Volumes horaires
- CM 18.0
- Projet -
- TD -
- Stage -
- TP -
- DS -
Crédits ECTS
Crédits ECTS 3.0
Objectif(s)
Understanding maths for producing and managing medical imaging.
Managing medical images and data.
Understanding the mathematics of Computerized Tomography (CT)
Being able to understand modern CT and 3D image reconstruction from projections
Responsable(s)
Laurent DESBAT
Contenu(s)
CT Scanners and nuclear imaging (SPECT and PET) have greatly improved medical diagnoses and surgical planning. Mathematics is necessary for these medical imaging systems to deliver images. We present mathematical problems arising from these medical imaging systems. We show how to reconstruct images from projections of the attenuation function in radiology or respectively of the activity in nuclear imaging. We present recent advances in 2D and 3D reconstruction problems.
PrérequisBasic knowedge in analysis (integration, basic function properties, Fourier analysis)
Contrôle des connaissances
EXAM1 and EXAM2 are written exam
Possible BONUS with homework (exercices or numerical experiments)
N1 = MIN(MAX(EXAM1, 80%EXAM1+20%BONUS),20)
N2 = EXAM2
L'examen existe uniquement en anglais 
Calendrier
Le cours est programmé dans ces filières :
- Cursus ingénieur - Master 2 Math. et Applications - Semestre 9 (ce cours est donné uniquement en anglais
)
Informations complémentaires
Code de l'enseignement : WMM9AM07
Langue(s) d'enseignement :
Vous pouvez retrouver ce cours dans la liste de tous les cours.
Bibliographie
C. Epstein, Introduction to the mathematics of medical imaging, SIAM
F. Natterer The mathematics of Computerized Tomography, SIAM