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Scattered data quasi‐interpolation on spheres
Mathematical Methods in the Applied Sciences, 2014This paper studies the construction and approximation of quasi‐interpolation for spherical scattered data. First of all, a kind of quasi‐interpolation operator with Gaussian kernel is constructed to approximate the spherical function, and two Jackson type theorems are established.
Chen, Zhixiang, Cao, Feilong, Li, Ming
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Rational approximation with multidimensional scattered data
Physical Review E, 2002Accurate and efficient rational approximation schemes are presented for interpolating multidimensional scattered data with a novel weighted least-squares procedure including domain decomposition. Two particular representations of the method are formulated and the corresponding algorithms are implemented.
Xu-Guang, Hu +2 more
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2004
Many practical applications require the reconstruction of a multivariate function from discrete, unstructured data. This book gives a self-contained, complete introduction into this subject. It concentrates on truly meshless methods such as radial basis functions, moving least squares, and partitions of unity.
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Many practical applications require the reconstruction of a multivariate function from discrete, unstructured data. This book gives a self-contained, complete introduction into this subject. It concentrates on truly meshless methods such as radial basis functions, moving least squares, and partitions of unity.
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Data scattering in scanning tunneling spectroscopy
Ultramicroscopy, 2008We investigated the scattering of current-voltage data obtained with scanning tunneling spectroscopy (STS) at room temperature at a solid-liquid interface on highly oriented pyrolytic graphite (HOPG) and in ultrahigh vacuum on HOPG and Au(111). For both experimental conditions, the data scattering can be described by a lognormal function for a moderate
N, Severin +6 more
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1999
In der Plattengleichung konnen die Materialparameter als Interaktionsparameter benutzt werden. Das physikalische Verhalten einer Platte wird durch eine partielle Differentialgleichung beschrieben. Ich benutze die Materialwerte in dieser Gleichung als Interaktionsparameter, um eine Flache einfach und intuitiv verandern zu konnen.
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In der Plattengleichung konnen die Materialparameter als Interaktionsparameter benutzt werden. Das physikalische Verhalten einer Platte wird durch eine partielle Differentialgleichung beschrieben. Ich benutze die Materialwerte in dieser Gleichung als Interaktionsparameter, um eine Flache einfach und intuitiv verandern zu konnen.
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Inversion of Vibrationally Inelastic Scattering Data
Berichte der Bunsengesellschaft für physikalische Chemie, 1977Methods are derived whereby vibrationally inelastic cross sections may be inverted to obtain a spherically symmetric effective potential (a rotational average of the complete potential) for atom/diatomic collisions. Classical and semi-classical methods are used to obtain inelastic opacity and deflection functions; these are further processed to give ...
Collins, Michael A., Gilbert, Robert G.
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1988
In Technik und Naturwissenschaften stellt sich haufig das Problem sehr grose Datenmengen, die zudem weitgehend unregelmasig verstreut sind, zu interpolieren beziehungsweise zu approximieren. Im Rahmen dieses Artikels werden effiziente Algorithmen vorgestellt und an praktischen Beispielen erlautert.
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In Technik und Naturwissenschaften stellt sich haufig das Problem sehr grose Datenmengen, die zudem weitgehend unregelmasig verstreut sind, zu interpolieren beziehungsweise zu approximieren. Im Rahmen dieses Artikels werden effiziente Algorithmen vorgestellt und an praktischen Beispielen erlautert.
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Facing Tagging Data Scattering
2009Web2.0 has brought tagging at the forefront of user practises for organizing and locating resources. Unfortunately, these tagging efforts suffer from a main drawback: lack of interoperability. Such situation hinders tag sharing (e.g. tags introduced at del.icio.us to be available at Flickr ) and, in practice, leads to tagging data to be locked to ...
Oscar Díaz +2 more
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Multivariate Rational Interpolation of Scattered Data
2004Rational data fitting has proved extremely useful in a number of scientific applications. We refer among others to its use in some network problems [6,7,15,16], to the modelling of electro-magnetic components [20,13], to model reduction of linear shift-invariant systems [2,3,8] and so on.
Becuwe, Stefan +2 more
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Interpolating scattered data with C2 surfaces
Computer-Aided Design, 1995The authors present a method for interpolating scattered data over a region in \(\mathbb{R}^2\), such that the resulting surface of interpolation is guaranteed to be \(C^2\)-continuous. The two main steps of the method are: Find a network of curves (over a given triangulation of the region), which minimizes a certain functional, explicitly given in the
Kolb, Andreas, Seidel, Hans-Peter
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