Volumes horaires
- CM 36.0
- Projet -
- TD -
- Stage -
- TP -
- DS -
Crédits ECTS
Crédits ECTS 6.0
Objectif(s)
Wavelets are basis functions widely used in a large variety of fields: signal and image processing, numerical schemes for partial differential equations, scientific visualization. This course will present the construction and practical use of the wavelet transform, and their applications to image processing : Continuous wavelet transform, Fast Wavelet Transform (FWT), compression (JPEG2000 format), denoising, inverse problems. The theory will be illustrated by several applications in medical imaging (segmentation, local tomography, …).
Sylvain MEIGNEN
Contenu(s)
1) From Fourier to wavelets : the continuous wavelet transform, time-frequency representation.
2) Construction of wavelet bases : multiresolution analyses, fast algorithms (FWT), compactly supported wavelets.
3) Applications to image processing : edge detection, compression, denoising, watermarking.
- Hilbert bases, Fourier transform (Applied Analysis)
- Image Processing
Practical project (using MATLAB/WaveLab) .
L'examen existe uniquement en anglais
Le cours est programmé dans ces filières :
- Cursus ingénieur - Master Math. et Applications - Semestre 9 (ce cours est donné uniquement en anglais )
Code de l'enseignement : WMM9AM50
Langue(s) d'enseignement :
Vous pouvez retrouver ce cours dans la liste de tous les cours.
S. MALLAT, A wavelet tour of signal processing, Academic Press, 1999.
Wavelet and Statistics, A. Antoniadis and G. Oppenheim eds, Springer, 1995.
B. TORRESANI, Analyse continue par ondelettes, Savoirs actuels - interéditions/CNRS éditions, 1995.