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Basis function

Known as: Basis Functions, Blending function, Fourier basis 
In mathematics, a basis function is an element of a particular basis for a function space. Every continuous function in the function space can be… 
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Related topics

Related topics

38 relations
Approximation theoryAutomatic basis function constructionBasis (linear algebra)Basis set (chemistry)

Broader (2)

Linear algebraNumerical linear algebra

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2012
Highly Cited
2012
Multiple Kernel Fuzzy Clustering
While fuzzy c-means is a popular soft-clustering method, its effectiveness is largely limited to spherical clusters. By applying… 
Highly Cited
2011
Highly Cited
2011
Fundamentals of Wavelets: Theory, Algorithms, and Applications
Most existing books on wavelets are either too mathematical or they focus on too narrow a specialty. This book provides a… 
Highly Cited
2008
Highly Cited
2008
Fast Analysis of Large Antenna Arrays Using the Characteristic Basis Function Method and the Adaptive Cross Approximation Algorithm
The characteristic basis function method (CBFM) has been hybridized with the adaptive cross approximation (ACA) algorithm to… 
Highly Cited
2008
Highly Cited
2008
An empirical model of the Earth's horizontal wind fields: HWM07
[1] The new Horizontal Wind Model (HWM07) provides a statistical representation of the horizontal wind fields of the Earth's… 
Highly Cited
2006
Highly Cited
2006
On the Robustness of the Acoustic Scale in the Low-Redshift Clustering of Matter
We discuss the effects of nonlinear structure formation on the signature of acoustic oscillations in the late-time galaxy… 
Highly Cited
2003
Highly Cited
2003
Latest views of the sparse Radon transform
The Radon transform (RT) suffers from the typical problems of loss of resolution and aliasing that arise as a consequence of… 
Highly Cited
1999
Highly Cited
1999
A discontinuous hp finite element method for convection—diffusion problems
Highly Cited
1995
Highly Cited
1995
Wavelets and image fusion
This paper describes an approach to image fusion using the wavelet transform. When images are merged in wavelet space, we can… 
Highly Cited
1989
Highly Cited
1989
The LOT: transform coding without blocking effects
An exact derivation of an optimal lapped orthogonal transform (LOT) is presented. The optimal LOT is related to the discrete… 
Highly Cited
1986
Highly Cited
1986
Basis Set Selection for Molecular Calculations
The quantum chemistry literature containa references to a plethora of basis seta, currently numbering almost 100. While… 
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