Inverse Problems and Medical Imaging

Inverse Problems and Medical Imaging

Cod: 23036

Department: DCET

Department: DCET

ECTS: 10

Scientific area: Mathematics

Scientific area: Mathematics

Total working hours: 260

Total contact time: 10

Total contact time: 10

Conditioning

Tomography

Scattering

Inversion

- Recognize an inverse problem and its difficulties;

- Identify the mathematical modeling of medical image acquisitions as an inverse problem;- Recognize the mathematical model of Computerized tomography in terms of the Radon transform;

- Recognize the mathematical model of acoustic wave propagation and obstacle scattering;

- Identify and apply numerical methods to solve the previous problems.

2) Mathematical Models for Computarized Tomography and its numerical solution;

3) Mathematical Models for Inverse Obstacle Scaterring Problems and its numerical solution;

• Natterer; The Mathematics of Computerized Tomography, SIAM, 2001;

• Natterer, Wuebbling: Mathematical Methods in Image Reconstruction, SIAM, 2001;

E-learning