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Using NFFT 3-A Software Library for Various Nonequispaced Fast Fourier Transforms
被引:250
|作者:
Keiner, Jens
[1
]
Kunis, Stefan
[2
]
Potts, Daniel
[2
]
机构:
[1] Med Univ Lubeck, D-23560 Lubeck, Germany
[2] Tech Univ Chemnitz, D-09107 Chemnitz, Germany
来源:
ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE
|
2009年
/
36卷
/
04期
关键词:
Algorithms;
Documentation;
Theory;
Fast Fourier transforms;
approximative algorithms;
FAST ALGORITHMS;
FAST SUMMATION;
GRIDDING RECONSTRUCTION;
INTERPOLATION;
CONVOLUTION;
COMPUTATION;
D O I:
10.1145/1555386.1555388
中图分类号:
TP31 [计算机软件];
学科分类号:
081202 ;
0835 ;
摘要:
NFFT 3 is a software library that implements the nonequispaced fast Fourier transform ( NFFT) and a number of related algorithms, for example, nonequispaced fast Fourier transforms on the sphere and iterative schemes for inversion. This article provides a survey on the mathematical concepts behind the NFFT and its variants, as well as a general guideline for using the library. Numerical examples for a number of applications are given.
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