Fourier analysis


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Related to Fourier analysis: Fourier series

Fou·ri·er a·nal·y·sis

(fūr-ē-ā'),
a mathematical approximation of a function as the sum of periodic functions (sine and/or cosine waves) of different frequencies; a method of converting a function of time or space into a function of frequency; used in reconstruction of images in computed tomography and magnetic resonance imaging in radiology and in analysis of any kind of signal for its frequency content.

Fou·ri·er a·nal·y·sis

(fūr-ē-ā' ă-nal'i-sis)
A mathematical approximation of a function as the sum of periodic functions (sine waves) of different frequencies; used in reconstruction of magnetic resonance images and computed tomographs and analysis of any kind of signal for its frequency content.

Fourier,

J.B.J., French mathematician and administrator, 1768-1830.
Fourier analysis - used in reconstruction of images in computed tomography and magnetic resonance imaging in radiology and in analysis of any kind of signal for its frequency content. Synonym(s): Fourier law; Fourier transform
Fourier law - Synonym(s): Fourier analysis
Fourier transform - Synonym(s): Fourier analysis

Fourier analysis

The mathematical breakdown of waveforms into simple sine wave constituents. Any complex waveform consists of sine waves of different frequencies: the slowest (fundamental) frequency and harmonics thereof (these are frequencies which are odd multiples of the fundamental frequency). It is used in analysis and reconstruction of waveforms as, for example, analysing the spatial frequency components of a visual image. Syn. Fourier transform. See contrast sensitivity.
References in periodicals archive ?
Elliptical Fourier analysis of symphyseal shape in great ape mandibles.
The Fourier analysis tells us about cycles, and neural networks about the most probable events to happen in the near future, and both reach a common conclusion: at most 2 years before 2020, the DJIA/GF will have a sustained recovery to give birth to a new cycle.
This procedure generated a total of 1,503,600 Cartesian (x and y) outline coordinates, which was used as data in elliptic Fourier analysis (EFA).
Fourier analysis provides a description of form without reference to landmarks.
0.729 1 Laguerre shift 0.729 1 Kautz shift 0.694 4 Pade shift 0.82 1 Fourier analysis 1.134 5
vi) Envelopes of partials of recorded and synthesized tone are recovered using short-time Fourier analysis. The recorded/synthesized piano tone is sliced into frames.
According to www.fourieroptics.org, "Fourier optics describes the propagation of light using Fourier analysis. It can be used to describe Fresnel and Fraunhofer diffraction.
Fourier analysis is the decomposition of a signal in terms of sinusoidal functions of different frequencies that can be recombined to obtain the original signal.
Carried out by the authors analysis of the received signal with application of Fourier analysis (Figure 2) confirmed presented above conclusions about possibility of identification of global stages (events) of a technological process.
Presenting a practical, problem-based approach to color physics, this book describes the key issues encountered in modern color engineering, including efficient representation of color information, fourier analysis of reflectance spectra and advanced colorimetric computation.
image restoration, nonlinear partial differential equations, singularity, nonlinear iterations, Fourier analysis, multigrid method
In essence, wavelet estimators extend the main ideas of Fourier analysis to situations, in which different forms of non-stationary behavior are expected.