Ensimag Rubrique Formation 2022

Medical imaging: tomography and 3D reconstruction - 5MM25331

  • Number of hours

    • Lectures 18.0
    • Projects -
    • Tutorials -
    • Internship -
    • Laboratory works -
    • Written tests -

    ECTS

    ECTS 1.5

Goal(s)

Understanding math for producing and managing medical imaging.
Managing medical images and data.

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.

Prerequisites

Basic knowedge in analysis (integration, basic function properties, Fourier analysis)

Test

WRITTEN = Written exam and possibly ORAL = oral exam (presentation of a journal publication) with eventually possible numerical experiments

N1 = WRITTEN or N1 = MAX(0.8*WRITTEN +0.2*BONUS ; WRITTEN)
N2 = WRITTEN
BONUS = homeworks

The exam is given in english only FR

Calendar

The course exists in the following branches:

    see the course schedule for 2020-2021

    Additional Information

    Course ID : 5MM25331
    Course language(s): FR

    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