The goal of this experiment is to introduce the field of medical imaging
and to implement basic techniques of iterative reconstruction. After
doing this experiment, you should have an idea about inverse problems
arising in medical tomography and about numerical optimization methods
that can be used in order to solve these problems.
The first part of the experiment introduces computational tomography
(particularly, the notion of projection and Radon transform) and basics
of optimization - a theory which tells how to algorithmically minimize
a given convex function of many variables. We will implement a simple
iterative algorithm for reconstruction of an object from its projection.
The second part is dedicated to the relation between the Radon and the
Fourier transforms and the frequency-domain reconstruction techniques
arising from this relation. We will implement an iterative inverse non-uniform
Fourier transform (NUFT) and use it for tomographic reconstruction.
Evgeny Gershikov, Room Meir 610,
Tel. 4725, firstname.lastname@example.org
Experiment room: Meir 614.
Download MATLAB code
Principles of computerized tomography, available online on http://www.slaney.org/pct/pct-toc.html.
Local copy: TomographyBook.zip