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Informatique et Mathématiques appliquées
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> Formation > Cursus ingénieur

Medical imaging: tomography and 3D reconstruction - 5MM25331

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  • Number of hours

    • Lectures : 18.0
    ECTS : 1.5

Goals

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

Contact Laurent DESBAT

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

Semester 9 - The exam is given in english only 

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



N1 = WRITTEN or N1 = MAX(0.75*WRITTEN +0.25*ORAL)
N2 = WRITTEN

Additional Information

Semester 9 - This course is given in english only EN

Curriculum->Math. Modelling, Image & Simulation->Semester 9

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

Grenoble INP Institut d'ingénierie Univ. Grenoble Alpes