Number of hours
- Lectures 36.0
- Projects -
- Tutorials -
- Internship -
- Laboratory works -
- Written tests -
ECTS
ECTS 6.0
Goal(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, …).
Responsible(s)
Sylvain MEIGNEN
Content(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
Test
Practical project (using MATLAB/WaveLab) .
The exam is given in english only 
Calendar
The course exists in the following branches:
- Curriculum - Master in Applied Mathematics - Semester 9 (this course is given in english only
)
Additional Information
Course ID : WMM9AM50
Course language(s):
You can find this course among all other courses.
Bibliography
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.