Number of hours
- Lectures 18.0
- Projects -
- Tutorials -
- Internship -
- Laboratory works -
- Written tests -
ECTS
ECTS 3.0
Goal(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
Responsible(s)
Laurent DESBAT
Content(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.
PrerequisitesBasic knowedge in analysis (integration, basic function properties, Fourier analysis)
Test
EXAM1 and EXAM2 are written exam
Possible BONUS with homeworks (exercices or numerical experiments)
N1 = MIN(MAX(EXAM1, 80%EXAM1+20%BONUS),20)
N2 = EXAM2
The exam is given in english only 
Calendar
The course exists in the following branches:
- Curriculum - Master 2 in Applied Mathematics - Semester 9 (this course is given in english only
)
Additional Information
Course ID : WMM9AM07
Course language(s):
You can find this course among all other courses.
Bibliography
C. Epstein, Introduction to the mathematics of medical imaging, SIAM
F. Natterer The mathematics of Computerized Tomography, SIAM