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Informatique et Mathématiques appliquées
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Medical Imaging: Tomography and 3D Reconstruction from 2D Projections - WMM9AM07

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  • Number of hours

    • Lectures : 18.0
    • Tutorials : -
    • Laboratory works : -
    • Projects : -
    • Internship : -
    • Written tests : -
    ECTS : 3.0
  • Officials : Laurent DESBAT

Goals

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

Content

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)

Tests

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 FR

Calendar

The course exists in the following branches:

  • Curriculum - Master 2 in Applied Mathematics - Semester 9 (this course is given in english only EN)
see the course schedule for 2020-2021

Additional Information

Course ID : WMM9AM07
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

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Date of update January 15, 2017

Université Grenoble Alpes