Fuselier, Thomas Hangelbroek, Francis J. Narcowich, Grady B. Wright
Publikováno v:
Numerische Mathematik. 127:57-92
Quadrature formulas for spheres, the rotation group, and other compact, homogeneous manifolds are important in a number of applications and have been the subject of recent research. The main purpose of this paper is to study coordinate independent qu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ada57adf1b0edcb106c9e941d88cddb3
https://doi.org/10.1007/s00211-013-0581-1
https://doi.org/10.1007/s00211-013-0581-1
Autor:
Edward J. Fuselier, Grady B. Wright
Publikováno v:
SIAM Journal on Numerical Analysis. 50:1753-1776
In this paper we present error estimates for kernel interpolation at scattered sites on manifolds. The kernels we consider will be obtained by the restriction of positive definite kernels on $\math...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::391f904c106fe2a77b5e37beb6720af3
https://doi.org/10.1137/110821846
https://doi.org/10.1137/110821846
Publikováno v:
Mathematics of Computation. 78:2157-2186
Recently, a new class of surface-divergence free radial basis function interpolants has been developed for surfaces in R 3 \mathbb {R}^3 . In this paper, several approximation results for this class of interpolants will be derived in the case of the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e8909b0885a587c793a900ec68677881
https://doi.org/10.1090/s0025-5718-09-02214-5
https://doi.org/10.1090/s0025-5718-09-02214-5
A new projection method based on radial basis functions (RBFs) is presented for discretizing the incompressible unsteady Stokes equations in irregular geometries. The novelty of the method comes from the application of a new technique for computing t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::276b306d1f8db4698a3aae7a7a9844bc
Publikováno v:
Physics of Plasmas. 8:3645-3651
A nonlocal theory of the electrostatic parallel velocity shear instability in a three-dimensional slab with a uniformly sheared magnetic field has been developed. It is shown that in the limit of a weak parallel velocity gradient, the linear growth r
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8574dec8bbb46143274424699bb2493d
https://doi.org/10.1063/1.1382645
https://doi.org/10.1063/1.1382645
Autor:
Edward J. Fuselier
Publikováno v:
Advances in Computational Mathematics. 29:311-313
In this paper we derive several new results involving matrix-valued radial basis functions (RBFs). We begin by introducing a class of matrix-valued RBFs which can be used to construct interpolants that are curl-free. Next, we offer a characterization
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ce5f21a7be3752b35666d5054edfb0a6
https://doi.org/10.1007/s10444-008-9091-6
https://doi.org/10.1007/s10444-008-9091-6