Free Access
Microsc. Microanal. Microstruct.
Volume 8, Number 1, February 1997
Page(s) 59 - 75
Microsc. Microanal. Microstruct. 8, 59-75 (1997)
DOI: 10.1051/mmm:1997106

Image Analysis: Is the Fourier Transform Becoming Obsolete?

Noël Bonnet1, 2 et Philippe Vautrot2

1  Unité INSERM 314 (IFR 53 Biomolécules), 21 rue Clément Ader, 51685 Reims Cedex 2, France
2  Université de Reims, 21 rue Clément Ader, 51685 Reims Cedex 2, France

We show that, despite its great usefulness in image processing and analysis, the Fourier transform may also suffer from certain drawbacks and limitations. We show how several limitations of a technical nature can be overcome. More importantly, we show that the fundamental limitation of the Fourier transform, its lack of spatial localization, has favored the development of alternative tools for the local analysis of one-dimensional signals and images. The spectrogram technique, Gabor filters and wavelets are introduced with some examples of applications. Also, the importance of the spectrum phase is emphasized.

0780 - Electron and ion microscopes and techniques.
0650D - Data gathering, processing, and recording, data displays including digital techniques.
6140C - Optical information, image and video signal processing.

Key words
electron microscopy -- filtering theory -- Fourier transforms -- image processing -- image representation -- spectral analysis -- wavelet transforms -- image analysis -- Fourier transform -- image processing -- spatial localization -- local analysis -- one dimensional signals -- spectrogram technique -- Gabor filters -- wavelets -- applications -- spectrum phase -- electron microscopy

© EDP Sciences 1997