نتایج جستجو برای: scattered data

تعداد نتایج: 2425986  

Journal: :Undergraduate Journal of Mathematical Modeling: One + Two 2013

Journal: :Rocky Mountain Journal of Mathematics 1984

Journal: :Journal of Computational and Applied Mathematics 1996

2003
Matthias Hopf Thomas Ertl

Numerical particle simulations and astronomical observations create huge data sets containing uncorrelated 3D points of varying size. These data sets cannot be visualized interactively by simply rendering millions of colored points for each frame. Therefore, in many visualization applications a scalar density corresponding to the point distribution is resampled on a regular grid for direct volu...

2017
Philipp Grohs Markus Sprecher Thomas Yu

We consider the problem of approximating a function f from an Euclidean domain to a manifold M by scattered samples [Formula: see text], where the data sites [Formula: see text] are assumed to be locally close but can otherwise be far apart points scattered throughout the domain. We introduce a natural approximant based on combining the moving least square method and the Karcher mean. We prove ...

2005
Victoria Baramidze Ming Jun Lai E. Azoff M. Adams R. Varley P. Wenston Maureen Grasso Jun Lai

We study properties of spherical Bernstein-Bézier splines. Algorithms for practical implementation of the global splines are presented for a homogeneous case as well as a non-homogeneous. Error bounds are derived for the global splines in terms of Sobolev type spherical semi-norms. Multiple star technique is studied for the minimal energy interpolation problem. Numerical summary supporting theo...

Journal: :Journal of Approximation Theory 2007
Flavia Lanzara Vladimir Maz'ya Gunther Schmidt

The aim of this paper is to extend the approximate quasi-interpolation on a uniform grid by dilated shifts of a smooth and rapidly decaying function on a uniform grid to scattered data quasi-interpolation. It is shown that high order approximation of smooth functions up to some prescribed accuracy is possible, if the basis functions, which are centered at the scattered nodes, are multiplied by ...

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