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2. Some problems in multidimensional signal processing
Here are a few examples of problems where the Fourier transform plays an important role, both practically and theoretically, as computing power makes it possible to process signals in three-dimensional spaces. First we look at the possibilities offered in the field of wave propagation, then image reconstruction in tomography and nuclear magnetic resonance, then applications in interferometry and finally pre-processing in contour detection in image analysis.
2.1 Problems related to wave propagation
Many developments concern the modeling and analysis of signals propagating in space as a function of time. (Note that J. Fourier developed his decomposition of a function in the form of a sum of sinusoidal functions to deal with propagation problems corresponding...
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Some problems in multidimensional signal processing
Bibliography
Websites
(non-exhaustive list)
These links provide access to various documents in the field of signal processing
http://perso.wanadoo.fr/michel.hubin/physique/
http://perso.wanadoo.fr/polyvalens/clemens/transforms/index.html
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