Imaging and Inversion University of Bordeaux
The course deals with methods, models and algorithms for inverseproblems in imaging. The subject matter of the course is exemplifiedthrough a variety of application field (medical, astrophysical,geophysical, remote-sensing, non-destructive evaluation, etc.) andseveral imaging modalities (scanner, tomography, echography, opticalimaging, MRI, etc.). The core of the course deals with problems suchas: deconvolution, Fourier synthesis, inverse Radon, denoising, etc.The focus is on the deconvolution problem.
- Level B2 CEFR in English - Basic knowledge of linear algebra (matrix, eigenvalue,positive-definite matrix, etc.).
Written examination (3 hours) and practical work.
- The first chapter deals with standard linear methods (inversefilter, Wiener, shortly Kalman...) based on quadratic criteria. Theyoften strike an interesting compromise between the quality of therestored images on the one hand and ease of implementation andnumerical efficiency on the other hand. - The second chapter resorts to non-quadratic convex criteria(differentiable or not) and the optimization step relies onhalf-quadratic techniques. It allows for efficient edge-preservingimage restoration. - The third point is devoted to constraints, mainly positivity andsupport. Implementation is based on augmented Lagrangian andAlternative Direction Methods of Multipliers (ADMM).These approachesresult in resolution improvement of computed images. - The last point deals with unsupervised and myopic problems. Theyare partially open questions, crucial in practical applications andattractive from a theoretical standpoint. A possible solution takesadvantage of a Bayesian interpretation of the previously mentionedscheme and allows for self-tuned and self-calibrated methods.
> Face-to-face teaching teaching (50 hours): - Lectures (20 hours), - Tutorial classes (10 hours), - Practical work (20 hours). > 100 hours personal work.
Online Course Requirement
Duration: 12 weeksLanguage of instruction: EnglishMode of delivery: Face-to-face teaching; Personal work.
Site for Inquiry
Please inquire about the courses at the address below.
Contact person: Jean - François Giovannellijeanfirstname.lastname@example.org